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Evokation
  
 
Index
  

 

 

 

 

 

 

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
=
7
=
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
=
7
=
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
=
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
=
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
-
9
=
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
-
9
=
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
=
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
=
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

 

 

 

 

 

 

...

 

 

 

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
=
7
=
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
=
7
=
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
=
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
=
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
=
9
=
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
=
9
=
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
=
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
=
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

 

ADVENT 798 ADVENT

 

-
THE RAINBOW LIGHT
-
-
-
3
THE
33
15
6
7
RAINBOW
82
37
1
5
LIGHT
56
29
2
15
THE RAINBOW LIGHT
171
81
9
1+5
-
1+7+1
8+1
-
6
THE RAINBOW LIGHT
9
9
9

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
18
-
189
90
18
1+8
-
1+8+9
9+0
1+8
9
-
18
9
9
-
-
1+8
-
-
9
-
9
9
9

 

 

PEACE BE UNTO YOU BELOVED CHILDREN OF THE RAINBOW LIGHT

 

 

1
I
9
9
9
2
AM
14
5
5
3
THE
33
15
6
8
OPPOSITE
115
43
7
2
OF
21
12
3
3
THE
33
15
6
8
OPPOSITE
115
43
7
1
I
9
9
9
2
AM
14
5
5
3
THE
33
15
6
8
OPPOSITE
115
43
7
2
OF
21
12
3
8
OPPOSITE
115
43
7
2
IS
28
19
1
3
THE
33
15
6
2
AM
14
5
5
1
I
9
9
9
6
ALWAYS
81
18
9
2
AM
14
5
5
64
First Total
793
325
109
6+4
Add to Reduce
7+9+3
3+2+5
1+0+9
10
Second Total
10
10
10
1+0
Reduce to Deduce
1+0
1+0
1+0
1
Essence of Number
1
1
1

 

 

6
BEYOND
65
29
2
3
THE
33
15
6
4
VEIL
48
21
3
7
ANOTHER
81
36
9
4
VEIL
48
21
3
7
ANOTHER
81
36
9
4
VEIL
48
21
3
6
BEYOND
65
29
2
41
First Total
469
208
37
4+1
Add to Reduce
4+6+9
2+0+8
3+7
5
Second Total
19
10
10
-
Add to Reduce
1+9
1+0
1+0
5
Third Total
10
1
1
-
Reduce to Deduce
1+0
-
-
5
Essence of Number
1
1
1

 

 

 

THE ATLANTIS SECRET

A COMPLETE DECODING OF PLATOS LOST CONTINENT

Alan F Alford 2001

The Athens and Atlantis Story in Brief

Page 225

" Timaeus and Critias have spent the previous evening in deep discussion about the ideal state. Moreover, he says, Critias had brought up a story `from ancient times' (ek palaios) about a war between ancient Athens and Atlantis, and it might well suit the purpose of the assignment (i.e. it describes a war)." Critias then relates his tale, or rather a concise version of it. It is the story of Atlantis in its original version — the story that has puzzled commentators for more than two thousand years.

The Athens and Atlantis Story in Brief

Critias is the next to speak, initially setting out a 'concise version' of the story. He begins his speech in Timaeus as follows:
"Let me tell you this story then, Socrates. It's a very strange one, but even so, every word of it is true. It's a story that Solon, the wisest of `the seven sages', once vouched for... The story is that our city had performed great and marvellous deeds in ancient times, which, owing to the passage of time and to the destruction of human life, have vanished. Of all these deeds one in particular was magnificent. It is this one that we should now do well to commemorate and present to you as our gift of thanks "12
In response to Critias' introduction, Socrates declares that he has never heard of this singular magnificent feat of the ancient Athenians. The onus is therefore on Critias to justify the authenticity of the story before he relates it to his host, who is one of the most wise and learned men of the day.
Critias thus explains the origins of his 'very strange' story. He assures Socrates that the story has been transmitted privately through his family across a span of four generations, beginning with his great-grandfather Dropides, who had heard the story fromSolon, a famous Athenian statesman." Solon, in turn, had learned the story in Egypt from some wise old priests at the town of Sais (this would be in the 6th century BC by our reckoning). Yes, it did seem odd that the present-day Athenians were unfamiliar with the magnificent feat of their ancestors, but this could be explained by the great antiquity of the event, which caused it to have been preserved only in the annals of the Egyptian Saites.
Critias himself had heard the story as a ten-year-old boy, when his ninety-year-old grandfather, Elder Critias, had recited it from memory at the Apaturia festival.14 He now relies on his own memory to recall what his grandfather had said concerning Solon's visit to Egypt. The crucial conversation, says Critias, occurred when Solon began to speak of Greek antiquity. It was at this point that one of the Saite priests — 'a very old man' — mocked Solon and the Greeks for their inadequate understanding of the past. "Ah Solon, you Greeks are ever children" the priest said: "You are young in soul every one of you"." He then informed Solon that: "There have been, and there will continue to be, numerous disasters that have destroyed, human life in many kinds of ways." The most serious of these, said the priest, involved deluges of fire and water, which would sweep down from the heavens at regular intervals. He then explained that the Greek myth of Phaethon contained a profound truth concerning these recurrent cataclysmic events (see citation in chapter four of this book).
The Egyptian priest then mocked Solon again, comparing his account of Greek antiquity to 'a nursery tale'. Firstly, he said, the Greeks knew only one flood (the flood of Deucalion), whereas in fact there had been a great many before. Secondly, he said there had lived in Athens 'before the greatest of these floods' a distinguished race of men who had been the progenitors of the Athenianpeople and its civilisation. This race of ancient Athenians had been the finest of all ancient civilisations in the natural justice of their laws and in their bravery on the battlefield, and yet
their deeds had been completely forgotten by Solon and the present-day race of Athenians."
Solon, astonished, then begged the Saite priest to tell him everything that he knew about the ancient Athenians, and thus it was that he learned the story of the war against Atlantis.
The priest began the story as follows:

"Your city [Athens] the goddess [Neith/Athene] founded first, a thousand years before our city [Sais], when she had received from Earth and Hephaestus the seed from which your people were to come. Now our social arrangement, according to the records inscribed in our sacred documents, is eight thousand years old. Nine thousand years ago, then, did these fellow citizens of yours live, whose laws and finest achievement I'll briefly describe to you...""
Note the implication here. The ancient Athenians, who were about to go to war against Atlantis, were the first generation of Athenians, whom the goddess Athene had created from the earth using the meteoritic seed of
Hephaestus. As we shall see, we are dealing with a people who lived aeons before the flood of Deucalion.
The priest now continues with his story:

"Now many great accomplishments of your city recorded here are awe-inspiring, but there is one that surely surpasses them all in magnitude and excellence. The records speak of a vast power that your city once, brought to a halt in its insolent march against the whole of Europe and Asia at once — a power that sprang forth from beyond, from the Atlantic Ocean. For at that time this ocean was passable, since it had an island in it, in front of the strait that you people say you call 'the Pillars of Heracles'. This island [Atlantis] was larger than Libya and Asia [Minor] combined, and it provided passage to the other islands... From those islands one could then travel to the entire continent on the other side, which surrounds that real sea beyond..."
to the clear statement here that the Isle of Atlantis lay in the Atlantic dean, beyond the Pillars of Heracles (i.e. the straits of Gibraltar).2° But to also the reference to the continent that lay beyond Atlantis 'on the er side'. This has led some commentators to suggest that the continent beyond (the so-called 'opposite continent') is America. But are things ly so simple? Unfortunately, the passage throws up two anomalies of pernatural proportions. Firstly, the Isle of Atlantis is said to be 'larger
Libya and Asia Minor combined' — a quite implausible notion. And condly, the opposite continent is said to completely surround the 'antic Ocean — a quite remarkable idea. When we stop to think about neither statement makes any sense in a geographical context.
The priest now relates to Solon a very brief account of the war:

"Now on this Isle of Atlantis a great and marvellous royal power established itself, and ruled not only the whole island, but many of the other islands and parts of the [opposite] continent as well... Now one day this power gathered all of itself together, and set out to enslave all of the territory inside the strait, including your region and ours, in one fell swoop. Then it was Solon, that your city's might shone bright with excellence and strength, for all mankind to see. Pre-eminent among all others in the nobility of her spirit and in her use of all the arts of war, she first rose to the leadership of the Greek cause. Later, forced to stand alone, deserted by her allies, she reached a point of extreme peril. Nevertheless, she overcame the invaders and erected her monument of victory. She prevented the enslavement of those not yet enslaved, and generously freed all the rest of us who lived within the boundaries of Heracles."21
This is as much detail as we are going to get concerning the war between Athens and Atlantis. The account, it must be said, is extremely sketchy. What is clear, once again, however, is that the Atlantians invaded the Ntediterranean region via the Pillars of Heracles (the straits of Gibraltar), So strictly speaking it is a Mistake to seek Atlantis anywhere but in the Atlantic Ocean

The Egyptian priest now reaches the climax or his story'
Page 228

"Further back, excessively, violent earthquakes and floods occurred, and after the onset of an unbearable day and a night, your entire warrior force sank below the earth all at once, and the Isle of Atlantis likewise sank below the sea and disappeared. That is how the Ocean in that region has come to be even now unnavigable and unexplorable, obstructed as it is by a layer of mud at a shallow depth, the residue of the island as it settled."22

This passage contains two extraordinary anomalies which must be added to the two highlighted earlier. Firstly, it is said that the entire Athenian warrior force sank into the earth at the same time as the island of Atlantis sank into the sea — a highly implausible coincidence (indeed, the fates of both sides lend a surreal and mythical note to the story). And secondly, it s suggested that the island of Atlantis turned into a shallow sea of mud — a most unlikely occurrence (even more bizarrely, it is implied that the mud caused a blockage in the Atlantic Ocean for a span of nine thousand years, right up to the time of Solon!).
True Fiction
Critias closes his report of Solon's story by emphasising the amazing correspondence between the ancient Athenians and the citizens of Socrates' ideal state.23 Referring to his opening speech as merely 'a concise version' of Solon's story, he proposes that he and Timaeus will now take turns to provide further details. Their plan is to fulfil Socrates' wish by supposing that the citizens of his ideal state — a purely imaginary people — are identical to the ancient Athenians who really existed' nine thousand years ago:
'We'll translate the citizens and the city you described to us in mythical fashion'yesterday to the realm of fact, and place it before us as though it is ancient Athens itself. And we'll say that the citizens you imagined are the very ones the [Egyptian] priest spoke about, our actual ancestors. The congruence will be complete and our song will be in tune if we say that your imaginary citizens are the ones who really existed at that time."24
There can be no clearer statement that the story of Athens and Atlantis is a literary fiction, designed for the purpose of bringing Socrates' ideal state to life. Nevertheless, whilst this fictional dimension must always be borne in mind, there is an emphasis, too, on the essential 'truth' of the story; hence the idea here that the ancient Athenians 'really existed at that time'. The question is this: are we dealing with people who 'really /Page 229 / existed' in the sense of history, or with sense of myth?
Returning to the text of Timaeus, Critias friend Timaeus who embarks on a for the subject of the origin of the Universe this connects with Socrates' ideal state Athens and Atlantis remains something of a mystery, It should be noted, however, that Timaeus' subject is Pythagorean cosmogony, and that his mystical God-Sphere, Derniourgos, i (see chapter eleven and appendix a). I and Atlantis story has a cosmic dimension?
Bearing this in mind, let us continue Timaeus' speech and proceeding to the next of Plato's works: that which is entitled Critias."

 

POSE IDEA ON I SUPPOSE

I DIE DIE I

 

 

-
POSEIDON
-
-
-
3
P+O+S
50
14
5
3
EID
18
18
9
2
O+N
29
11
2
8
POSEIDON
97
43
16
-
-
9+7
4+3
1+6
8
POSEIDON
16
7
7
-
-
1+6
-
-
8
POSEIDON
4
7
7

 

 

-
8
P
O
S
E
I
D
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
6
1
-
9
-
6
5
+
=
27
2+7
=
9
-
9
-
9
-
-
-
15
19
-
9
-
15
14
+
=
72
7+2
=
9
-
9
-
9
-
8
P
O
S
E
I
D
O
N
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
5
-
4
-
-
+
=
16
1+6
=
7
-
7
-
7
-
-
16
-
-
5
-
4
-
-
+
=
25
2+5
=
7
-
7
-
7
-
8
P
O
S
E
I
D
O
N
-
-
-
-
-
-
-
-
-
-
-
-
16
15
19
5
9
4
15
14
+
=
97
9+7
=
16
1+6
7
-
7
-
-
7
6
1
5
9
4
6
5
+
=
43
4+3
=
7
-
7
-
7
-
8
P
O
S
E
I
D
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
-
1
2
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
-
4
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
6
-
-
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
-
7
8
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
-
9
13
8
P
O
S
E
I
D
O
N
-
-
32
-
-
8
-
43
-
25
1+3
-
-
-
-
-
9
-
-
-
-
-
3+2
-
-
-
-
4+3
-
2+5
4
8
P
O
S
E
I
D
O
N
-
-
5
-
-
8
-
7
-
7
-
-
7
6
1
5
9
4
6
5
-
-
-
-
-
-
-
-
-
-
4
8
P
O
S
E
I
D
O
N
-
-
5
-
-
8
-
7
-
7

 

 

8
P
O
S
E
I
D
O
N
-
-
-
-
-
--
-
-
-
-
-
-
6
1
-
9
-
6
5
+
=
27
2+7
=
9
-
9
-
9
-
-
15
19
-
9
-
15
14
+
=
72
7+2
=
9
-
9
-
9
8
P
O
S
E
I
D
O
N
-
-
-
-
-
-
-
-
-
-
-
7
-
-
5
-
4
-
-
+
=
16
1+6
=
7
-
7
-
7
-
16
-
-
5
-
4
-
-
+
=
25
2+5
=
7
-
7
-
7
8
P
O
S
E
I
D
O
N
-
-
-
-
-
-
-
-
-
-
-
16
15
19
5
9
4
15
14
+
=
97
9+7
=
16
1+6
7
-
7
-
7
6
1
5
9
4
6
5
+
=
43
4+3
=
7
-
7
-
7
8
P
O
S
E
I
D
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
-
4
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
6
-
-
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
-
7
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
-
9
8
P
O
S
E
I
D
O
N
-
-
32
-
-
8
-
43
-
25
-
-
-
-
-
9
-
-
-
-
-
3+2
-
-
-
-
4+3
-
2+5
8
P
O
S
E
I
D
O
N
-
-
5
-
-
8
-
7
-
7
-
7
6
1
5
9
4
6
5
-
-
-
-
-
-
-
-
-
-
8
P
O
S
E
I
D
O
N
-
-
5
-
-
8
-
7
-
7

 

 

PLATO

DROPS IDEAS IDEAS DROPS

 

-
DROPIDES
-
-
-
4
DROP
53
26
8
4
IDES
37
19
1
8
DROPIDES
90
45
9
-
-
9+0
4+5
-
8
DROPIDES
9
9
9
-
-
-
-
-
-
-
-
-
-
-
DROPIDES
-
-
-
1
D
4
4
4
1
R
18
9
9
2
OP
31
13
4
1
I
9
9
9
2
DE
9
9
9
1
S
19
1
1
8
DROPIDES
90
45
9
-
-
9+0
4+5
-
8
DROPIDES
9
9
9
-
-
-
-
-
-
-
-
-
-
-
ATHENIAN
-
-
-
2
AT
21
3
3
3
HEN
27
18
9
1
I
9
9
9
2
AN
15
6
6
8
ATHENIAN
72
36
27
-
-
7+2
3+6
2+7
8
ATHENIAN
9
9
9
-
-
-
-
-
-
-
-
-
-
1
I
9
9
9
4
LOVE
54
18
9
6
DIVINE
63
36
9
4
PLATO
64
19
1

 

 

TO

PLATO BELOVED BELOVED PLATO

TO

PLAY

DROPS IDEAS ASIDE PRODS

PRODUCE IDEAS IDEAS PRODUCE

 

IDEAS

I

DIE AS DIE

 

"1,2,3,4: Pythagoras and the Cosmology of Number ... to multiplicity via duality and trinity, is expressed even more graphically in ... Michell, The Dimensions of Paradise: The Proportions and Symbolic Numbers of ... vedicmaths.org/Free Resources/Articles/1234_pythagoras.asp - Cached

Free Resources
1,2,3,4: PYTHAGORAS

1,2,3,4: PYTHAGORAS AND THE COSMOLOGY OF NUMBER

At the heart of vedic mathematics lies a principle that underscores most, if not all, of the ancient wisdom traditions, the conveying of knowledge through cryptic, highly compressed expressions, open to multiple levels of interpretation. A prime example of this is the teaching of the Greek mathematician and sage Pythagoras. According to his ancient biographers:

"In the Pythagorean school, knowledge was transmitted symbolically, through the use of cryptic statements and riddles, in which a small number of words was pregnant with multiple levels of interpretation. Students were required to find meaning in these enigmatic lessons, sometimes through questioning and dialogue, sometimes by meditating upon their many possible meanings." (1)

If this was true of Pythagorean teachings, it was even more significant in more ancient schools of knowledge; it was, after all, at these schools, in Egypt, Babylon, and elsewhere, that Pythagoras gained his knowledge. In the case of the Indian tradition, both in Vedic times and later in the Hindu and Buddhist periods, the term most commonly encountered for this kind of cryptic literature was the sutra or collection of sutras. While this is often translated as "aphorism," or "formula," the word comes from the Sanskrit root for "thread," a usage that persists in the modern word "suture." As doctors use sutures to sow us up after surgery, the ancient sutras tie together our knowledge and integrate our awareness. There is no better example than the teachings contained in Patanjali's Yoga Sutras whose terse expressions contain instructions for the development of higher states of consciousness. Similarly, all the principles of vedic mathematics are encapsulated in sixteen sutras, which, along with thirteen sub-sutras, provide the basis for all the operations described in "The Cosmic Computer" (2).
If vedic mathematics can be counted as part of vedic literature, its ultimate source is the Rg Veda. This is certainly not concise, consisting of over 10,000 verses, but, as His Holiness Maharishi Mahesh Yogi has explained, it has a unique structure in which the essence of the whole text is essentially contained in one highly compressed expression--its first word. "It is the purpose of all ciphers to invest a few signs with much meaning," Carlo Suarès tells us. "In the severity of its beginning, in its first chapter, in its first sequence of letter numbers, is the seed, and in the seed is the whole." (3)
Suarès is referring to the beginning of Genesis, in which the process of creation is described, using the symbolism of gematria, in which each letter is given a numerical value. (4) According to Maharishi, the Rg Veda also sets forth a cosmogony in its first word-- Agni, but using a purely linguistic symbolism based on the physiology of speech. The first letter, or sound, AAAAAA…, pronounced with the mouth and throat fully open, and thus with a fully open sound, represents the fullness of the unmanifest, unbounded Brahman. But the letter G, a full glottal stop, introduces the first boundary on the full openness of the sound AAAAAA…. As the wave value of a sub-atomic particle collapses onto a point value when observed, so the unity, or samhita, value of Brahman collapses onto a point and becomes the triadic value of rishi, devata and chhandas, observer, process of observing, and object of observation. From here the process of manifestation begins. As the full stream of manifestation emerges, it leads on to the fullness of creation, and this is represented by the syllable NI, the same name given to the leading tone in Indian music (Sa, Re, Ga, Me Pa, Dha, Ni.....). The details of the process, and the content of manifestation and evolution, are unfolded through the rest of the verses of Rg Veda and commented upon by the rest of Vedic literature, including vedic mathematics.
Unity, duality, diversity, wholeness. These are the mechanics of creation described in different symbolic formulations in different knowledge traditions. To find it in purely mathematical or numerical form we return to the Pythagorean tradition, and its most concise expression comes from his successor Plato. Considered the most Pythagorean of Platonic dialogues, the Timaeus begins with a question by Socrates: "One, two, three ? but where, my dear Timaeus, is the fourth of my guests of yesterday who were to entertain me today?" (5) Commentators usually ignore this statement, but, as we have seen, in ancient literature every expression is "pregnant with multiple levels of meaning." This is particularly true when dealing with numbers.

"He [Pythagoras] held that the ultimate substances of all things, material and immaterial, were numbers, which had two distinct and complimentary aspects. On the one hand, they had a spatial and dynamic existence, and, on the other, they were fundamental formulating principles which were purely abstract. Thus, for example, the monad was understood by the Pythagoreans both as the number one, which had physical properties that could be manipulated in nature, and as an idea, which embodied the original unity at the source of all creation." (6)

The fundamental formulating principles in the universe are those values of unity, duality, diversity and wholeness we have already encountered. In Pythagorean thought these principles are clearly expressed in the first four numbers. Furthermore, this symbolism can be interpreted in terms of the Quadrivium, the four Pythagorean mathematical disciplines: arithmetic, music, geometry and astronomy.
Arithmetic was seen as the study of the abstract essence of things. Thus each number had a cosmological, as well as mathematical, significance. The monad, manifest as the number one, denotes the primordial unity at the basis of creation. The transition from one to two, from the monad to the dyad, represents the first step in the process of creation--unity polarizing within itself becomes duality. Three, the triad, is the first true number. One contains the seed, and two introduces potential. Three brings number into being, causing the potential contained within the monad to manifest into its true expression, the world of plurality and multitude.
If one and two initiate creation, three and four complete the process. Therefore, the tetrad, four, represents completion. Everything in the universe, both natural and numerical, is completed in the progression from one to four as 1 + 2 + 3 + 4 = 10, which brings us to the decad, also known to the Pythagoreans as the tetraktys, and representing their most sacred symbol. The same sequence, from unity to multiplicity via duality and trinity, is expressed even more graphically in the simplest and most basic musical relationships, those expressed through the numbers 1,2,3,4. The simplest and most fundamental musical relationship is the octave, discovered by Pythagoras to be the 1:2 relationship, and by Joseph Saveur (1653-1716) many centuries later, to be the first relationship in the harmonic overtone series. The experience of the octave is of two notes that are the same and yet different, and these values, sameness and difference are the fundamental substances used by the Demiurge to create the World-Soul in the Timaeus. Further, the octave provides the boundary conditions within which the musical universes contained within scales are formed, the values of Do in Do, Re, Mi, Fa, So, La, Ti, Do. Of these intervals, the central ones are those found to be next in the overtone series, 2:3, known as the fifth and 3:4 known as the fourth. These values are found in the first four harmonics of the overtone series, first 1:2 (octave), then 2:3 (fifth) then 3:4 (fourth) recapitulating the octave at the next power of two. In four simple sounds the whole process of unity, duality, multiplicity and wholeness is presented to the awareness.
In subsequent centuries, the science of geometry was developed into a sacred form in which the same process is represented by the circle (unity), contrasted with the square (diversity), and reconciled in the squaring of the circle, in alchemical practice, and the development of the mandala in Eastern art and architecture. "The object of sacred geometry being to depict that fusion of opposites, the squared circle is therefore its first symbol. Temples and cosmological cities throughout antiquity were founded on its proportions." (7) For Pythagoras, the symbolism of wholeness (kosmos) and order (harmonia) extended beyond mathematical to astrological phenomena. A theoretical planet called the counter-earth was posited to bring the number of heavenly bodies in the Pythagorean firmament to ten, the perfect number, the number of the tetraktys. And over time, an association between planets and musical notes was developed and elaborated into the famous "music of the spheres," a beautiful image of the kosmos as a divine harmony.
Having seen its range of implications, it could almost be stated that the sequence 1,2,3,4 sums up, in a compressed symbolism, the whole range of Pythagoreanism. But if we delve deeper into Platonic thought, a further dimension is revealed. In one of his most potent allegories, known as the "Divided Line," Plato sets out his theories of ontology and epistemology, and again it is done in terms of the number four. In this analogy, Plato makes a distinction between the outer realm of the world, illuminated by the sun and the inner realm of the mind, illuminated by the Good. The Divided Line passage divides each of these realms into two further sections. Plato also deals with the state of mind in which the resultant four realms are apprehended, resulting in the following scheme:

Level Object Faculty Type of Knowledge

IV Forms dialectic transcendental cognition } internal III mathematics thinking, scientific understanding } world Etc. reasoning

--------------------------------------------------------------------------------

II physical sense common-sense belief } external objects perception } world I shadows illusory illusion (8) perception

It can be seen from this scheme that within the subjective realm of the mind, Plato posits a level of knowledge higher than that which deals with mathematical objects through the processes of thinking and reasoning. This is the level of the forms and it is reached, Plato tells us, through the use of the "second phase" of the dialectic, a technique that, according to Jonathan Shear is similar to the practice of jñana yoga. (9) This again reflects the Pythagorean approach to mathematics, one that must, on some level at least, apply to vedic maths also:

"For Pythagoras, mathematics served as a bridge between the visible and invisible worlds. He pursued the discipline of mathematics not only as a way of understanding and manipulating nature, but also as a means of turning the mind away from the physical world, which he held to be transitory and unreal, and leading it to the contemplation of eternal and truly existing things that never vary. He taught his students that by focusing on the elements of mathematics, they could calm and purify the mind, and ultimately, through disciplined effort, experience true happiness." (10)

Notes:

(1) John Strohmeier and Peter Westbrook. Divine Harmony: The Life and Teachings of Pythagoras. (Berkeley, CA: Berkeley Hills Books, 1999), p. 54.
(2) Williams and Gaskell, The Cosmic Computer (Inspiration Books, 1997.
(3) Carlo Suarès The Cipher of Genesis (York Beach, Maine: Samuel Weiser, Inc., 1992), p. 72.
(4) For more information on gematria see John Michell, The New View Over Atlantis (London: Thames & Hudson Ltd., 1983) and Gordon Strachan, Jesus the Master Builder: Druid Mysteries and the Dawn of Christianity. (Edinburgh: Floris Books, 1998).
(5) Plato, Timaeus, 17a.
(6) Strohmeier & Westbrook (1999), p. 66.
(7) John Michell, The Dimensions of Paradise: The Proportions and Symbolic Numbers of Ancient Cosmology (San Francisco: Harper & Row, 1988), pp. 66-67.
(8) Jonathan Shear, The Inner Dimension: Philosophy and the Experience of Consciousness (New York: Peter Lang, 1990), p. 12, n2.
(9) It is interesting note that the Greek word harmonia has a similar etymology to the Sanskrit yoga, viz. a joining together of opposite values.
(10) Strohmeier & Westbrook (1999), p. 66"

 

 

3
THE
33
15
6
6
COSMOS
84
21
3
9
Add to Reduce
117
36
9
-
Reduce to Deduce
1+1+7
3+6
-
9
Essence of Number
9
9
9

 

 

-
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
1
-
6
1
+
=
22
2+2
=
4
=
4
-
4
-
-
-
8
-
-
-
15
19
-
15
19
+
=
76
7+6
=
13
1+3
4
-
4
-
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
4
-
-
+
=
14
1+4
=
5
1+0
5
-
5
-
-
20
-
5
-
3
-
-
13
-
-
+
=
41
4+1
=
5
=
5
-
5
-
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
19
13
15
19
+
=
117
1+1+7
=
9
-
9
-
9
-
-
2
8
5
-
3
6
1
4
6
1
+
=
36
3+6
=
9
1+0
9
-
9
-
9
T
H
E
-
C
O
S
M
O
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
16
9
T
H
E
-
C
O
S
M
O
S
-
-
29
-
-
9
-
36
-
27
1+6
-
-
-
-
-
-
-
-
-
-
-
-
-
2+9
-
-
-
-
3+6
-
2+7
7
9
T
H
E
-
C
O
S
M
O
S
-
-
11
-
-
9
-
9
-
9
-
-
2
8
5
-
3
6
1
4
6
1
-
-
1+1
-
-
-
-
-
-
-
7
9
T
H
E
-
C
O
S
M
O
S
-
-
2
-
-
9
-
9
-
9

 

 

9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
1
-
6
1
+
=
22
2+2
=
4
=
4
-
4
-
-
8
-
-
-
15
19
-
15
19
+
=
76
7+6
=
13
1+3
4
-
4
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
4
-
-
+
=
14
1+4
=
5
1+0
5
-
5
-
20
-
5
-
3
-
-
13
-
-
+
=
41
4+1
=
5
=
5
-
5
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
19
13
15
19
+
=
117
1+1+7
=
9
-
9
-
9
-
2
8
5
-
3
6
1
4
6
1
+
=
36
3+6
=
9
1+0
9
-
9
9
T
H
E
-
C
O
S
M
O
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
--
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
--
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
T
H
E
-
C
O
S
M
O
S
-
-
29
-
-
9
-
36
-
27
-
-
-
-
-
-
-
-
-
-
-
-
-
2+9
-
-
-
-
3+6
-
2+7
9
T
H
E
-
C
O
S
M
O
S
-
-
11
-
-
9
-
9
-
9
-
2
8
5
-
3
6
1
4
6
1
-
-
1+1
-
-
-
-
-
-
-
9
T
H
E
-
C
O
S
M
O
S
-
-
2
-
-
9
-
9
-
9

 

 

-
5
A
T
O
M
S
-
-
-
-
-
--
-
-
-
-
-
-
6
-
1
+
=
7
-
=
7
=
7
-
-
-
-
15
-
19
+
=
34
3+4
=
7
=
7
-
5
A
T
O
M
S
-
-
-
-
-
--
-
-
-
-
1
2
-
4
-
+
=
7
-
=
7
=
7
-
-
1
20
-
13
-
+
=
34
3+4
=
7
=
7
-
5
A
T
O
M
S
-
-
-
-
-
--
-
-
-
-
1
20
15
13
19
+
=
68
6+8
=
14
1+4
5
-
-
1
2
6
4
1
+
=
14
1+4
=
5
=
5
-
5
A
T
O
M
S
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
1
occurs
x
2
=
2
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
32
5
A
T
O
M
S
-
-
13
-
-
5
-
14
3+2
-
-
-
-
-
-
-
-
1+3
-
-
-
-
1+4
5
5
A
T
O
M
S
-
-
4
-
-
5
-
5
-
-
1
2
6
4
1
-
-
-
-
-
-
-
-
5
5
A
T
O
M
S
-
-
4
-
-
5
-
5

 

 

5
A
T
O
M
S
-
-
-
-
-
--
-
-
-
-
-
6
-
1
+
=
7
-
=
7
=
7
-
-
-
15
-
19
+
=
34
3+4
=
7
=
7
5
A
T
O
M
S
-
-
-
-
-
--
-
-
-
1
2
-
4
-
+
=
7
-
=
7
=
7
-
1
20
-
13
-
+
=
34
3+4
=
7
=
7
5
A
T
O
M
S
-
-
-
-
-
--
-
-
-
1
20
15
13
19
+
=
68
6+8
=
14
1+4
5
-
1
2
6
4
1
+
=
14
1+4
=
5
=
5
5
A
T
O
M
S
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
1
occurs
x
2
=
2
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
5
A
T
O
M
S
-
-
13
-
-
5
-
14
-
-
-
-
-
-
-
-
1+3
-
-
-
-
1+4
5
A
T
O
M
S
-
-
4
-
-
5
-
5
-
1
2
6
4
1
-
-
-
-
-
-
-
-
5
A
T
O
M
S
-
-
4
-
-
5
-
5

 

 

-
4
A
T
O
M
-
-
-
-
-
--
-
-
-
-
-
-
6
-
+
=
6
-
=
6
=
6
-
-
-
-
15
-
+
=
15
1+5
=
6
=
6
-
4
A
T
O
M
-
-
-
-
-
--
-
-
-
-
1
2
-
4
+
=
7
-
=
7
=
7
-
-
1
20
-
13
+
=
34
3+4
=
7
=
7
-
4
A
T
O
M
-
-
-
-
-
--
-
-
-
-
1
20
15
13
+
=
49
4+9
=
13
1+3
4
-
-
1
2
6
4
+
=
13
1+3
=
4
=
4
-
4
A
T
O
M
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
9
NINE
9
-
-
-
32
4
A
T
O
M
-
-
13
-
-
4
-
13
3+2
-
-
-
-
-
-
-
1+3
-
-
-
-
1+3
5
4
A
T
O
M
-
-
4
-
-
4
-
4
-
-
1
2
6
4
-
-
-
-
-
-
-
-
5
4
A
T
O
M
-
-
4
-
-
4
-
4

 

 

-
4
A
T
O
M
-
-
-
-
-
--
-
-
-
-
-
-
6
-
+
=
6
-
=
6
=
6
-
-
-
-
15
-
+
=
15
1+5
=
6
=
6
-
4
A
T
O
M
-
-
-
-
-
--
-
-
-
-
1
2
-
4
+
=
7
-
=
7
=
7
-
-
1
20
-
13
+
=
34
3+4
=
7
=
7
-
4
A
T
O
M
-
-
-
-
-
--
-
-
-
-
1
20
15
13
+
=
49
4+9
=
13
1+3
4
-
-
1
2
6
4
+
=
13
1+3
=
4
=
4
-
4
A
T
O
M
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
9
NINE
9
-
-
-
32
4
A
T
O
M
-
-
13
-
-
4
-
13
3+2
-
-
-
-
-
-
-
1+3
-
-
-
-
1+3
5
4
A
T
O
M
-
-
4
-
-
4
-
4
-
-
1
2
6
4
-
-
-
-
-
-
-
-
5
4
A
T
O
M
-
-
4
-
-
4
-
4

 

THE ATOM THE

 

THE ATUM THE

 

6
A
T
U
M
-
-
-
-
-
--
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
1
2
3
4
+
=
10
1+0
=
1
=
1
6
A
T
U
M
-
-
-
-
-
--
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
1
2
3
4
+
=
10
1+0
=
1
=
1
6
A
T
U
M
-
-
-
-
-
--
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
1
2
3
4
+
=
10
1+0
=
1
=
1
6
A
T
U
M
-T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
2
-
-
-
-
2
occurs
x
1
=
2
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
-
-
4
-
-
4
occurs
x
1
=
4
6
A
T
U
M
-
-
10
-
-
4
-
10
-
1
2
3
4
-
-
1+0
-
-
-
Q
1+0
6
A
T
U
M
-
-
1
-
-
4
-
2

 

 

THE HERMETICA

THE LOST WISDOM OF THE PHARAOHS

Timothy Freke & Peter Gandy

To the Memory of Giordano Bruno 1548 - 1600

Mundus Nihil Pulcherrimum

The World is a Beautiful Nothing

Page 23

"Although we have used the familiar term 'God' in the explanatory notes which accompany each chapter, we have avoided this term in the text itself. Instead we have used 'Atum - one of the ancient Egyptian names for the Supreme One God."

 

Page 45

The Being of Atum

"Atum is Primal Mind."

 

Page 45

The Being of Atum

Give me your whole awareness, and concentrate your thoughts, for Knowledge of Atum's Being requires deep insight, which comes only as a gift of grace.

It is like a plunging torrent of water whose swiftness outstrips any man who strives to follow it, leaving behind not only the hearer, but even the teacher himself.

To conceive of Atum is difficult.

To define him is impossible.

The imperfect and impermanent cannot easily apprehend the eternally perfected.

Atum is whole and conconstant.

In himself he is motionless, yet he is self-moving.

He is immaculate, incorruptible and ever-lasting.

He is the Supreme Absolute Reality. He is filled with ideas which are imperceptible to the senses, and with all-embracing Knowledge.

Atum is Primal Mind.

Page 46

He is too great to be called by the name 'Atum'. He is hidden, yet obvious everywhere.

His Being is known through thought alone, yet we see his form before our eyes.

He is bodiless, yet embodied in everything. There is nothing which he is not. He has no name, because all names are his name. He is the unity in all things, so we must know him by all names and call everything 'Atum'.

He is the root and source of all. Everything has a source, except this source itself, which springs from nothing.

Atum is complete like the number one, which remains itself whether multiplied or divided, and yet generates all numbers.

Atum is the Whole which contains everything. He is One, not two.

He is All, not many.

The All is not many separate things, but the Oneness that subsumes the parts.

The All and the One are identical.

You think that things are many when you view them as separate, but when you see they all hang on the One, /Page 47/ and flow from the One, you will realise they are united­linked together, and connected by a chain of Being from the highest to the lowest, all subject to the will of Atum.

The Cosmos is one as the sun is one, the moon is one and the Earth is one.

Do you think there are many Gods? That's absurd - God is one.

Atum alone is the Creator of all that is immortal, and all that is mutable.

If that seems incredible, just consider yourself. You see, speak, hear, touch, taste, walk, think and breathe.

It is not a different you who does these various things, but one being who does them all.

To understand how Atum makes all things, consider a farmer sowing seeds; here wheat - there barley,
now planting a vine - then an apple tree.

Just as the same man plants all these seeds, so Atum sows immortality in heaven and change on Earth.

Throughout the Cosmos he disseminates Life and movement­the two great elements that comprise Atum and his creation, and so everything that is.

Page 48

Atum is called 'Father' because he begets all things, and, from his example, the wise hold begetting children the most sacred pursuit of human life. Atum works with Nature, within the laws of Necessity, causing extinction and renewal, constantly creating creation to display his wisdom.

Yet, the things that the eye can see are mere phantoms and illusions.

Only those things invisible to the eye are real. Above all are the ideas of Beauty and Goodness.

Just as the eye cannot see the Being of Atum, so it cannot see these great ideas.

They are attributes of Atum alone, and are inseparable from him.

They are so perfectly without blemish that Atum himself is in love with them.

There is nothing which Atum lacks, so nothing that he desires.

There is nothing that Atum can lose, so nothing can cause him grief. Atum is everything.

Atum makes everything, and everything is a part of Atum.

Atum, therefore, makes himself.

This is Atum's glory - he is all-creative, and this creating is his very Being.

It is impossible for him ever to stop creating­for Atum can never cease to be.

Page 49

Atum is everywhere.

Mind cannot be enclosed, because everything exists within Mind.

Nothing is so quick and powerful.

Just look at your own experience. Imagine yourself in any foreign land, and quick as your intention you will be there!

Think of the ocean - and there you are.

You have not moved as things move, but you have travelled, nevertheless.

Fly up into the heavens - you won't need wings!

Nothing can obstruct you - not the burning heat of the sun, or the swirling planets.

Pass on to the limits of creation. Do you want to break out beyond the boundaries of the Cosmos?

For your mind, even that is possible.

Can you sense what power you possess? If you can do all this, then what about your Creator?

Try and understand that Atum is Mind.

This is how he contains the Cosmos. All things are thoughts which the Creator thinks."

 

 

-
6
A
T
U
M
-
-
-
-
-
--
-
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
-
1
2
3
4
+
=
10
1+0
=
1
-
1
-
6
A
T
U
M
-
-
-
-
-
--
-
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
-
1
2
3
4
+
=
10
1+0
=
1
-
1
-
6
A
T
U
M
-
-
-
-
-
--
-
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
-
1
2
3
4
+
=
10
1+0
=
1
-
1
-
6
A
T
U
M
-T
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
6
-
-
-
-
-
-
-
6
SIX
6
-
-
-
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
9
NINE
9
-
-
-
35
6
A
T
U
M
-
-
10
-
-
4
-
10
3+5
-
1
2
3
4
-
-
1+0
-
-
-
Q
1+0
8
6
A
T
U
M
-
-
1
-
-
4
-
2

 

 

6
A
T
U
M
-
-
-
-
-
--
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
1
2
3
4
+
=
10
1+0
=
1
=
1
6
A
T
U
M
-
-
-
-
-
--
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
1
2
3
4
+
=
10
1+0
=
1
=
1
6
A
T
U
M
-
-
-
-
-
--
-
-
`-
1
20
21
13
+
=
55
5+5
=
10
1+0
1
-
1
2
3
4
+
=
10
1+0
=
1
=
1
6
A
T
U
M
-T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
2
-
-
-
-
2
occurs
x
1
=
2
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
-
-
4
-
-
4
occurs
x
1
=
4
6
A
T
U
M
-
-
10
-
-
4
-
10
-
1
2
3
4
-
-
1+0
-
-
-
Q
1+0
6
A
T
U
M
-
-
1
-
-
4
-
2

 

 

A
=
1
-
4
ATUM
-
-
-
-
-
-
-
-
A
1
1
1
-
-
-
-
-
T
20
2
2
-
-
-
-
-
U
21
3
3
-
-
-
-
-
M
13
4
4
A
=
1
-
4
ATUM
55
10
10
-
-
-
-
-
-
5+5
1+0
1+0
A
=
1
-
4
ATUM
10
1
1
-
-
-
-
-
-
1+0
-
-
A
=
1
-
4
ATUM
1
1
1

 

 

 

 

A
=
1
-
4
ATUM
-
-
-
-
-
-
-
-
A
1
1
1
-
-
-
-
-
T
20
2
2
-
-
-
-
-
U
21
3
3
-
-
-
-
-
M
13
4
4
A
=
1
-
4
ATUM
55
10
10
-
-
-
-
-
-
5+5
1+0
1+0
A
=
1
-
4
ATUM
10
1
1
-
-
-
-
-
-
1+0
-
-
A
=
1
-
4
ATUM
1
1
1

S
=
1
-
6
SOPHIA
-
-
-
-
-
-
-
-
S
19
10
1
-
-
-
-
-
O
15
6
6
-
-
-
-
-
P
16
7
7
-
-
-
-
-
H
8
8
8
-
-
-
-
-
I
9
9
9
-
-
-
-
-
A
1
1
1
S
=
1
-
6
SOPHIA
68
41
14
-
-
-
-
-
-
6+8
4+1
1+4
S
=
1
-
6
SOPHIA
14
5
5
-
-
-
-
-
-
1+4
-
-
S
=
1
-
6
SOPHIA
5
5
5

 

 

CIVILIZATION, SCIENCE AND RELIGION

A. D. RITCHIE 1945

THE ART OF THINKING

Page 38

"In the sphere of the natural sciences and of mathematics there have been endless disputes as to how much the Greeks borrowed from their neighbours, and the disputes are likely to continue, for the evidence is scanty and unreliable. It is safe to assume that the Greeks (noted then as now for commercial enterprise) took all they could get. Their own writers say as much, for they attribute the origin of very many useful inventions to other peoples. But this one thing, the scientific outlook and method, was not there to take; they had to invent it themselves. It is well to be clear on this point, for European civilization rests on three legs. They are Greek science, Jewish religion and Roman law. / Page 39 / Roman law may well be considered the Roman development of Greek scientific method. I will therefore deal with two examples in some little detail. These are taken from the sphere of mathematics and astronomy, for it was in these two sciences that the Greeks had their most outstanding success, doing about as much as could possibly be done under the conditions of their day and laying the foundations on which all subsequent work has been based.

The Egyptians knew of many useful methods of -geo- metrical calculation, for finding the area of a field, the volume of a barrel and so on. The Babylonians and earlier Mesopotamians had made accurate observations of sun, moon and stars over long periods and developed ingenious methods for calculating their future positions in the sky. In these arts of calculation these people had nothing to learn from the Greeks; it was the other way about. But there is no evidence that they ever dreamt of turning the art of calculation into the science of mathematics. Solving particular problems, however ingeniously, is not necessarily science any more than is playing chess (though all chess problems are geometrical) or keeping accounts (though all money reckoning is arithmetical). Mathematical science in the proper sense of the word attains its end by two means : (1) generalizing as far as is possible all problems and their solutions, so that one solution solves any number of particular cases; (2) finding proofs that solutions are correct as opposed to finding solutions which might be right by chance, not by necessity. The method used is the method of discussion in its specifically mathematical form.

The Egyptians could set out a right-angle on the ground, for building or for land surveying, by means of a cord knotted at intervals of 3, 4 and 5 units of length. They adjusted three pegs to make a triangle with the knots at the pegs when the cord was stretched tight round them. The Greeks, seeing this trick, generalized the problem and looked for a proof of the solution. The final result, after two centuries of effort, is the First Book of Euclid's Elements, leading up to Proposition 47—that the square on the hypotenuse of a right-angled triangle equals the sum of / Page 40 / the squares on the other sides, and that this must be so, granted the assumptions made at the beginning. (The proposition is further generalized in, Euclid VI, 31.) In this way a technical dodge of the land surveyor, depending upon the fact that 32+42= 52, was turned into science.

Page 38 Notes

1 Thucydides IV, 104—V, 26.
2 Hippocrates, Vol. ii, pp. 138 seq. Loeb Classical Library.

 

 

3
ONE
34
16
7
4
ZERO
64
28
1
5
EIGHT
49
31
4
12
First Total
147
75
12
1+2
Add to Reduce
1+4+7
7+5
1+2
3
Second Total
12
12
3
-
Reduce to Deduce
1+2
1+2
-
3
Essence of Number
3
3
3

 

 

9
EIGHTY ONE
108
54
9

 

 

-
EIGHTY ONE
-
-
-
1
E
5
5
5
1
I
9
9
9
2
G+H
15
15
6
2
T+Y
45
9
9
3
ONE
34
16
7
9
EIGHTY ONE
108
54
36
-
-
1+0+8
5+4
3+6
9
EIGHTY ONE
9
9
9

 

 

-
EIGHTY ONE
-
-
-
7
EIGHTYO
89
44
9
2
N+E
19
10
1
9
EIGHTY ONE
108
54
36
-
-
1+0+8
5+4
3+6
9
EIGHTY ONE
9
9
9

 

 

8
+
6
EIGHTY
74
38
2
1
+
3
ONE
34
16
7
9
-
9
Add to Reduce
108
54
9
-
-
-
Reduce to Deduce
1+0+8
5+4
-
9
+
9
Essence of Number
9
9
9

 

 

-
9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
+
6
5
-
+
=
28
2+8
=
10
1+0
1
=
1
-
-
-
9
-
8
-
-
-
15
14
-
+
=
46
4+6
=
10
1+0
1
=
1
-
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
5
-
7
-
2
7
+
-
-
5
+
=
26
2+6
=
8
=
8
=
8
-
-
5
-
7
-
20
25
+
-
-
5
+
=
62
6+2
=
8
=
8
=
8
-
9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
--
-
-
-
-
-
-
5
9
7
8
20
25
+
15
14
5
+
=
108
1+0+8
=
9
=
9
=
9
-
-
5
9
7
8
2
7
+
6
5
5
+
=
54
5+4
=
9
=
9
=
9
-
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
+
-
-
-
+
=
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
+
-
5
5
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
+
6
-
-
+
=
6
occurs
x
1
=
6
=
6
-
-
-
-
7
-
-
7
+
-
-
-
+
=
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
8
-
-
+
-
-
-
+
=
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
8
9
E
I
G
H
T
Y
+
O
N
E
+
+
37
-
-
9
-
54
-
36
-
-
5
-
-
-
-
-
+
-
5
5
-
-
3+7
-
-
-
-
5+4
-
3+6
8
-
E
I
G
H
T
Y
-
O
N
E
-
-
10
-
-
9
-
9
-
9
-
-
-
9
7
8
2
7
+
6
5
5
+
+
1+0
-
-
-
-
-
-
-
8
9
E
I
G
H
T
Y
+
O
N
E
+
+
2
-
-
9
-
9
-
9

 

 

9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
+
6
5
-
+
=
28
2+8
=
10
1+0
1
=
1
-
-
9
-
8
-
-
-
15
14
-
+
=
46
4+6
=
10
1+0
1
=
1
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
5
-
7
-
2
7
+
-
-
5
+
=
26
2+6
=
8
=
8
=
8
-
5
-
7
-
20
25
+
-
-
5
+
=
62
6+2
=
8
=
8
=
8
9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
--
-
-
-
-
-
5
9
7
8
20
25
+
15
14
5
+
=
108
1+0+8
=
9
=
9
=
9
-
5
9
7
8
2
7
+
6
5
5
+
=
54
5+4
=
9
=
9
=
9
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
-
-
-
-
-
+
-
-
-
-
2
-
+
-
-
-
+
=
2
occurs
x
1
=
2
=
2
+
5
-
-
-
-
-
+
-
5
5
+
=
5
occurs
x
3
=
15
1+5
6
+
-
-
-
-
-
-
+
6
-
-
+
=
6
occurs
x
1
=
6
=
6
+
-
-
7
-
-
7
+
-
-
-
+
=
7
occurs
x
2
=
14
1+4
5
+
-
-
-
8
-
-
+
-
-
-
+
=
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
9
E
I
G
H
T
Y
+
O
N
E
+
+
37
-
-
9
-
54
-
36
-
5
-
-
-
-
-
+
-
5
5
-
-
3+7
-
-
-
-
5+4
-
3+6
-
E
I
G
H
T
Y
-
O
N
E
-
-
10
-
-
9
-
9
-
9
-
-
9
7
8
2
7
+
6
5
5
+
+
1+0
-
-
-
-
-
-
-
9
E
I
G
H
T
Y
+
O
N
E
+
+
2
-
-
9
-
9
-
9

 

 

-
-
-
-
-
-
-
ONE TWO SIX
-
-
-
1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
58
13
4
6
-
S
=
1
-
3
SIX
52
16
7
9
-
-
-
9
-
9
ONE TWO SIX
144
45
18
-
-
-
-
-
-
-
-
1+4+4
4+5
1+8
9
-
-
-
9
-
9
ONE TWO SIX
9
9
9

 

 

-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
6
5
-
-
-
-
6
-
1
9
6
+
=
33
3+3
=
6
-
6
-
6
-
-
15
14
-
-
-
-
15
-
19
9
24
+
=
96
9+6
=
15
1+5
6
-
6
-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
-
2
5
-
-
-
-
-
+
=
12
1+2
=
3
-
3
-
3
-
-
-
-
5
-
20
23
-
-
-
-
-
+
=
48
4+8
=
12
1+2
3
-
4
-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
15
14
5
-
20
23
15
-
19
9
24
+
=
144
1+4+4
=
9
-
9
-
9
-
-
6
5
5
-
2
5
6
-
1
9
6
+
=
45
4+5
=
9
-
9
-
9
-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
-
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
5
5
-
-
5
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
6
-
-
-
-
-
6
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
-
9
22
9
O
N
E
-
T
W
O
-
S
I
X
-
-
23
-
-
9
-
73
-
28
2+2
-
6
-
-
-
-
-
6
-
-
-
6
-
-
2+3
-
-
-
-
7+3
-
2+8
4
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
10
-
10
-
-
6
5
5
-
2
5
6
-
1
9
6
-
-
-
-
-
-
-
1+0
-
1+0
4
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
1
-
1

 

 
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
6
5
-
-
-
-
6
-
1
9
6
+
=
33
3+3
=
6
-
6
-
6
-
15
14
-
-
-
-
15
-
19
9
24
+
=
96
9+6
=
15
1+5
6
-
6
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
2
5
-
-
-
-
-
+
=
12
1+2
=
3
-
3
-
3
-
-
-
5
-
20
23
-
-
-
-
-
+
=
48
4+8
=
12
1+2
3
-
4
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
15
14
5
-
20
23
15
-
19
9
24
+
=
144
1+4+4
=
9
-
9
-
9
-
6
5
5
-
2
5
6
-
1
9
6
+
=
45
4+5
=
9
-
9
-
9
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
-
2
-
-
5
5
-
-
5
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
6
-
-
-
-
-
6
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
-
9
9
O
N
E
-
T
W
O
-
S
I
X
-
-
23
-
-
9
-
73
-
28
-
6
-
-
-
-
-
6
-
-
-
6
-
-
2+3
-
-
-
-
7+3
-
2+8
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
10
-
10
-
6
5
5
-
2
5
6
-
1
9
6
-
-
-
-
-
-
-
1+0
-
1+0
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
1
-
1

 

 

3
-
5
THREE
56
29
2
4
-
4
FOUR
60
24
6
5
-
4
FIVE
42
24
6
12
-
13
First Total
158
77
9
1+2
-
1+3
Add to Reduce
1+5+8
7+7
2+3
12
-
13
Second Total
14
14
5
1+2
-
1+3
Reduce to Deduce
1+4
1+4
--
3
-
4
Essence of Number
5
5
5

 

 

T
=
2
-
5
THREE
56
29
2
-
3
F
=
6
-
4
FOUR
60
24
6
-
4
F
=
6
-
4
FIVE
42
24
6
-
5
-
-
14
-
13
First Total
158
77
9
-
12
-
-
1+4
-
1+3
Add to Reduce
1+5+8
7+7
2+3
-
1+2
-
-
5
-
4
Second Total
14
14
5
-
3
-
-
-
-
-
Reduce to Deduce
1+4
1+4
--
--
-
-
-
5
-
4
Essence of Number
5
5
5
-
3

 

 

-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
-
6
-
-
-
-
9
-
-
+
=
23
2+3
=
5
=
5
=
5
-
-
-
8
-
-
-
-
-
15
-
-
-
-
9
-
-
+
=
32
3+2
=
5
=
5
=
5
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
+
=
54
5+4
=
9
=
9
=
9
-
-`
20
-
18
5
5
-
6
-
21
18
-
6
-
22
5
+
=
126
1+2+6
=
9
=
9
=
9
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
20
8
18
5
5
-
6
6
21
18
-
6
9
22
5
+
=
158
8+6
=
5
=
5
=
5
-
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
+
=
77
4+1
=
14
1+4
5
=
5
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
8
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
37
-
-
13
-
77
-
41
-
1+3
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
3+7
-
-
1+3
-
7+7
-
4+1
8
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
10
-
-
4
-
14
-
5
-
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
-
1+0
-
-
-
-
1+4
-
-
8
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
1
-
-
4
-
5
-
5

 

 

-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
-
6
-
-
-
-
9
-
-
+
=
23
2+3
=
5
=
5
=
5
-
-
-
8
-
-
-
-
-
15
-
-
-
-
9
-
-
+
=
32
3+2
=
5
=
5
=
5
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
+
=
54
5+4
=
9
=
9
=
9
-
-`
20
-
18
5
5
-
6
-
21
18
-
6
-
22
5
+
=
126
1+2+6
=
9
=
9
=
9
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
20
8
18
5
5
-
6
6
21
18
-
6
9
22
5
+
=
158
8+6
=
5
=
5
=
5
-
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
+
=
77
4+1
=
14
1+4
5
=
5
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
8
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
37
-
-
13
-
77
-
41
-
1+3
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
3+7
-
-
1+3
-
7+7
-
4+1
8
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
10
-
-
4
-
14
-
5
-
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
-
1+0
-
-
-
-
1+4
-
-
8
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
1
-
-
4
-
5
-
5

 

 

I

ME

NUMBERS

EGYPT PYTHAGORAS EGYPT

THREE FOUR FIVE - FIVE FOUR THREE

PYTHAGORAS OUROBOROS PYTHAGORAS

 

 

-
8
T
R
I
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
-
5
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
9
-
14
-
-
-
+
=
23
2+3
=
5
=
5
=
5
-
8
T
R
I
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
2
9
-
1
-
7
3
5
+
=
27
2+7
=
9
=
9
=
9
-
-
20
18
-
1
-
7
12
5
+
=
63
6+3
=
9
=
9
=
9
-
8
T
R
I
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
20
18
9
1
14
7
12
5
+
=
86
8+6
=
14
1+4
5
=
5
-
-
2
9
9
1
5
7
3
5
+
=
41
4+1
=
5
=
5
=
5
-
8
T
R
I
A
N
G
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
18
8
T
R
I
A
N
G
L
E
-
-
27
-
-
8
-
41
-
23
1+8
-
-
9
9
-
-
-
-
-
-
-
2+7
-
-
-
-
4+1
-
2+3
9
8
T
R
I
A
N
G
L
E
-
-
9
-
-
8
-
5
-
5
-
-
2
9
9
1
5
7
3
5
-
-
-
-
-
-
-
-
-
-
9
8
T
R
I
A
N
G
L
E
-
-
9
-
-
8
-
5
-
5

 

 

8
T
R
I
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
5
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
-
9
-
14
-
-
-
+
=
23
2+3
=
5
=
5
=
5
8
T
R
I
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
2
9
-
1
-
7
3
5
+
=
27
2+7
=
9
=
9
=
9
-
20
18
-
1
-
7
12
5
+
=
63
6+3
=
9
=
9
=
9
8
T
R
I
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
20
18
9
1
14
7
12
5
+
=
86
8+6
=
14
1+4
5
=
5
-
2
9
9
1
5
7
3
5
+
=
41
4+1
=
5
=
5
=
5
8
T
R
I
A
N
G
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
9
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
8
T
R
I
A
N
G
L
E
-
-
27
-
-
8
-
41
-
23
-
-
9
9
-
-
-
-
-
-
-
2+7
-
-
-
-
4+1
-
2+3
8
T
R
I
A
N
G
L
E
-
-
9
-
-
8
-
5
-
5
-
2
9
9
1
5
7
3
5
-
-
-
-
-
-
-
-
-
-
8
T
R
I
A
N
G
L
E
-
-
9
-
-
8
-
5
-
5

 

 

T
=
2
-
8
TRIANGLE
86
41
5
P
=
7
-
7
PYRAMID
86
41
5

 

 

A
=
1
-
5
ANGLE
39
21
3
-
-
-
-
-
-
-
-
-
A
=
1
-
5
ANGEL
39
21
3

 

 

-
5
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
-
-
+
=
5
-
=
5
=
5
=
5
-
-
-
14
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
5
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
1
-
7
3
5
+
=
16
1+6
=
7
=
7
=
7
-
-
1
-
7
12
5
+
=
25
2+5
=
7
=
7
=
7
-
5
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
1
14
7
12
5
+
=
39
3+9
=
12
1+2
3
=
3
-
-
1
5
7
3
5
+
=
21
2+1
=
3
=
3
=
3
-
5
A
N
G
L
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
29
5
A
N
G
L
E
-
-
16
-
-
5
-
21
-
12
2+0
-
-
-
-
-
-
-
-
1+6
-
-
-
-
2+1
-
1+2
2
5
A
N
G
L
E
-
-
7
-
-
5
-
3
-
3
-
-
1
5
7
3
5
-
-
-
-
-
-
-
-
-
-
2
5
A
N
G
L
E
-
-
7
-
-
5
-
3
-
3

 

 

5
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
-
5
-
-
-
+
=
5
-
=
5
=
5
=
5
-
-
14
-
-
-
+
=
14
1+4
=
5
=
5
=
5
5
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
1
-
7
3
5
+
=
16
1+6
=
7
=
7
=
7
-
1
-
7
12
5
+
=
25
2+5
=
7
=
7
=
7
5
A
N
G
L
E
-
-
-
-
-
--
-
-
-
-
-
1
14
7
12
5
+
=
39
3+9
=
12
1+2
3
=
3
-
1
5
7
3
5
+
=
21
2+1
=
3
=
3
=
3
5
A
N
G
L
E
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
5
A
N
G
L
E
-
-
16
-
-
5
-
21
-
12
-
-
-
-
-
-
-
-
1+6
-
-
-
-
2+1
-
1+2
5
A
N
G
L
E
-
-
7
-
-
5
-
3
-
3
-
1
5
7
3
5
-
-
-
-
-
-
-
-
-
-
5
A
N
G
L
E
-
-
7
-
-
5
-
3
-
3

 

 

A
=
1
-
5
ANGLE
39
21
3
-
-
-
-
-
-
-
-
-
A
=
1
-
5
ANGEL
39
21
3

 

ANGEL AND ANGLE AND ANGLE AND ANGEL

 

-
5
A
N
G
E
L
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
-
-
+
=
5
-
=
5
=
5
=
5
-
-
-
14
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
5
A
N
G
E
L
-
-
-
-
-
--
-
-
-
-
-
-
1
-
7
5
3
+
=
16
1+6
=
7
=
7
=
7
-
-
1
-
7
5
12
+
=
25
2+5
=
7
=
7
=
7
-
5
A
N
G
E
L
-
-
-
-
-
--
-
-
-
-
-
-
1
14
7
5
12
+
=
39
3+9
=
12
1+2
3
=
3
-
-
1
5
7
5
3
+
=
21
2+1
=
3
=
3
=
3
-
5
A
N
G
E
L
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
5
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
29
5
A
N
G
E
L
-
-
16
-
-
5
-
21
-
12
2+0
-
-
-
-
-
-
-
-
1+6
-
-
-
-
2+1
-
1+2
2
5
A
N
G
E
L
-
-
7
-
-
5
-
3
-
3
-
-
1
5
7
5
3
-
-
-
-
-
-
-
-
-
-
2
5
A
N
G
E
L
-
-
7
-
-
5
-
3
-
3

 

 

ANGELS AND ANGLES ANGLES AND ANGELS

 

 

A
=
1
-
6
ANGELS
58
22
4
A
=
1
-
3
AND
19
10
1
A
=
1
-
6
ANGLES
58
22
4
-
-
3
-
15
Add to Reduce
135
54
9
-
-
-
-
1+5
Reduce to Deduce
1+3+5
5+4
-
Q
-
3
-
6
Essence of Number
9
9
9

 

 

-
15
A
N
G
E
L
S
-
A
N
D
-
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
1
---
-
5
-
---
-
5
-
-
-
1
+
=
17
1+7
=
8
=
8
=
8
-
-
-
14
-
-
-
19
---
-
14
-
---
-
14
-
-
-
19
+
=
80
8+0
=
8
=
8
=
8
-
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
7
5
3
-
--
1
-
4
--
1
-
7
3
5
-
+
=
37
3+7
=
10
1+0
1
=
1
-
-
1
-
7
5
12
-
--
1
-
4
--
1
-
7
12
5
-
+
=
55
5+5
=
10
1+0
1
=
1
-
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
-
1
14
7
5
12
19
--
1
14
4
--
1
14
7
12
5
19
+
=
135
1+3+5
=
9
=
9
=
9
-
-
1
5
7
5
3
1
--
1
5
4
--
1
5
7
3
5
1
+
=
54
5+4
=
9
=
9
=
9
-
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
--
1
-
-
--
1
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
2
-
-
-
-
-
-
-
--
-
-
-
--
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
3
-
--
-
-
-
--
-
-
-
3
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
--
-
-
4
--
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
5
-
-
--
-
5
-
--
-
5
-
-
5
-
-
-
5
occurs
x
5
=
25
2+5
7
6
-
-
-
-
-
-
-
--
-
-
-
--
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
7
-
-
-
--
-
-
-
--
-
-
7
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
---
-
-
-
---
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
--
-
-
-
--
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
-
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
--
-
-
-
-
--
-
-
-
-
1
-
-
-
-
1
--
1
-
-
--
1
-
-
-
-
1
-
-
--
-
-
-
-
--
-
-
-
-
-
5
-
5
-
-
--
-
5
-
--
-
5
-
-
5
-
-
-
--
-
-
-
-
--
-
-
25
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
20
-
-
15
-
54
-
27
2+5
1+5
1
5
7
5
3
1
---
1
5
4
---
1
5
7
3
5
1
-
-
2+0
-
-
1+5
-
5+4
-
2+7
7
6
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
2
-
-
6
-
9
-
9

 

 

5
A
N
G
E
L
S
-
A
N
D
-
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
1
---
-
5
-
---
-
5
-
-
-
1
+
=
17
1+7
=
8
=
8
=
8
-
-
14
-
-
-
19
---
-
14
-
---
-
14
-
-
-
19
+
=
80
8+0
=
8
=
8
=
8
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
1
-
7
5
3
-
--
1
-
4
--
1
-
7
3
5
-
+
=
37
3+7
=
10
1+0
1
=
1
-
1
-
7
5
12
-
--
1
-
4
--
1
-
7
12
5
-
+
=
55
5+5
=
10
1+0
1
=
1
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
1
14
7
5
12
19
--
1
14
4
--
1
14
7
12
5
19
+
=
135
1+3+5
=
9
=
9
=
9
-
1
5
7
5
3
1
--
1
5
4
--
1
5
7
3
5
1
+
=
54
5+4
=
9
=
9
=
9
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
--
1
-
-
--
1
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
-
-
-
-
-
3
-
--
-
-
-
--
-
-
-
3
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
--
-
-
4
--
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
5
-
-
--
-
5
-
--
-
5
-
-
5
-
-
-
5
occurs
x
5
=
25
2+5
7
-
-
-
7
-
-
-
--
-
-
-
--
-
-
7
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
--
-
-
-
-
--
-
-
-
1
-
-
-
-
1
--
1
-
-
--
1
-
-
-
-
1
-
-
--
-
-
-
-
--
-
-
-
-
5
-
5
-
-
--
-
5
-
--
-
5
-
-
5
-
-
-
--
-
-
-
-
--
-
-
15
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
20
-
-
15
-
54
-
27
1+5
1
5
7
5
3
1
---
1
5
4
---
1
5
7
3
5
1
-
-
2+0
-
-
1+5
-
5+4
-
2+7
6
A
N
G
E
L
S
--
A
N
D
--
A
N
G
L
E
S
-
-
2
-
-
6
-
9
-
9

 

 

THREE ANGLES THREE ANGELS THREE ANGELS THREE ANGLES

TRY ANGLES ANGELS O ANGELS TRY ANGLES

 

 

THREE FOUR FIVE FIVE FOUR THREE

 

PYTHAGORAS 7728176911 PYTHAGORAS

NUMBERS REARRANGED IN NUMERICAL ORDER

1112 - 6789

PYTHAGORAS 7728176911 PYTHAGORAS

 

PYTHAGORAS THE MISSING NUMBERS IN THE NAME PYTHAGORAS

3 4 5

PYTHAGORAS THE MISSING NUMBERS PYTHAGORAS

 

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

One of the most famous triangles is the 345 triangle. It is also known as Egyptian Triangle. Mystically, the upright side, the perpendicular, is likened to the male; the base to the female and the hypotenuse to the child of both.The 345 Triangle – Symbolism of Mathematics
mathsymbolism.wordpress.com/2019/10/11/the-345-triangle/In other words, a 3-4-5 triangle has the ratio of the sides in whole numbers called Pythagorean Triples. This ratio can be given as: Side 1: Side 2: Hypotenuse = 3n: 4n: 5n = 3: 4: 5 We can prove this by using the Pythagorean Theorem as follows:

https://robertedwardgrant.com/the-3-4-5-pythagorean-triangle-is...
Feedback
The 3-4-5 Pythagorean Triangle is... - Robert Edward …
https://www.facebook.com/robertedwardgrant/posts/1722870857921833
The 3-4-5 Pythagorean Triangle is inherent to the Flower of Life.....AND it is the PRECISE foundational geometry upon which the Giza Plateau's Center Pyramid ("Khafre": the Dynastic …

The numbers 3, 4, and 5 are called Pythagorean triples since…
https://www.justanswer.com/math-homework/2zz8n-numbers-3-4-called...
12/01/2010 · The numbers 5, 12, and 13 are also Pythagorean triples since 5^2+12^2=13^2. Can you find any other Pythagorean triples? Actually there is a set of formulas that will generate an …

From
mathworld.wolfram.com
3, 4, 5 Triangle -- from Wolfram MathWorld
The triangle with edge lengths 3, 4, and 5 is the right triangle with smallest possible integer lengths and corresponds to the Pythagorean triple (3,4,5) where the legs have lengths 3 and 4 and the hypotenuse length 5. It satisfies the Pythagorean theorem since 3^2+4^2=5^2. (1) It has inradius r=1. (2) Triangle line picking for points picked at random in a 3, 4, 5 triangle gives a mean line segment length of l^__(Delta(3,4,5)) = 1/(22500)(20460+9728ln2+5103ln3) (3)…

 

 

THE GROWTH OF SCIENCE

A.P. Rossiter 1939

Page 15

"The Egyptians,…" "…made good observations on the stars and were able to say when the sun or moon would become dark in an eclipse (a most surprising event even in our times), and when the land would be covered by the waters of the Nile: they were expert at building and made some discoveries about the relations of lines and angles - among them one very old rule for getting a right-angle by stretching out knotted cords with 5, 4 And 3 units between the knots."

 

"...among them one very old rule for getting a right-angle by stretching out knotted cords with

5, 4 And 3 units between the knots."

 

 

-
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
1
+
=
7
-
=
7
=
7
=
7
-
-
-
-
-
-
-
-
15
-
-
19
+
=
34
3+4
=
7
=
7
=
7
-
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
-
7
7
2
8
1
7
-
9
1
-
+
=
42
4+2
=
6
=
6
=
6
-
-
16
25
20
8
1
7
-
18
1
-
+
=
96
9+6
=
15
1+5
6
=
6
-
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
-
16
25
20
8
1
7
15
18
1
19
+
=
130
1+3
=
4
=
4
=
4
-
-
7
7
2
8
1
7
6
9
1
1
+
=
49
4+9
=
13
1+3
4
=
4
-
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
7
7
-
-
-
7
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
9
=
9
12
8
P
Y
T
H
A
G
O
R
A
S
-
-
33
-
-
8
-
49
-
31
1+2
-
-
-
-
-
-
-
-
9
-
-
-
-
3+3
-
-
-
-
4+9
-
3+1
3
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
13
-
4
-
-
7
7
2
8
1
7
6
9
1
1
-
-
-
-
-
-
-
1+3
-
-
3
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
4
-
4

 

 

8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
1
+
=
7
-
=
7
=
7
=
7
-
-
-
-
-
-
-
15
-
-
19
+
=
34
3+4
=
7
=
7
=
7
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
7
7
2
8
1
7
-
9
1
-
+
=
42
4+2
=
6
=
6
=
6
-
16
25
20
8
1
7
-
18
1
-
+
=
96
9+6
=
15
1+5
6
=
6
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
16
25
20
8
1
7
15
18
1
19
+
=
130
1+3
=
4
=
4
=
4
-
7
7
2
8
1
7
6
9
1
1
+
=
49
4+9
=
13
1+3
4
=
4
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
1
occurs
x
3
=
3
=
3
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
7
7
-
-
-
7
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
9
=
9
8
P
Y
T
H
A
G
O
R
A
S
-
-
33
-
-
8
-
49
-
31
-
-
-
-
-
-
-
-
9
-
-
-
-
3+3
-
-
-
-
4+9
-
3+1
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
13
-
4
-
7
7
2
8
1
7
6
9
1
1
-
-
-
-
-
-
-
1+3
-
-
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
4
-
4

 

 

19
PYTHAGORAS OURABORUS
-
-
-
-
P
16
7
7
-
Y+T
45
9
9
-
H+A
9
9
9
-
G+O
22
13
4
-
R
18
9
9
-
A+S
20
2
2
-
O+U
36
9
9
-
R
18
9
9
-
A+B+O
18
9
9
-
R
18
9
9
-
U+S
40
4
4
19
PYTHAGORAS OURABORUS
-
-
-

 

 

10
PYTHAGORAS
130
49
4
3
AND
19
10
1
9
OURABORUS
130
40
4

 

 

9
PYTHAGORAS
-
-
-
-
P
16
7
7
1
Y+T
45
9
9
-
H+A
9
9
9
-
G+O
22
13
4
1
R
18
9
9
-
A+S
20
2
2
9
PYTHAGORAS
130
49
40
-
-
1+3+0
4+9
4+0
9
PYTHAGORAS
4
13
4
-
-
-
1+3
-
9
PYTHAGORAS
4
4
4

 

 

-
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
1
-
-
8
-
6
-
-
-
+
=
29
2+9
=
11
=
2
=
2
-
-
-
-
-
-
-
-
15
-
-
19
-
-
8
-
15
-
-
-
+
=
65
6+5
=
11
1+1
2
=
2
-
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
7
7
2
8
1
7
-
9
1
-
-
2
-
5
-
9
5
4
+
=
59
5+9
=
14
1+4
5
=
5
-
-
16
25
20
8
1
7
-
18
1
-
-
20
-
5
-
18
5
13
+
=
149
1+4+9
=
14
1+4
5
=
5
-
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
16
25
20
8
1
7
15
18
1
19
-
20
8
5
15
18
5
13
+
=
214
2+1+4
=
7
=
7
=
7
-
-
7
7
2
8
1
7
6
9
1
1
-
2
8
5
6
9
5
4
+
=
88
8+8
=
16
1+6
7
=
7
-
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
=
1
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
3
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
42
-
-
17
-
88
-
34
-
1+7
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
4+2
-
-
1+7
-
8+8
-
3+4
3
8
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
6
-
-
8
-
16
-
7
-
-
7
7
2
8
1
7
6
9
1
1
-
2
8
5
6
9
5
4
-
-
-
-
-
-
-
1+6
-
-
3
8
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
6
-
-
8
-
7
-
7

 

 

17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
1
-
-
8
-
6
-
-
-
+
=
29
2+9
=
11
=
2
=
2
-
-
-
-
-
-
-
15
-
-
19
-
-
8
-
15
-
-
-
+
=
65
6+5
=
11
1+1
2
=
2
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
7
7
2
8
1
7
-
9
1
-
-
2
-
5
-
9
5
4
+
=
59
5+9
=
14
1+4
5
=
5
-
16
25
20
8
1
7
-
18
1
-
-
20
-
5
-
18
5
13
+
=
149
1+4+9
=
14
1+4
5
=
5
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
16
25
20
8
1
7
15
18
1
19
-
20
8
5
15
18
5
13
+
=
214
2+1+4
=
7
=
7
=
7
-
7
7
2
8
1
7
6
9
1
1
-
2
8
5
6
9
5
4
+
=
88
8+8
=
16
1+6
7
=
7
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
=
1
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
17
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
42
-
-
17
-
88
-
34
1+7
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
4+2
-
-
1+7
-
8+8
-
3+4
8
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
6
-
-
8
-
16
-
7
-
7
7
2
8
1
7
6
9
1
1
-
2
8
5
6
9
5
4
-
-
-
-
-
-
-
1+6
-
-
8
P
Y
T
H
A
G
O
R
A
S
-
T
H
E
O
R
E
M
-
-
6
-
-
8
-
7
-
7

 

 

17
P
Y
T
H
A
G
O
R
A
S
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
1
-
8
-
6
-
-
-
+
=
29
2+9
=
11
=
2
=
2
-
-
-
-
-
-
-
15
-
-
19
-
8
-
15
-
-
-
+
=
65
6+5
=
11
1+1
2
=
2
17
P
Y
T
H
A
G
O
R
A
S
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
7
7
2
8
1
7
-
9
1
-
2
-
5
-
9
5
4
+
=
59
5+9
=
14
1+4
5
=
5
-
16
25
20
8
1
7
-
18
1
-
20
-
5
-
18
5
13
+
=
149
1+4+9
=
14
1+4
5
=
5
17
P
Y
T
H
A
G
O
R
A
S
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
16
25
20
8
1
7
15
18
1
19
20
8
5
15
18
5
13
+
=
214
2+1+4
=
7
=
7
=
7
-
7
7
2
8
1
7
6
9
1
1
2
8
5
6
9
5
4
+
=
88
8+8
=
16
1+6
7
=
7
17
P
Y
T
H
A
G
O
R
A
S
T
H
E
O
R
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
-
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
=
1
-
-
-
-
-
-
-
6
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
17
P
Y
T
H
A
G
O
R
A
S
T
H
E
O
R
E
M
-
-
42
-
-
17
-
88
-
34
1+7
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
4+2
-
-
1+7
-
8+8
-
3+4
8
P
Y
T
H
A
G
O
R
A
S
T
H
E
O
R
E
M
-
-
6
-
-
8
-
16
-
7
-
7
7
2
8
1
7
6
9
1
1
2
8
5
6
9
5
4
-
-
-
-
-
-
-
1+6
-
-
8
P
Y
T
H
A
G
O
R
A
S
T
H
E
O
R
E
M
-
-
6
-
-
8
-
7
-
7

 

 

THE GROWTH OF SCIENCE

A.P. Rossiter 1939

Page 15

"The Egyptians,…" "…made good observations on the stars and were able to say when the sun or moon would become dark in an eclipse (a most surprising event even in our times), and when the land would be covered by the waters of the Nile: they were expert at building and made some discoveries about the relations of lines and angles - among them one very old rule for getting a right-angle by stretching out knotted cords with 5, 4 And 3 units between the knots."

 

"...among them one very old rule for getting a right-angle by stretching out knotted cords with

5, 4 And 3 units between the knots."

 

 

CIVILIZATION, SCIENCE AND RELIGION

A. D. RITCHIE 1945

THE ART OF THINKING

Page 39

"The Egyptians could set out a right-angle on the ground,

for building or for land surveying,

by means of a cord knotted at intervals of

3, 4 and 5 units of length."

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
-
1
P
16
7
7
-
-
-
3
4
5
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
4
5
-
7
-
-
T
=
2
-
1
T
20
2
2
-
-
2
3
4
5
-
-
-
-
H
=
8
-
1
H
8
8
8
-
-
-
3
4
5
-
-
8
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
G
=
7
-
1
G
7
7
7
-
-
-
3
4
5
-
7
-
-
O
=
6
-
1
O
15
6
6
-
-
-
3
4
5
6
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
3
4
5
-
-
-
9
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
3
4
5
-
-
-
-
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
3
4
5
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
3
4
5
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
3
4
5
6
3
8
9

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
6
7
8
9
P
=
7
-
1
P
16
7
7
-
-
-
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
-
7
-
-
T
=
2
-
1
T
20
2
2
-
-
2
-
-
-
-
H
=
8
-
1
H
8
8
8
-
-
-
-
-
8
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
-
O
=
6
-
1
O
15
6
6
-
-
-
6
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
9
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
6
3
8
9

 

 

-
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
+
=
15
1+5
=
6
=
6
=
6
-
-
-
-
-
8
-
-
15
-
-
19
+
=
42
4+2
=
6
=
6
=
6
-
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
+
=
34
3+4
=
7
=
7
=
7
-
`-
16
25
20
-
1
7
-
18
1
-
+
=
88
8+8
=
16
1+6
7
=
7
-
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
+
=
 130
1+3
=
18
1+8
4
=
4
-
-
7
7
2
8
1
7
6
9
1
1
+
=
49
4+9
=
13
1+3
4
=
4
-
8
P
Y
T
H
A
G
O
R
A
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
2
-
-
-
-
-
-
-
--
--
2
occurs
x
1
=
2
=
2
3
--
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
--
--
5
FIVE
5
-
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
--
7
7
-
-
-
7
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
9
=
9
12
8
P
Y
T
H
A
G
O
R
A
S
-
-
33
-
-
8
-
49
-
31
1+3
-
-
-
-
-
-
-
-
9
-
-
-
-
3+3
-
-
-
-
4+9
-
3+1
3
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
13
-
4
-
-
7
7
2
8
1
7
6
9
1
1
-
-
-
-
-
-
-
1+3
-
-
3
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
4
-
4

 

 

8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
+
=
15
1+5
=
6
=
6
=
6
-
-
-
-
8
-
-
15
-
-
19
+
=
42
4+2
=
6
=
6
=
6
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
--
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
+
=
34
3+4
=
7
=
7
=
7
`-
16
25
20
-
1
7
-
18
1
-
+
=
88
8+8
=
16
1+6
7
=
7
8
P
Y
T
H
A
G
O
R
A
S
-
-
-
-
-
--
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
+
=
 130
1+3
=
18
1+8
4
=
4
-
7
7
2
8
1
7
6
9
1
1
+
=
49
4+9
=
13
1+3
4
=
4
8
P
Y
T
H
A
G
O
R
A
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
1
occurs
x
3
=
3
=
3
-
-
-
2
-
-
-
-
-
-
-
--
--
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
--
7
7
-
-
-
7
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
9
=
9
8
P
Y
T
H
A
G
O
R
A
S
-
-
33
-
-
8
-
49
-
31
-
-
-
-
-
-
-
-
9
-
-
-
-
3+3
-
-
-
-
4+9
-
3+1
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
13
-
4
-
7
7
2
8
1
7
6
9
1
1
-
-
-
-
-
-
-
1+3
-
-
8
P
Y
T
H
A
G
O
R
A
S
-
-
6
-
-
8
-
4
-
4

 

 

THE GROWTH OF SCIENCE

A.P.Rossiter 1939

Page 15

"The Egyptians,…" "…made good observations on the stars and were able to say when the sun or moon would become dark in an eclipse (a most surprising event even in our times), and when the land would be covered by the waters of the Nile: they were expert at building and made some discoveries about the relations of lines and angles - among them one very old rule for getting a right-angle by stretching out knotted cords with 5, 4 And 3 units between the knots."

"...among them one very old rule for getting a right-angle by stretching out knotted cords with

5, 4 And 3 units between the knots."

 

 

CIVILIZATION, SCIENCE AND RELIGION

A. D. RITCHIE 1945

THE ART OF THINKING

Page 39

"The Egyptians could set out a right-angle on the ground,

for building or for land surveying,

by means of a cord knotted at intervals of

3, 4 and 5 units of length."

 

3
-
5
THREE
56
29
2
4
-
4
FOUR
60
24
6
5
-
4
FIVE
42
24
6
12
-
13
First Total
158
77
14
1+2
-
1+3
Add to Reduce
1+5+8
7+7
1+4
3
-
4
Second Total
14
14
5
-
-
-
Reduce to Deduce
1+4
1+4
--
3
-
4
Essence of Number
5
5
5

 

 

3
-
T
=
2
-
5
THREE
56
29
2
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
42
24
6
12
-
-
-
14
-
13
First Total
158
77
14
1+2
-
-
-
1+4
-
1+3
Add to Reduce
1+5+8
7+7
1+4
12
-
-
-
5
-
4
Second Total
14
14
5
-
-
-
-
-
-
-
Reduce to Deduce
1+4
1+4
--
3
-
-
-
5
-
4
Essence of Number
5
5
5

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
-
1
P
16
7
7
-
-
-
3
4
5
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
4
5
-
7
-
-
T
=
2
-
1
T
20
2
2
-
-
2
3
4
5
-
-
-
-
H
=
8
-
1
H
8
8
8
-
-
-
3
4
5
-
-
8
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
G
=
7
-
1
G
7
7
7
-
-
-
3
4
5
-
7
-
-
O
=
6
-
1
O
15
6
6
-
-
-
3
4
5
6
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
3
4
5
-
-
-
9
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
3
4
5
-
-
-
-
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
3
4
5
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
3
4
5
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
3
4
5
6
3
8
9

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
3
4
5
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
3
4
5
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
3
4
5
6
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
3
4
5
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
4
5
-
7
-
-
G
=
7
-
1
G
7
7
7
-
-
-
3
4
5
-
7
-
-
H
=
8
-
1
H
8
8
8
-
-
-
3
4
5
-
-
8
-
R
=
9
-
1
R
18
9
9
-
-
-
3
4
5
-
-
-
9
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
3
4
5
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
3
4
5
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
3
4
5
6
3
8
9

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
6
7
8
9
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
6
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
-
7
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
-
H
=
8
-
1
H
8
8
8
-
-
-
-
-
8
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
9
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
6
3
8
9

 

 

THE GROWTH OF SCIENCE

A.P.Rossiter 1939

Page 15

"The Egyptians,…" "…made good observations on the stars and were able to say when the sun or moon would become dark in an eclipse (a most surprising event even in our times), and when the land would be covered by the waters of the Nile: they were expert at building and made some discoveries about the relations of lines and angles - among them one very old rule for getting a right-angle by stretching out knotted cords with 5, 4 And 3 units between the knots."

"...among them one very old rule for getting a right-angle by stretching out knotted cords with

5, 4 And 3 units between the knots."

 

 

CIVILIZATION, SCIENCE AND RELIGION

A. D. RITCHIE 1945

THE ART OF THINKING

Page 39

"The Egyptians could set out a right-angle on the ground,

for building or for land surveying,

by means of a cord knotted at intervals of

3, 4 and 5 units of length."

 

3
-
5
THREE
56
29
2
4
-
4
FOUR
60
24
6
5
-
4
FIVE
42
24
6
12
-
13
First Total
158
77
14
1+2
-
1+3
Add to Reduce
1+5+8
7+7
1+4
3
-
4
Second Total
14
14
5
-
-
-
Reduce to Deduce
1+4
1+4
--
3
-
4
Essence of Number
5
5
5

 

 

3
-
T
=
2
-
5
THREE
56
29
2
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
42
24
6
12
-
-
-
14
-
13
First Total
158
77
14
1+2
-
-
-
1+4
-
1+3
Add to Reduce
1+5+8
7+7
1+4
12
-
-
-
5
-
4
Second Total
14
14
5
-
-
-
-
-
-
-
Reduce to Deduce
1+4
1+4
--
3
-
-
-
5
-
4
Essence of Number
5
5
5

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
3
4
5
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
4
5
-
7
-
-
T
=
2
-
1
T
20
2
2
-
-
2
3
4
5
-
-
-
-
H
=
8
-
1
H
8
8
8
-
-
-
3
4
5
-
-
8
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
G
=
7
-
1
G
7
7
7
-
-
-
3
4
5
-
7
-
-
O
=
6
-
1
O
15
6
6
-
-
-
3
4
5
6
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
3
4
5
-
-
-
9
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
3
4
5
-
-
-
-
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
3
4
5
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
3
4
5
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
3
4
5
6
3
8
9

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
3
4
5
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
3
4
5
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
3
4
5
6
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
3
4
5
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
4
5
-
7
-
-
G
=
7
-
1
G
7
7
7
-
-
-
3
4
5
-
7
-
-
H
=
8
-
1
H
8
8
8
-
-
-
3
4
5
-
-
8
-
R
=
9
-
1
R
18
9
9
-
-
-
3
4
5
-
-
-
9
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
3
4
5
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
3
4
5
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
3
4
5
6
3
8
9

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
6
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
-
7
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
-
H
=
8
-
1
H
8
8
8
-
-
-
-
-
8
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
9
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
6
3
8
9

 

3 4 5

PYTHAGORAS

THE MISSING NUMBERS IN THE WORD

PYTHAGORAS

3 4 5

 

A BRIEF HISTORY OF INFINITY

"The Quest to Think the Unthinkable

Brian Clegg 2003

Page 66

"When dealing with such ratios, they would know that there was a clear relationship in terms of a full unit - so, for instance, in the famous right angled triangle of Pythagoras' theorem, they would think of of the longest side being 5 units long when the other side were 3 and 4..."

 

Pythagorean Triangles and Triples Jump to The 3-4-5 Triangle‎: 3 4 5 on graph paper But all Pythagorean triangles are even easier to draw on squared paper because all their sides are ... www.mcs.surrey.ac.uk/Personal/R.Knott/Pythag/pythag.html - Cached - Similar

 

-3:4:5 triangle definition - Math Open Reference - Sep 23
You could of course use any dimensions you like, and then use Pythagoras' theorem to see if it is a right triangle. But the numbers 3,4,5 are easy to ...
www.mathopenref.com/triangle345.html - Cached - Similar

 

-The Pythagorean Theorem and the Maya Long Count Various ancient cultures based some of their artwork on the 3-4-5 right triangle, frequently referred to by geometrists as a perfect triangle. Pythagoras is ... www.earthmatrix.com/pythagoras.html - Cached - Similar

 

-Our Ancient Friend and Brother, the Great Pythagoras The evidence that the particular triangle alluded to in the Monitor is the 3,4,5 right triangle can be derived from the odd comments about Pythagoras' ... www.sricf-ca.org/paper1.htm - Similar

 

-The 3-4-5 Rule is the Pythagorean Theorem: Set Control Lines for ... The Pythagorean theorem is the basis for the 3-4-5 rule. This simple math equation is a carpenter's tool used to find or verify the squareness of a room or ...
homerenorepair.suite101.com/.../the_345_rule_is_the_pythagorean_theorem - Cached - Similar

3 4 5

PYTHAGORAS

THE MISSING NUMBERS IN THE WORD

PYTHAGORAS

3 4 5

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
3
4
5
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
3
4
5
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
3
4
5
6
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
3
4
5
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
4
5
-
7
-
-
G
=
7
-
1
G
7
7
7
-
-
-
3
4
5
-
7
-
-
H
=
8
-
1
H
8
8
8
-
-
-
3
4
5
-
-
8
-
R
=
9
-
1
R
18
9
9
-
-
-
3
4
5
-
-
-
9
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
3
4
5
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
3
4
5
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
3
4
5
6
3
8
9

 

 

A

SERPENT I PRESENT

 

9
OURABORUS
130
31
4
10
PYTHAGORAS
130
49
4
6
PYTHIA
79
34
7
6
PYTHON
98
35
8
7
PYTHONS
117
36
9
5
EGYPT
73
28
1
8
EGYPTIAN
97
43
7

 

EGYPT 57772 EGYPT

5+2 = 7 - 7 = 5+2

EGYPT 57772 EGYPT

 

10
PYTHAGORAS
130
49
4
-
-
-
-
-
-
-
-
-
-
10
PYTHAGORAS
130
49
4
5
EGYPT
73
28
1
1
E
5
5
5
4
PYTG
68
23
5
5
EGYPT
73
28
1

 

 

dic Astrology and Numerology, ROHIT KR RAO

www.rohitkrrao.com/numerology.html‎

The history of numbers is as old as the recorded history of man. Numerology was in use in ancient Greece, Rome, Egypt, China and India and is to be found in ...

What are the Numbers?

The most familiar form of numbers are natural numbers 0, 1, 2, 3, 4 5, 6, 7, 8, 9.

The numbers 1 to 9 can be called as unit numbers and the numbers from 10 onwards (up to 99) can be called as double-digit numbers which denotes the fusion of two numbers however these can still be reduced to unit numbers, eg; 24 (2+4=6) is reduced to 6. Then, there are Master Numbers such as 11, 22, 33, 44 and so on which are never reduced to a unit number as they carry their own intensified vibration and potency.

Every number expresses its qualities in the form of strengths and challenges. Therefore, no number is good or bad, lucky or unlucky and auspicious or inauspicious as each and every number is equally necessary and important, and each gives strength to the next one and takes what it needs from the one before. Numbers have two aspects viz; exoteric or external and esoteric or inner. In a nut shell, every number possesses its own unique quality and power.

Our ancient seers believed that numbers symbolize divinity and however our mathematicians believed that study of numbers can possibly reveal the principles of creation and laws of time & space. Numbers can be seen as fundamental in art, poetry, architecture, music, and so on.

“The World is built upon the power of Numbers” ...Pythagoras – 6th century BC.


What is Numerology?

The word Numerology comes from the Latin word "Numerus," which means number, and the Greek word "Logos," which means word, thought, and expression.

Numerology, based upon the sacred science of numbers, is an advanced offshoot of the melodious rhythm of the mathematical precision that controls all creation. It influences every aspect of our life unconsciously or consciously whether we are aware of this or not.

Numerology is the science and philosophy of numbers (1 to 9) where each numbers has its own strength, potential and challenge. The whole idea behind this is to know the hidden expression contained in these numbers so as to understand their relationship and progression in our numerology chart. This can help us in knowing the difficulties we may have experienced in the past or under present circumstances and then working towards doing some inner work in our life for bringing harmony, peace and joy.
The belief in Numerology is easier to understand when we put it into a context with realizing how the entire world revolves around numbers and mathematical equations.

 

What is the origin and history of Numerology? top

The history of numbers is as old as the recorded history of man. Numerology was in use in ancient Greece, Rome, Egypt, China and India and is to be found in the ancient books of wisdom, such as the Hebrew Kabala. Most commonly used system for Numerology were developed by the Chaldeans, the Hindus, the Mayans, the Hebrews (Kabala), the Chinese (Book of Changes), and the work of Pythagoras, to name a few. The basic intent behind these systems originally was to understand the relationship between man and his god.

Pythagoras, the old master philosopher and mathematician, who lived in the sixth century BC, propounded the theory that nothing in the universe could exist without numbers. He established a Mystery School in Italy when he was 52 years old. He was born in Greece and lived between 582 and 507 BC, much of his life spent in study and travel. His Mystery School taught esoteric knowledge, which included the secret of number and vibration. The knowledge was passed down by word of mouth and a few manuscripts. The academic teaching rested on a foundation of Mathematics, Music and Astronomy. Much of Pythagoras' background in Egyptian philosophy and religion was based upon Number and Kabalistic principle. He postulated that the triangle was particularly important, as it was the first complete shape, and constituted a blueprint. Thus form is preceded by a blueprint, and each stage of this process is measured through numbers, hence nothing exists without numbers.

 

 

Free Numerology School | A Brief History of Pythagorean Numerology

numerology-school.com/brief-history-of-numerology.html‎

The history of Numerology is closely related to the invention of alphabet. Since letters of alphabet were also used to record numbers, each and every word could ...

A Brief History of Pythagorean Numerology

There are as many different numerologies in the world as there are developed cultures, since wise people have grasped the connection between Creation, Numbers and the reality of our world a long time ago. In this section, we are going to focus on only one kind of numerology: the one associated with Pythagoras.

The Life of Pythagoras

It all began more than 2500 years ago on Samos, a small island in the Mediterranean. Born there was a person who can rightfully be called the very first philosopher of humanity. This is because it was Pythagoras who in fact coined the word philosophy.

In those times, the Mediterranean was a major center of world's civilization, and the young Pythagoras traveled around a great deal in order to find all the available sources of ancient wisdom. He spent 22 years in Egypt absorbing the knowledge of its ancient civilization, he studied with the wise people of Babylon, and journeyed to Persia in order to familiarize himself with the Zoroastrian tradition, and he even met the mysterious Hyperboreans. The sphere of his interests was not limited to the sciences (particularly those of of mathematical nature), but also included religious systems. As a result, Pythagoras was initiated into the mysteries of several cultures.

By the time he was 40, Pythagoras had settled in Southern Italy, established his school and presented his teachings to humanity. The scale of that teaching and its impact on human civilization were so great that even now, after several millennia, the name of Pythagoras is known to every shool kid.

Ironically, though, the proof of the theorem present in school books is probably one of his least achievements. After all, the fact that the sum of the squares of two legs gives the square of hypotenuse was already well known in Egypt and Babylon long before Pythagoras came along. Yet his philosophical system was so impressive that the ever-famous Plato could even be thought of as merely one of Pythagoras’s followers.

However, the interests of Pythagoras weren't exclusively abstract or theoretical. He spent plenty of time researching music (And, again, not simply as an intellectual pursuit — those familiar with the theory of music can confirm that it is quite close to mathematics.) and its application to healing, and as a means of restoring the vibrational structure of one's system. Pythagoras believed that music is an art in which Numbers reach directly to the heart, whereas in mathematics, they just occupy the brain.

It is clear that philosophy, as understood by Pythagoras, was very different from how it is understood now. It had more in common with the concepts in Indian yoga. Consider this: Pythagoras completely accepted the idea of a cycle of numerous incarnations of a human soul and believed that the exit from that circle was found not through religious rituals but through philosophy, i.e., contemplation and comprehension of the main principles of Creation. Philosophy, in his understanding, was a path to perfect the soul, a path towards immortality.

Numbers are at the very core of Pythagoras’s teachings, but as you can see, his understanding of numbers was very different from the contemporary one. Now we understand numbers in a concrete, utilitarian way (two apples, three dollars, etc.), or like a sort of exercise for one's brain (the dreaded math with which we were all fed up at school and believed we’d never use in real life).

For Pythagoras, numbers, especially the first ten, are the highest manifestations of the Creative Principle in the creation of our world. They can be called the different aspects of the Creator of the Universe. Interacting and gradually descending from the world of ideas into the world of matter, the numbers create, according to their rules, everyone and everything.

And to show that this idea might not be not just wild speculation, consider that according to contemporary physics, at some deep level, microparticles and the quanta of energy are indistinguishable. In other words, material particles are in fact bundles of energy, or electromagnetic waves. And waves—or vibrations—are directly related to the numbers that define their frequency.

From Theory to Practice

Enough theoretical speculations for now. Let's concentrate on life’s utilitarian, practical application of numbers. We are all used to counting things, using money, applying numbers to our cars, telephones, addresses, and so on. The day, month and year of a person's birth also contains their numbers. Numbers surround us everywhere. And even though this is true, we do not think about them in terms of bearing some special mystical properties, but rather we are simply using them for convenience, taking one or another sequence of numbers as yet another random thing in our chaotic and senseless world.

Still, sooner or later many of us start asking questions the answers to which cannot be found in either schoolbooks or academic treatises. What are we doing in this world? Is there any reason for our existence here? Is the world really as chaotic and void of any sense as it seems to be? Are we really here simply to hang around in this chaos and somehow come to our natural end? Or does our existence have some purpose? Is there perhaps something that we are supposed to learn in our lives? Is there someone or something that can help us to understand what's going on, which path to take so that we can eventually reach our true destination?

Questions like these have been asked since man’s beginning on this Earth. To some people, these kinds of questions come early in youth, while others need to gain some life experience before they start asking these things, and others still who simply can't be bothered with them.

Understanding the connection between the everyday numbers that surround us and the Numbers (with a capital N), which are the acting principles of the universe, is important in our search for the answers to the questions above. This is where numerology comes in.

In the lessons that follow, I will share with you my fascination with the wonders of the universe, as seen with the help of the tools of practical numerology. I don't promise that you will understand everything about your life and the surrounding world, but if you were to get even the smallest glimpse of understanding, this could prove to be very important. After all, even a tiny lantern is much better than complete darkness.

More History

Below you'll find a collection of bits and pieces of information that will help you to better understand the history of Numerology. I plan to add more to this collection from time to time.

isopsephy and Gematria

The history of Numerology is closely related to the invention of alphabet. Since letters of alphabet were also used to record numbers, each and every word could be given a numeric value. The process of adding together the numeric values of separate letters to obtain a value for the whole word was called by the Greeks isopsephy. Later, when this method was used to interpret the Torah, it was called Gematria.

isopsephy was widely used by the Greeks in magic and interpretation of dreams. According to tradition, Pythagoras used isopsephy for divination. The idea is that if two words or two phrases have the same numeric value, then there is some kind of an invisible link between them. For example, Jesus in Greek (Ιησούς) adds up to 888, as well as the phrase "I am life" (η ζωη ειμι). Clearly, Christians felt this made a lot of sense.

As you will see, the approach that is used today to obtain the numeric value of a name or a word is substantially different from the method used in isopsephy.

 

 

Free Numerology School | A Brief History of Pythagorean Numerology

numerology-school.com/brief-history-of-numerology.html‎

The history of Numerology is closely related to the invention of alphabet. Since letters of alphabet were also used to record numbers, each and every word could be given a numeric value. The process of adding together the numeric values of separate letters to obtain a value for the whole word was called by the Greeks isopsephy. Later, when this method was used to interpret the Torah, it was called Gematria.

isopsephy was widely used by the Greeks in magic and interpretation of dreams. According to tradition, Pythagoras used isopsephy for divination. The idea is that if two words or two phrases have the same numeric value, then there is some kind of an invisible link between them. For example, Jesus in Greek (Ιησούς) adds up to 888, as well as the phrase "I am life" (η ζωη ειμι). Clearly, Christians felt this made a lot of sense.

As you will see, the approach that is used today to obtain the numeric value of a name or a word is substantially different from the method used in isopsephy.

 

 

-
-
-
-
-
ISOPSEPHY
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
1
1
I
9
9
9
-
-
2
3
4
-
-
-
-
9
S
=
1
2
1
S
19
10
1
-
1
2
3
4
-
-
-
-
-
O
=
6
3
1
O
15
6
6
-
-
2
3
4
-
6
-
-
-
P
=
7
4
1
P
16
7
7
-
-
2
3
4
-
-
7
-
-
S
=
1
5
1
S
19
10
1
-
1
2
3
4
-
-
-
-
-
E
=
5
6
1
E
5
5
5
-
-
2
3
4
5
-
-
-
-
P
=
7
7
1
P
16
7
7
-
-
2
3
4
-
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
2
3
4
-
-
-
8
-
Y
=
7
9
1
Y
25
7
7
-
-
2
3
4
-
-
7
-
-
-
-
51
-
9
ISOPSEPHY
132
69
51
-
2
2
3
4
5
6
21
8
9
-
-
5+1
-
-
-
1+3+2
6+9
5+1
-
-
-
-
-
-
-
2+1
-
-
-
-
6
-
9
ISOPSEPHY
6
15
6
-
2
2
3
4
5
6
3
8
9
-
-
-
-
-
-
-
1+5
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
ISOPSEPHY
6
6
6
-
2
2
3
4
5
6
3
8
9

 

 

-
-
-
-
-
ISOPSEPHY
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
2
1
S
19
10
1
-
1
2
3
4
-
-
-
-
-
S
=
1
5
1
S
19
10
1
-
1
2
3
4
-
-
-
-
-
E
=
5
6
1
E
5
5
5
-
-
2
3
4
5
-
-
-
-
O
=
6
3
1
O
15
6
6
-
-
2
3
4
-
6
-
-
-
P
=
7
4
1
P
16
7
7
-
-
2
3
4
-
-
7
-
-
P
=
7
7
1
P
16
7
7
-
-
2
3
4
-
-
7
-
-
Y
=
7
9
1
Y
25
7
7
-
-
2
3
4
-
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
2
3
4
-
-
-
8
-
I
=
9
1
1
I
9
9
9
-
-
2
3
4
-
-
-
-
9
-
-
51
-
9
ISOPSEPHY
132
69
51
-
2
2
3
4
5
6
21
8
9
-
-
5+1
-
-
-
1+3+2
6+9
5+1
-
-
-
-
-
-
-
2+1
-
-
-
-
6
-
9
ISOPSEPHY
6
15
6
-
2
2
3
4
5
6
3
8
9
-
-
-
-
-
-
-
1+5
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
ISOPSEPHY
6
6
6
-
2
2
3
4
5
6
3
8
9

 

 

-
-
-
-
-
PYTHAGORAS
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
3
4
5
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
3
4
5
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
3
4
5
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
3
4
5
6
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
3
4
5
-
7
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
4
5
-
7
-
-
G
=
7
-
1
G
7
7
7
-
-
-
3
4
5
-
7
-
-
H
=
8
-
1
H
8
8
8
-
-
-
3
4
5
-
-
8
-
R
=
9
-
1
R
18
9
9
-
-
-
3
4
5
-
-
-
9
-
-
49
-
10
PYTHAGORAS
130
58
49
-
3
2
3
4
5
6
21
8
9
-
-
4+9
-
1+0
-
1+3+0
5+8
4+9
-
-
-
-
-
-
-
2+1
-
-
-
-
13
-
1
PYTHAGORAS
4
13
13
-
3
2
3
4
5
6
3
8
9
-
-
1+3
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
1
PYTHAGORAS
4
4
4
-
3
2
3
4
5
6
3
8
9

 

 

3
-
5
THREE
56
29
2
4
-
4
FOUR
60
24
6
5
-
4
FIVE
42
24
6
12
-
13
First Total
158
77
14
1+2
-
1+3
Add to Reduce
1+5+8
7+7
1+4
3
-
4
Second Total
14
14
5
-
-
-
Reduce to Deduce
1+4
1+4
--
3
-
4
Essence of Number
5
5
5

 

 

THE GROWTH OF SCIENCE

A.P.Rossiter 1939

Page 15

"The Egyptians,…" "…made good observations on the stars and were able to say when the sun or moon would become dark in an eclipse (a most surprising event even in our times), and when the land would be covered by the waters of the Nile: they were expert at building and made some discoveries about the relations of lines and angles - among them one very old rule for getting a right-angle by stretching out knotted cords with 5, 4 And 3 units between the knots."

"...among them one very old rule for getting a right-angle by stretching out knotted cords with

5, 4 And 3 units between the knots."

 

 

CIVILIZATION, SCIENCE AND RELIGION

A. D. RITCHIE 1945

THE ART OF THINKING

Page 39

"The Egyptians could set out a right-angle on the ground,

for building or for land surveying,

by means of a cord knotted at intervals of

3, 4 and 5 units of length."

 

3
-
5
THREE
56
29
2
4
-
4
FOUR
60
24
6
5
-
4
FIVE
42
24
6
12
-
13
First Total
158
77
14
1+2
-
1+3
Add to Reduce
1+5+8
7+7
1+4
3
-
4
Second Total
14
14
5
-
-
-
Reduce to Deduce
1+4
1+4
--
3
-
4
Essence of Number
5
5
5

 

 

Babylonia - Wikipedia
https://en.wikipedia.org/wiki/Babylonia

Babylonia was an ancient Akkadian-speaking state and cultural area based in central-southern .... Sumer rose up again with the Third Dynasty of Ur in the late 22nd century BC, and ejected the Gutians from southern Mesopotamia. They also ...
?Babylonian religion · ?Amorites · ?Neo-Babylonian Empire · ?First Babylonian dynasty

Babylonia (/?bæb?'lo?ni?/) was an ancient Akkadian-speaking state and cultural area based in central-southern Mesopotamia (present-day Iraq). A small Amorite-ruled state emerged in 1894 BC, which contained the minor administrative town of Babylon.[1] It was merely a small provincial town during the Akkadian Empire (2335–2154 BC) but greatly expanded during the reign of Hammurabi in the first half of the 18th century BC and became a major capital city. During the reign of Hammurabi and afterwards, Babylonia was called "the country of Akkad" (Mat Akkadi in Akkadian), a deliberate archaism in reference to the previous glory of the Akkadian Empire.[2][3]

It was often involved in rivalry with the older state of Assyria to the north and Elam to the east in Ancient Iran. Babylonia briefly became the major power in the region after Hammurabi (fl. c. 1792–1752 BC middle chronology, or c. 1696–1654 BC, short chronology) created a short-lived empire, succeeding the earlier Akkadian Empire, Third Dynasty of Ur, and Old Assyrian Empire. The Babylonian empire, however, rapidly fell apart after the death of Hammurabi and reverted to a small kingdom.

Like Assyria, the Babylonian state retained the written Akkadian language (the language of its native populace) for official use, despite its Northwest Semitic-speaking Amorite founders and Kassite successors, who spoke a language isolate, not being native Mesopotamians. It retained the Sumerian language for religious use (as did Assyria), but already by the time Babylon was founded, this was no longer a spoken language, having been wholly subsumed by Akkadian. The earlier Akkadian and Sumerian traditions played a major role in Babylonian and Assyrian culture, and the region would remain an important cultural center, even under its protracted periods of outside rule.

The earliest mention of the city of Babylon can be found in a clay tablet from the reign of Sargon of Akkad (2334–2279 BC), dating back to the 23rd century BC. Babylon was merely a religious and cultural centre at this point and neither an independent state nor a large city; like the rest of Mesopotamia, it was subject to the Akkadian Empire which united all the Akkadian and Sumerian speakers under one rule. After the collapse of the Akkadian empire, the south Mesopotamian region was dominated by the Gutian people for a few decades before the rise of the Third Dynasty of Ur, which restored order to the region and which, apart from northern Assyria, encompassed the whole of Mesopotamia, including the town of Babylon.

Pre-Babylonian Sumero-Akkadian period[edit]

Mesopotamia had already enjoyed a long history prior to the emergence of Babylon, with Sumerian civilisation emerging in the region c. 3500 BC, and the Akkadian-speaking people appearing by the 30th century BC.[citation needed]

During the 3rd millennium BC, an intimate cultural symbiosis occurred between Sumerian and Akkadian-speakers, which included widespread bilingualism.[4] The influence of Sumerian on Akkadian and vice versa is evident in all areas, from lexical borrowing on a massive scale, to syntactic, morphological, and phonological convergence.[4] This has prompted scholars to refer to Sumerian and Akkadian in the third millennium as a sprachbund.[4]

Akkadian gradually replaced Sumerian as the spoken language of Mesopotamia somewhere around the turn of the third and the second millennium BC (the precise timeframe being a matter of debate).[5]

From c. 3500 BC until the rise of the Akkadian Empire in the 24th century BC, Mesopotamia had been dominated by largely Sumerian cities and city states, such as Ur, Lagash, Uruk, Kish, Isin, Larsa, Adab, Eridu, Gasur, Assur, Hamazi, Akshak, Arbela and Umma, although Semitic Akkadian names began to appear on the king lists of some of these states (such as Eshnunna and Assyria) between the 29th and 25th centuries BC. Traditionally, the major religious center of all Mesopotamia was the city of Nippur where the god Enlil was supreme, and it would remain so until replaced by Babylon during the reign of Hammurabi in the mid-18th century BC.[citation needed]

The Akkadian Empire (2334–2154 BC) saw the Akkadian Semites and Sumerians of Mesopotamia unite under one rule, and the Akkadians fully attain ascendancy over the Sumerians and indeed come to dominate much of the ancient Near East.

The empire eventually disintegrated due to economic decline, climate change and civil war, followed by attacks by the Gutians from the Zagros Mountains. Sumer rose up again with the Third Dynasty of Ur in the late 22nd century BC, and ejected the Gutians from southern Mesopotamia. They also seem to have gained ascendancy over much of the territory of the Akkadian kings of Assyria in northern Mesopotamia for a time.[citation needed]

Followed by the collapse of the Sumerian "Ur-III" dynasty at the hands of the Elamites in 2002 BC, the Amorites ("Westerners"), a foreign Northwest Semitic-speaking people, began to migrate into southern Mesopotamia from the northern Levant, gradually gaining control over most of southern Mesopotamia, where they formed a series of small kingdoms, while the Assyrians reasserted their independence in the north. The states of the south were unable to stem the Amorite advance, and for a time may have relied on their fellow Akkadians in Assyria for protection.[citation needed]

King Ilu-shuma (c. 2008–1975 BC) of the Old Assyrian Empire (2025–1750 BC) in a known inscription describes his exploits to the south as follows:

The freedom[n 1] of the Akkadians and their children I established. I purified their copper. I established their freedom from the border of the marshes and Ur and Nippur, Awal, and Kish, Der of the goddess Ishtar, as far as the City of (Ashur).[6]

Past scholars originally extrapolated from this text that it means he defeated the invading Amorites to the south and Elamites to the east, but there is no explicit record of that, and some scholars believe the Assyrian kings were merely giving preferential trade agreements to the south.

These policies were continued by his successors Erishum I and Ikunum.

However, when Sargon I (1920–1881 BC) succeeded as king in Assyria in 1920 BC, he eventually withdrew Assyria from the region, preferring to concentrate on continuing the vigorous expansion of Assyrian colonies in Anatolia and the Levant, and eventually southern Mesopotamia fell to the Amorites, a Northwest Semitic-speaking people from the northern Levant. During the first centuries of what is called the "Amorite period", the most powerful city states in the south were Isin, Eshnunna and Larsa, together with Assyria in the north.

First Babylonian dynasty – Amorite Dynasty, 1894–1595 BC[edit]

Main article: First Babylonian dynasty

Hammurabi (standing), depicted as receiving his royal insignia from Shamash (or possibly Marduk). Hammurabi holds his hands over his mouth as a sign of prayer[7] (relief on the upper part of the stele of Hammurabi's code of laws).
One of these Amorite dynasties founded a small kingdom of Kazallu which included the then still minor town of Babylon circa 1894 BC, which would ultimately take over the others and form the short-lived first Babylonian empire, also called the First Babylonian dynasty.

An Amorite chieftain named Sumu-abum appropriated a tract of land which included the then relatively small city of Babylon from the neighbouring Amorite ruled Mesopotamian city state of Kazallu, of which it had initially been a territory, turning his newly acquired lands into a state in its own right. His reign was concerned with establishing statehood amongst a sea of other minor city states and kingdoms in the region. However Sumuabum appears never to have bothered to give himself the title of King of Babylon, suggesting that Babylon itself was still only a minor town or city, and not worthy of kingship.[8]

He was followed by Sumu-la-El, Sabium, Apil-Sin, each of whom ruled in the same vague manner as Sumuabum, with no reference to kingship of Babylon itself being made in any written records of the time. Sin-Muballit was the first of these Amorite rulers to be regarded officially as a king of Babylon, and then on only one single clay tablet. Under these kings, the nation in which Babylon lay remained a small nation which controlled very little territory, and was overshadowed by neighbouring kingdoms that were both older, larger, and more powerful, such as; Isin, Larsa, Assyria to the north and Elam to the east in ancient Iran. The Elamites occupied huge swathes of southern Mesopotamia, and the early Amorite rulers were largely held in vassalage to Elam.

Empire of Hammurabi[edit]

Babylon remained a minor town in a small state until the reign of its sixth Amorite ruler, Hammurabi, during 1792–1750 BC (or c. 1728 – 1686 BC in the short chronology). He conducted major building work in Babylon, expanding it from a small town into a great city worthy of kingship. A very efficient ruler, he established a bureaucracy, with taxation and centralized government. Hammurabi freed Babylon from Elamite dominance, and indeed drove the Elamites from southern Mesopotamia entirely. He then systematically conquered southern Mesopotamia, including the cities of Isin, Larsa, Eshnunna, Kish, Lagash, Nippur, Borsippa, Ur, Uruk, Umma, Adab, Sippar, Rapiqum, and Eridu. His conquests gave the region stability after turbulent times, and coalesced the patchwork of small states into a single nation; it is only from the time of Hammurabi that southern Mesopotamia acquired the name Babylonia.

Hammurabi turned his disciplined armies eastwards and invaded the region which a thousand years later became Iran, conquering Elam, Gutians, Lullubi and Kassites. To the west, he conqured the Amorite states of the Levant (modern Syria and Jordan) including the powerful kingdoms of Mari and Yamhad.

Hammurabi then entered into a protracted war with the Old Assyrian Empire for control of Mesopotamia and dominance of the Near East. Assyria had extended control over much of the Hurrian and Hattian parts of southeast Anatolia from the 21st century BC, and from the latter part of the 20th century BC had asserted itself over the north east Levant and central Mesopotamia. After a protracted struggle over decades with the powerful Assyrian kings Shamshi-Adad I and Ishme-Dagan I, Hammurabi forced their successor Mut-Ashkur to pay tribute to Babylon c. 1751 BC, giving Babylonia control over Assyria's centuries-old Hattian and Hurrian colonies in Anatolia.[9]

One of Hammurabi's most important and lasting works was the compilation of the Babylonian law code, which improved the much earlier codes of Sumer, Akkad and Assyria. This was made by order of Hammurabi after the expulsion of the Elamites and the settlement of his kingdom. In 1901, a copy of the Code of Hammurabi was discovered on a stele by Jacques de Morgan and Jean-Vincent Scheil at Susa in Elam, where it had later been taken as plunder. That copy is now in the Louvre.

From before 3000 BC until the reign of Hammurabi, the major cultural and religious center of southern Mesopotamia had been the ancient city of Nippur, where the god Enlil was supreme. Hammurabi transferred this dominance to Babylon, making Marduk supreme in the pantheon of southern Mesopotamia (with the god Ashur, and to some degree Ishtar, remaining the long-dominant deity in northern Mesopotamian Assyria). The city of Babylon became known as a "holy city" where any legitimate ruler of southern Mesopotamia had to be crowned. Hammurabi turned what had previously been a minor administrative town into a large, powerful and influential city, extended its rule over the entirety of southern Mesopotamia, and erected a number of impressive buildings.

The Amorite-ruled Babylonians, like their predecessor states, engaged in regular trade with the Amorite and Canaanite city-states to the west, with Babylonian officials or troops sometimes passing to the Levant and Canaan, and Amorite merchants operating freely throughout Mesopotamia. The Babylonian monarchy's western connections remained strong for quite some time. Ammi-Ditana, great-grandson of Hammurabi, still titled himself "king of the land of the Amorites". Ammi-Ditana's father and son also bore Amorite names: Abi-Eshuh and Ammi-Saduqa.

Decline[edit]

Southern Mesopotamia had no natural, defensible boundaries, making it vulnerable to attack. After the death of Hammurabi, his empire began to disintegrate rapidly. Under his successor Samsu-iluna (1749–1712 BC) the far south of Mesopotamia was lost to a native Akkadian-speaking king Ilum-ma-ili who ejected the Amorite-ruled Babylonians. The south became the native Sealand Dynasty, remaining free of Babylon for the next 272 years.[10]

Both the Babylonians and their Amorite rulers were driven from Assyria to the north by an Assyrian-Akkadian governor named Puzur-Sin c. 1740 BC, who regarded king Mut-Ashkur as both a foreign Amorite and a former lackey of Babylon. After six years of civil war in Assyria, a native king named Adasi seized power c. 1735 BC, and went on to appropriate former Babylonian and Amorite territory in central Mesopotamia, as did his successor Bel-bani.

Amorite rule survived in a much reduced Babylon, Samshu-iluna's successor Abi-Eshuh made a vain attempt to recapture the Sealand Dynasty for Babylon, but met defeat at the hands of king Damqi-ilishu II. By the end of his reign Babylonia had shrunk to the small and relatively weak nation it had been upon its foundation, although the city itself was far larger than the small town it had been prior to the rise of Hammurabi.

He was followed by Ammi-Ditana and then Ammi-Saduqa, both of whom were in too weak a position to make any attempt to regain the many territories lost after the death of Hammurabi, contenting themselves with peaceful building projects in Babylon itself.

Samsu-Ditana was to be the last Amorite ruler of Babylon. Early in his reign he came under pressure from the Kassites, a people speaking an apparent language isolate originating in the mountains of what is today northwest Iran. Babylon was then attacked by the Indo-European-speaking, Anatolia-based Hittites in 1595 BC. Shamshu-Ditana was overthrown following the "sack of Babylon" by the Hittite king Mursili I. The Hittites did not remain for long, but the destruction wrought by them finally enabled their Kassite allies to gain control.

 

 

Tower of Babel - Wikipedia
https://en.wikipedia.org/wiki/Tower_of_Babel

The Tower of Babel (Hebrew: Migdal Bavel) as told in Genesis 11:1–9 is an origin myth meant to explain why the world's peoples speak different languages. ... God, observing their city and tower, confounds their speech so that they can no longer understand each other, and scatters them around the world.
The Tower of Babel (Bruegel) · Tower of Babel (disambiguation) · Etemenanki

The Tower of Babel (Hebrew:, Migdal Bavel) as told in Genesis 11:1–9 is an origin myth meant to explain why the world's peoples speak different languages.[1][2][3][4]
According to the story, a united humanity in the generations following the Great Flood, speaking a single language and migrating eastward, comes to the land of Shinar (????????). There they agree to build a city and a tower tall enough to reach heaven. God, observing their city and tower, confounds their speech so that they can no longer understand each other, and scatters them around the world.
Some modern scholars have associated the Tower of Babel with known structures, notably the Etemenanki, a ziggurat dedicated to the Mesopotamian god Marduk by Nabopolassar, the king of Babylonia circa 610 BCE.[5][6] The Etemenanki was nearly 91 metres (300 ft) in height. Alexander the Great ordered it to be demolished circa 331 BCE in preparation for a reconstruction that his death forestalled.[7][8] A Sumerian story with some similar elements is told in Enmerkar and the Lord of Aratta.[9]

1 And the whole earth was of one language, and of one speech.
2 And it came to pass, as they journeyed from the east, that they found a plain in the land of Shinar; and they dwelt there.
3 And they said one to another, Go to, let us make brick, and burn them throughly. And they had brick for stone, and slime had they for morter.
4 And they said, Go to, let us build us a city and a tower, whose top may reach unto heaven; and let us make us a name, lest we be scattered abroad upon the face of the whole earth.
5 And the LORD came down to see the city and the tower, which the children of men builded.
6 And the LORD said, Behold, the people is one, and they have all one language; and this they begin to do: and now nothing will be restrained from them, which they have imagined to do.
7 Go to, let us go down, and there confound their language, that they may not understand one another's speech.
8 So the LORD scattered them abroad from thence upon the face of all the earth: and they left off to build the city.
9 Therefore is the name of it called Babel; because the LORD did there confound the language of all the earth: and from thence did the LORD scatter them abroad upon the face of all the earth.

Etymology[edit]

The phrase "Tower of Babel" does not appear in the Bible; it is always "the city and the tower" (???-?????? ?????-???????????) or just "the city" (??????). The original derivation of the name Babel (also the Hebrew name for Babylon) is uncertain. The native, Akkadian name of the city was Bab-ilim, meaning "gate of God". However, that form and interpretation itself are now usually thought to be the result of an Akkadian folk etymology applied to an earlier form of the name, Babilla, of unknown meaning and probably non-Semitic origin.[11][12] According to the Bible, the city received the name "Babel" from the Hebrew verb ??????? (balal), meaning to jumble or to confuse.[13][14]

Composition[edit]

Genre[edit]

The narrative of the tower of Babel (Genesis 11.1–9) is an etiology or explanation of a phenomenon. Etiologies are narratives that explain the origin of a custom, ritual, geographical feature, name, or other phenomenon.[15]:426 The story of the Tower of Babel explains the origins of the multiplicity of languages. God was concerned that humans had blasphemed by building the tower to avoid a second flood so God brought into existence multiple languages.[15]:51 Thus, humans were divided into linguistic groups, unable to understand one another.

Themes[edit]

The story's theme of competition between God and humans appears elsewhere in Genesis, in the story of Adam and Eve in the Garden of Eden.[16] The 1st-century Jewish interpretation found in Flavius Josephus explains the construction of the tower as a hubristic act of defiance against God ordered by the arrogant tyrant Nimrod. There have, however, been some contemporary challenges to this classical interpretation, with emphasis placed on the explicit motive of cultural and linguistic homogeneity mentioned in the narrative (v. 1, 4, 6).[17] This reading of the text sees God's actions not as a punishment for pride, but as an etiology of cultural differences, presenting Babel as the cradle of civilization.

Authorship and source criticism[edit]

Tradition attributes the whole of the Pentateuch to Moses; however, in the late 19th century, the documentary hypothesis was proposed by Julius Wellhausen.[18] This hypothesis proposes four sources: J, E, P and D. Of these hypothetical sources, proponents suggest that this narrative comes from the J or Yahwist source. The etiological nature of the narrative is considered typical of J. In addition, the intentional word play regarding the city of Babel, and the noise of the people's "babbling" is found in the Hebrew words as easily as in English, and is considered typical of the Yahwist source.[15]:51

Comparable myths[edit]

See also: Comparative mythology and Mythical origins of language

Sumerian and Assyrian parallel[edit]

There is a Sumerian myth similar to that of the Tower of Babel, called Enmerkar and the Lord of Aratta,[9] where Enmerkar of Uruk is building a massive ziggurat in Eridu and demands a tribute of precious materials from Aratta for its construction, at one point reciting an incantation imploring the god Enki to restore (or in Kramer's translation, to disrupt) the linguistic unity of the inhabited regions—named as Shubur, Hamazi, Sumer, Uri-ki (Akkad), and the Martu land, "the whole universe, the well-guarded people—may they all address Enlil together in a single language."[19]

In addition, a further Assyrian myth, dating from the 8th century BC during the Neo-Assyrian Empire (911–605 BC) bears a number of similarities to the later written Biblical story.[20]

Mexico[edit]

Various traditions similar to that of the tower of Babel are found in Central America. Some writers[who?] connected the Great Pyramid of Cholula to the Tower of Babel. The Dominican friar Diego Durán (1537–1588) reported hearing an account about the pyramid from a hundred-year-old priest at Cholula, shortly after the conquest of Mexico. He wrote that he was told when the light of the sun first appeared upon the land, giants appeared and set off in search of the sun. Not finding it, they built a tower to reach the sky. An angered Lord of the Heavens called upon the inhabitants of the sky, who destroyed the tower and scattered its inhabitants. The story was not related to either a flood or the confusion of languages, although Frazer connects its construction and the scattering of the giants with the Tower of Babel.[21]

Another story, attributed by the native historian Fernando de Alva Cortés Ixtlilxóchitl (c. 1565–1648) to the ancient Toltecs, states that after men had multiplied following a great deluge, they erected a tall zacuali or tower, to preserve themselves in the event of a second deluge. However, their languages were confounded and they went to separate parts of the earth.[22]

Arizona[edit]

Still another story, attributed to the Tohono O'odham people, holds that Montezuma escaped a great flood, then became wicked and attempted to build a house reaching to heaven, but the Great Spirit destroyed it with thunderbolts.[23][24]

Nepal[edit]

Traces of a somewhat similar story have also been reported among the Tharu of Nepal and northern India.[25]

Africa[edit]

According to David Livingstone, the Africans whom he met living near Lake Ngami in 1849 had such a tradition, but with the builders' heads getting "cracked by the fall of the scaffolding".[26]

Other traditions[edit]

In his 1918 book, Folklore in the Old Testament, Scottish social anthropologist Sir James George Frazer documented similarities between Old Testament stories, such as the Flood, and indigenous legends around the world. He identified Livingston's account with a tale found in Lozi mythology, wherein the wicked men build a tower of masts to pursue the Creator-God, Nyambe, who has fled to Heaven on a spider-web, but the men perish when the masts collapse. He further relates similar tales of the Ashanti that substitute a pile of porridge pestles for the masts. Frazer moreover cites such legends found among the Kongo people, as well as in Tanzania, where the men stack poles or trees in a failed attempt to reach the moon.[21] He further cited the Karbi and Kuki people of Assam as having a similar story. The traditions of the Karen people of Myanmar, which Frazer considered to show clear 'Abrahamic' influence, also relate that their ancestors migrated there following the abandonment of a great pagoda in the land of the Karenni 30 generations from Adam, when the languages were confused and the Karen separated from the Karenni. He notes yet another version current in the Admiralty Islands, where mankind's languages are confused following a failed attempt to build houses reaching to heaven.

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

10
PYTHAGORAS
130
49
4
9
OURABORUS
130
40
4

 

 

9
OURABORUS
130
40
4
10
PYTHAGORAS
130
49
4
19
Add to Reduce
260
80
8
1+9
Reduce to Deduce
2+6+0
8+0
-
10
Essence of Number
8
8
8

 

 

JUST SIX NUMBERS

THE DEEP FORCES THAT SHAPE THE UNIVERSE

Martin Rees 1999

Page 7

"Lengths spanning sixty powers of ten are depicted in the ouraborus,"

Page 8

FIGURE 1.1 (omitted)

"The ouraborus, There are links between the microworld of particles, nuclei and atoms (left) and the cosmos (right)"

Page 161

"A theme of this book has been the intimate links between the microworld and the cosmos symbolized by the ouraborus"

 

 

Solar Plexus; snake swallowing its own tail 11 posts - 4 authors - Last post: 19 Feb 2005
The ouraborous is the flow of a kind of kundalini which bypasses the heart. Kundalini is the Luciferic initiation. ...
www.astralpulse.com/.../metaphoric_phenomenon-t16782.0.html;... - Cached - Similar

The ouraborous is the flow of a kind of kundalini which bypasses the heart. Kundalini is the Luciferic initiation.

 

 

THE

OURABORUS PYTHAGORAS OURABORUS

THAT

SERPENT I PRESENT

 

 

 

 

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THE
33
15
6
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9
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13
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OURABORUS
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First Total
163
64
46
1+2
Add to Reduce
1+6+3
6+4
4+6
3
Second Total
10
10
10
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Reduce to Deduce
1+0
1+0
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3
Essence of Number
1
1
1

 

 

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OURABORUS
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18
9
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9
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18
9
9
2
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40
13
4
9
OURABORUS
130
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40
-
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9
OURABORUS
4
13
4
-
-
1+3
-
9
OURABORUS
4
4
4

 

 

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-
-
-
1+3+0
5+8
4+9
-
-
-
-
1+2
1+8
-
-
4
-
9
OURABORUS
4
13
13
-
2
2
6
3
9
-
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
4
-
9
OURABORUS
4
4
4
-
2
2
6
3
9

 

 

9
OURABORUS
130
40
4
10
PYTHAGORAS
130
49
4
19
First Total
260
89
8
1+9
Add to Reduce
2+6+0
8+9
-
10
Second Total
8
17
8
1+0
Reduce to Deduce
-
1+7
-
1
Essence of Number
8
8
8

 

B HOURS OF HORUS B

 

-
OURABORUS
-
-
-
2
O+U
36
9
9
1
R
18
9
9
3
A+B+O
18
9
9
1
R
18
9
9
2
U+S
40
13
4
9
OURABORUS
130
49
40
-
-
1+3+0
4+9
4+0
-
OURABORUS
4
13
4
-
-
-
1+3
-
9
OURABORUS
4
4
4

 

 

-
9
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
-
6
-
-
1
+
=
13
1+3
=
4
=
4
=
4
-
-
15
-
-
-
-
15
-
-
19
+
=
49
4+9
=
13
1+3
4
=
4
-
9
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
-
3
9
1
2
-
9
3
-
+
=
27
2+7
=
9
=
9
=
9
-
`-
-
21
18
1
2
-
18
21
-
+
=
81
8+1
=
9
=
9
=
9
-
9
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
`-
15
21
18
1
2
15
18
21
19
+
=
130
1+3
=
4
=
4
=
4
-
-
6
3
9
1
2
6
9
3
1
+
=
40
4+0
=
4
=
4
=
4
-
9
O
U
R
A
B
O
R
U
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
1
=
2
=
2
-
--
-
3
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
--
--
5
FIVE
5
-
-
-
-
-
-
--
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
--
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
24
9
O
U
R
A
B
O
R
U
S
-
-
21
-
-
9
-
49
-
22
2+4
-
-
-
9
-
-
-
9
-
-
-
-
2+1
-
-
-
-
4+9
-
2+2
6
9
O
U
R
A
B
O
R
U
S
-
-
3
-
-
9
-
13
-
4
-
-
6
3
9
1
2
6
9
3
1
-
-
-
-
-
-
-
1+3
-
-
6
9
O
U
R
A
B
O
R
U
S
-
-
3
-
-
9
-
4
-
4

 

 

-
9
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
-
6
-
-
1
+
=
13
1+3
=
4
=
4
=
4
-
-
15
-
-
-
-
15
-
-
19
+
=
49
4+9
=
13
1+3
4
=
4
-
9
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
-
3
9
1
2
-
9
3
-
+
=
27
2+7
=
9
=
9
=
9
-
`-
-
21
18
1
2
-
18
21
-
+
=
81
8+1
=
9
=
9
=
9
-
9
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
`-
15
21
18
1
2
15
18
21
19
+
=
130
1+3
=
4
=
4
=
4
-
-
6
3
9
1
2
6
9
3
1
+
=
40
4+0
=
4
=
4
=
4
-
9
O
U
R
A
B
O
R
U
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
1
=
2
=
2
-
--
-
3
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
-
--
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
24
9
O
U
R
A
B
O
R
U
S
-
-
21
-
-
9
-
49
-
22
2+4
-
-
-
9
-
-
-
9
-
-
-
-
2+1
-
-
-
-
4+9
-
2+2
6
9
O
U
R
A
B
O
R
U
S
-
-
3
-
-
9
-
13
-
4
-
-
6
3
9
1
2
6
9
3
1
-
-
-
-
-
-
-
1+3
-
-
6
9
O
U
R
A
B
O
R
U
S
-
-
3
-
-
9
-
4
-
4

 

 

10
PYTHAGORAS
130
49
4
3
AND
19
10
1
9
OURABORUS
130
40
4
22
First Total
279
99
9
2+2
Add to Reduce
2+7+9
9+9
-
4
Second Total
18
18
9
-
Reduce to Deduce
1+8
1+8
-
4
Essence of Number
9
9
9

 

 

-
22
P
Y
T
H
A
G
O
R
A
S
-T
A
N
D
-T
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
-
-
5
-
-
6
-
-
-
-
6
-
-
1
+
=
33
3+3
=
6
=
6
=
6
-
-
-
-
-
8
-
-
15
-
-
19
--
-
14
-
--
15
-
-
-
-
15
-
-
19
+
=
105
1+0+5
=
6
=
6
=
6
-
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
1
-
4
-
-
3
9
1
2
-
9
3
-
+
=
66
6+6
=
12
1+2
3
=
3
-
`-
16
25
20
-
1
7
-
18
1
-
--
1
-
4
--
-
21
18
1
2
-
18
21
-
+
=
174
1+7+4
=
12
1+2
3
=
3
-
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
-
1
14
4
-
15
21
18
1
2
15
18
21
19
+
=
279
2+7+9
=
18
1+8
9
=
9
-
-
7
7
2
8
1
7
6
9
1
1
-
1
5
4
-
6
3
9
1
2
6
9
3
1
+
=
99
9+9
=
18
1+8
9
=
9
-
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
A
B
O
R
U
S
-T
-T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
1
1
-
1
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
6
=
6
=
6
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
3
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
--
--
5
occurs
x
1
=
5
=
5
6
--
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
45
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
A
B
O
R
U
S
-
-
45
-
-
22
-
99
-
54
4+5
2+2
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
6
-
-
-
-
6
-
-
-
-
-
4+5
-
-
2+2
-
9+9
-
5+4
9
4
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
A
B
O
R
U
S
-
-
9
-
-
4
-
18
-
9
-
-
7
7
2
8
1
7
6
9
1
1
-
1
5
4
-
6
3
9
1
2
6
9
3
1
-
-
-
-
-
-
-
1+8
-
-
9
4
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
A
B
O
R
U
S
-
-
9
-
-
4
-
9
-
9

 

 

PYTHAGORAS OURABORUS

 

10
PYTHAGORAS
130
49
4
9
OURABORUS
130
40
4
19
First Total
260
89
8
1+9
Add to Reduce
2+6+0
8+9
-
10
Second Total
8
17
8
1+0
Reduce to Deduce
-
1+7
-
1
Essence of Number
8
8
8

 

THIRTEEN = 99 = THIRTEEN

 

-
22
P
Y
T
H
A
G
O
R
A
S
-T
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
-
6
-
-
-
-
6
-
-
1
+
=
28
2+8
=
10
1+0
1
=
1
-
-
-
-
-
8
-
-
15
-
-
19
--
15
-
-
-
-
15
-
-
19
+
=
91
9+1
=
10
1+0
1
=
1
-
22
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
-
3
9
1
2
-
9
3
-
+
=
61
6+1
=
7
=
7
=
7
-
`-
16
25
20
-
1
7
-
18
1
-
--
-
21
18
1
2
-
18
21
-
+
=
169
1+6+9
=
16
1+6
7
=
7
-
22
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
-
15
21
18
1
2
15
18
21
19
+
=
260
2+6+0
=
17
1+7
8
=
8
-
-
7
7
2
8
1
7
6
9
1
1
-
6
3
9
1
2
6
9
3
1
+
=
89
8+9
=
17
1+7
8
=
8
-
22
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
--
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
--
5
FIVE
5
-
-
-
-
-
--
--
-
-
-
-
-
-
6
-
-
-
-
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
--
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
9
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
36
-
-
19
-
89
-
44
-
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
-
1
-
-
-
-
1
-
-
3+6
-
-
1+9
-
8+9
-
4+4
9
10
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
9
-
-
10
-
17
-
8
-
1+0
7
7
2
8
1
7
6
9
1
1
-
6
3
9
1
2
6
9
3
1
-
-
-
-
-
1+0
-
1+7
-
-
9
1
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
9
-
-
1
-
8
-
8

 

PYTHAGORAS OURABORUS

 

22
P
Y
T
H
A
G
O
R
A
S
-T
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
-
6
-
-
-
-
6
-
-
1
+
=
28
2+8
=
10
1+0
1
=
1
-
-
-
-
8
-
-
15
-
-
19
--
15
-
-
-
-
15
-
-
19
+
=
91
9+1
=
10
1+0
1
=
1
22
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
-
3
9
1
2
-
9
3
-
+
=
61
6+1
=
7
=
7
=
7
`-
16
25
20
-
1
7
-
18
1
-
--
-
21
18
1
2
-
18
21
-
+
=
169
1+6+9
=
16
1+6
7
=
7
22
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
-
15
21
18
1
2
15
18
21
19
+
=
260
2+6+0
=
17
1+7
8
=
8
-
7
7
2
8
1
7
6
9
1
1
-
6
3
9
1
2
6
9
3
1
+
=
89
8+9
=
17
1+7
8
=
8
22
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
--
-
-
-
-
-
-
6
-
-
-
-
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
36
-
-
19
-
89
-
44
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
-
1
-
-
-
-
1
-
-
3+6
-
-
1+9
-
8+9
-
4+4
10
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
9
-
-
10
-
17
-
8
1+0
7
7
2
8
1
7
6
9
1
1
-
6
3
9
1
2
6
9
3
1
-
-
-
-
-
1+0
-
1+7
-
-
1
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
A
B
O
R
U
S
-
-
9
-
-
1
-
8
-
8

 

 

PYTHAGORASOURABORUS

 

19
PYTHAGORASOURABORUS
260
89
8
1+9
-
2+6+0
8+9
-
10
PYTHAGORASOURABORUS
8
17
8
1+0
-
-
1+7
-
1
PYTHAGORASOURABORUS
8
8
8

 

 

-
22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
6
-
-
-
-
6
-
-
1
+
=
28
2+8
=
10
1+0
1
=
1
-
-
-
-
-
8
-
-
15
-
-
19
15
-
-
-
-
15
-
-
19
+
=
91
9+1
=
10
1+0
1
=
1
-
22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
3
9
1
2
-
9
3
-
+
=
61
6+1
=
7
=
7
=
7
-
`-
16
25
20
-
1
7
-
18
1
-
-
21
18
1
2
-
18
21
-
+
=
169
1+6+9
=
16
1+6
7
=
7
-
22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
15
21
18
1
2
15
18
21
19
+
=
260
2+6+0
=
17
1+7
8
=
8
-
-
7
7
2
8
1
7
6
9
1
1
6
3
9
1
2
6
9
3
1
+
=
89
8+9
=
17
1+7
8
=
8
-
22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
--
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
--
5
FIVE
5
-
-
-
-
-
--
--
-
-
-
-
-
-
6
-
-
-
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
--
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
9
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
36
-
-
19
-
89
-
44
-
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
1
-
-
-
-
1
-
-
3+6
-
-
1+9
-
8+9
-
4+4
9
10
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
9
-
-
10
-
17
-
8
-
1+0
7
7
2
8
1
7
6
9
1
1
6
3
9
1
2
6
9
3
1
-
-
-
-
-
1+0
-
1+7
-
-
9
1
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
9
-
-
1
-
8
-
8

 

 

22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
6
-
-
-
-
6
-
-
1
+
=
28
2+8
=
10
1+0
1
=
1
-
-
-
-
8
-
-
15
-
-
19
15
-
-
-
-
15
-
-
19
+
=
91
9+1
=
10
1+0
1
=
1
22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
3
9
1
2
-
9
3
-
+
=
61
6+1
=
7
=
7
=
7
`-
16
25
20
-
1
7
-
18
1
-
-
21
18
1
2
-
18
21
-
+
=
169
1+6+9
=
16
1+6
7
=
7
22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
-
-
-
--
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
15
21
18
1
2
15
18
21
19
+
=
260
2+6+0
=
17
1+7
8
=
8
-
7
7
2
8
1
7
6
9
1
1
6
3
9
1
2
6
9
3
1
+
=
89
8+9
=
17
1+7
8
=
8
22
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
--
-
-
-
-
-
-
6
-
-
-
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
36
-
-
19
-
89
-
44
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
1
-
-
-
-
1
-
-
3+6
-
-
1+9
-
8+9
-
4+4
10
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
9
-
-
10
-
17
-
8
1+0
7
7
2
8
1
7
6
9
1
1
6
3
9
1
2
6
9
3
1
-
-
-
-
-
1+0
-
1+7
-
-
1
P
Y
T
H
A
G
O
R
A
S
O
U
R
A
B
O
R
U
S
-
-
9
-
-
1
-
8
-
8

 

B HOURS OF HORUS B

OURABORUS

OUROBOROS OUROBOROS

ANOTHER

SERPENT I PRESENT

 

 

9
OURABORUS
130
31
4
9
OUROBOROS
138
48
3

 

 

9
OUROBOROS
138
48
3
10
PYTHAGORAS
130
49
4
19
First Total
268
97
7
1+9
Add to Reduce
2+6+8
9+7
-
10
Second Total
16
16
7
1+0
Reduce to Deduce
1+6
1+6
-
1
Essence of Number
7
7
7

 

 

10
PYTHAGORAS
130
49
4
3
AND
19
10
1
9
OUROBOROS
138
48
3
22
First Total
287
107
8
2+2
Add to Reduce
2+8+7
1+0+7
-
4
Second Total
17
8
8
-
Reduce to Deduce
1+7
-
-
4
Essence of Number
8
8
8

 

 

-
22
P
Y
T
H
A
G
O
R
A
S
-T
A
N
D
-T
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
-
-
5
-
-
6
-
-
6
-
6
-
6
1
+
=
45
4+5
=
9
=
9
=
9
-
-
-
-
-
8
-
-
15
-
-
19
--
-
14
-
--
15
-
-
15
-
15
-
15
19
+
=
135
1+3+5
=
9
=
9
=
9
-
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
1
-
4
-
-
3
9
-
2
-
9
-
-
+
=
62
6+2
=
8
=
8
=
8
-
`-
16
25
20
-
1
7
-
18
1
-
--
1
-
4
--
-
21
18
-
2
-
18
-
-
+
=
152
1+5+2
=
8
=
8
=
8
-
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
-
1
14
4
-
15
21
18
15
2
15
18
15
19
+
=
287
2+8+7
=
17
1+7
8
=
8
-
-
7
7
2
8
1
7
6
9
1
1
-
1
5
4
-
6
3
9
6
2
6
9
6
1
+
=
107
1+0+7
=
8
=
8
=
8
-
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
1
1
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
3
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
--
--
5
occurs
x
1
=
5
=
5
6
--
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
7
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
18
1+8
9
--
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
-
-
-
-
-
-
-
-
45
22
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
O
B
O
R
O
S
-
-
45
-
-
22
-
107
-
44
4+5
2+2
7
7
2
8
1
7
6
9
1
1
-
1
5
4
-
6
3
9
6
2
6
9
6
1
-
-
4+5
-
-
2+2
-
1+0+7
-
4+4
9
5
P
Y
T
H
A
G
O
R
A
S
-
A
N
D
-
O
U
R
O
B
O
R
O
S
-
-
6
-
-
5
=
8
3+0
8

 

 

10
PYTHAGORAS
130
49
4
3
AND
19
10
1
9
OUROBOROS
138
48
3
22
First Total
287
107
8
2+2
Add to Reduce
2+8+7
1+0+7
-
4
Second Total
17
8
8
-
Reduce to Deduce
1+7
-
-
4
Essence of Number
8
8
8

 

 

-
22
P
Y
T
H
A
G
O
R
A
S
A
N
D
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
-
5
-
6
-
-
6
-
6
-
6
1
+
=
45
4+5
=
9
=
9
=
9
-
-
-
-
-
8
-
-
15
-
-
19
-
14
-
15
-
-
15
-
15
-
15
19
+
=
135
1+3+5
=
9
=
9
=
9
-
22
P
Y
T
H
A
G
O
R
A
S
A
N
D
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
1
-
4
-
3
9
-
2
-
9
-
-
+
=
62
6+2
=
8
=
8
=
8
-
`-
16
25
20
-
1
7
-
18
1
-
1
-
4
-
21
18
-
2
-
18
-
-
+
=
152
1+5+2
=
8
=
8
=
8
-
22
P
Y
T
H
A
G
O
R
A
S
A
N
D
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
1
14
4
15
21
18
15
2
15
18
15
19
+
=
287
2+8+7
=
17
1+7
8
=
8
-
-
7
7
2
8
1
7
6
9
1
1
1
5
4
6
3
9
6
2
6
9
6
1
+
=
107
1+0+7
=
8
=
8
=
8
-
22
P
Y
T
H
A
G
O
R
A
S
A
N
D
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
1
1
1
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
3
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
--
--
5
occurs
x
1
=
5
=
5
6
--
-
-
-
-
-
-
6
-
-
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
7
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
--
22
P
Y
T
H
A
G
O
R
A
S
A
N
D
O
U
R
O
B
O
R
O
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
1
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
-
-
-
-
-
-
-
-
45
22
P
Y
T
H
A
G
O
R
A
S
A
N
D
O
U
R
O
B
O
R
O
S
-
-
45
-
-
22
-
107
-
44
4+5
2+2
7
7
2
8
1
7
6
9
1
1
1
5
4
6
3
9
6
2
6
9
6
1
-
-
4+5
-
-
2+2
-
1+0+7
-
4+4
9
5
P
Y
T
H
A
G
O
R
A
S
A
N
D
O
U
R
O
B
O
R
O
S
-
-
6
-
-
5
=
8
3+0
8

 

 

10
PYTHAGORAS
130
49
4
9
OUROBOROS
138
48
3
19
First Total
268
97
7
1+9
Add to Reduce
2+6+8
9+7
-
10
Second Total
16
16
7
1+0
Reduce to Deduce
1+6
1+6
-
4
Essence of Number
7
7
7

 

 

-
19
P
Y
T
H
A
G
O
R
A
S
-T
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
-
6
-
-
6
-
6
-
6
1
+
=
40
4+0
=
4
=
4
=
4
-
-
-
-
-
8
-
-
15
-
-
19
--
15
-
-
15
-
15
-
15
19
+
=
121
1+2+1
=
4
=
4
=
4
-
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
-
3
9
-
2
-
9
-
-
+
=
57
5+7
=
12
1+2
3
=
3
-
`-
16
25
20
-
1
7
-
18
1
-
--
-
21
18
-
2
-
18
-
-
+
=
147
1+4+7
=
12
1+2
3
=
3
-
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
-
15
21
18
15
2
15
18
15
19
+
=
268
2+8+7
=
16
1+6
7
=
7
-
-
7
7
2
8
1
7
6
9
1
1
-
6
3
9
6
2
6
9
6
1
+
=
97
9+7
=
16
1+6
7
=
7
-
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
--
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
--
5
FIVE
5
-
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
-
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
9
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
19
-
97
-
44
-
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1+9
-
9+7
-
4+4
-
=
-
-
-
-
-
-
6
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
-
-
-
10
-
16
-
8
9
10
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
45
-
-
1+0
-
1+6
-
-
-
1+0
7
7
2
8
1
7
6
9
1
1
-
6
3
9
6
2
6
9
6
1
-
-
4+5
-
-
=
-
=
-
=
9
1
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
6
-
-
1
=
7
3+0
8

 

 

9
P
Y
T
H
A
G
O
R
A
S
-T
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
-
6
-
-
6
-
6
-
6
1
+
=
40
4+0
=
4
=
4
=
4
-
-
-
-
8
-
-
15
-
-
19
--
15
-
-
15
-
15
-
15
19
+
=
121
1+2+1
=
4
=
4
=
4
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
-
3
9
-
2
-
9
-
-
+
=
57
5+7
=
12
1+2
3
=
3
`-
16
25
20
-
1
7
-
18
1
-
--
-
21
18
-
2
-
18
-
-
+
=
147
1+4+7
=
12
1+2
3
=
3
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
-
15
21
18
15
2
15
18
15
19
+
=
268
2+8+7
=
16
1+6
7
=
7
-
7
7
2
8
1
7
6
9
1
1
-
6
3
9
6
2
6
9
6
1
+
=
97
9+7
=
16
1+6
7
=
7
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
-
-
-
-
-
-
6
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
19
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
19
-
97
-
44
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1+9
-
9+7
-
4+4
=
-
-
-
-
-
-
6
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
-
-
-
10
-
16
-
8
10
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
45
-
-
1+0
-
1+6
-
-
1+0
7
7
2
8
1
7
6
9
1
1
-
6
3
9
6
2
6
9
6
1
-
-
4+5
-
-
=
-
=
-
=
1
P
Y
T
H
A
G
O
R
A
S
-
O
U
R
O
B
O
R
O
S
-
-
6
-
-
1
=
7
3+0
8

 

 

19
PYTHAGORAS OUROBOROS
268
97
7
1+9
-
2+6+8
9+7
-
10
PYTHAGORAS OUROBOROS
16
16
7
1+0
-
-
1+6
-
1
PYTHAGORAS OUROBOROS
8
8
7

 

 

-
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
6
-
-
6
-
6
-
6
1
+
=
40
4+0
=
4
=
4
=
4
-
-
-
-
-
8
-
-
15
-
-
19
15
-
-
15
-
15
-
15
19
+
=
121
1+2+1
=
4
=
4
=
4
-
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
3
9
-
2
-
9
-
-
+
=
57
5+7
=
12
1+2
3
=
3
-
`-
16
25
20
-
1
7
-
18
1
-
-
21
18
-
2
-
18
-
-
+
=
147
1+4+7
=
12
1+2
3
=
3
-
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
15
21
18
15
2
15
18
15
19
+
=
268
2+8+7
=
16
1+6
7
=
7
-
-
7
7
2
8
1
7
6
9
1
1
6
3
9
6
2
6
9
6
1
+
=
97
9+7
=
16
1+6
7
=
7
-
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
--
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
--
5
FIVE
5
-
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
-
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
9
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
19
-
97
-
44
-
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1+9
-
9+7
-
4+4
-
=
-
-
-
-
-
-
6
-
-
-
6
-
-
6
-
6
-
6
-
-
-
-
-
-
10
-
16
-
8
9
10
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
45
-
-
1+0
-
1+6
-
-
-
1+0
7
7
2
8
1
7
6
9
1
1
6
3
9
6
2
6
9
6
1
-
-
4+5
-
-
=
-
=
-
=
9
1
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
6
-
-
1
=
7
3+0
8

 

 

9
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
8
-
-
6
-
-
1
6
-
-
6
-
6
-
6
1
+
=
40
4+0
=
4
=
4
=
4
-
-
-
-
8
-
-
15
-
-
19
15
-
-
15
-
15
-
15
19
+
=
121
1+2+1
=
4
=
4
=
4
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
7
7
2
-
1
7
-
9
1
-
-
3
9
-
2
-
9
-
-
+
=
57
5+7
=
12
1+2
3
=
3
`-
16
25
20
-
1
7
-
18
1
-
-
21
18
-
2
-
18
-
-
+
=
147
1+4+7
=
12
1+2
3
=
3
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
`-
16
25
20
8
1
7
15
18
1
19
15
21
18
15
2
15
18
15
19
+
=
268
2+8+7
=
16
1+6
7
=
7
-
7
7
2
8
1
7
6
9
1
1
6
3
9
6
2
6
9
6
1
+
=
97
9+7
=
16
1+6
7
=
7
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
-
-
-
-
-
-
6
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
--
7
7
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
19
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
-
-
-
19
-
97
-
44
1+9
-
-
-
-
1
-
-
-
1
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1+9
-
9+7
-
4+4
=
-
-
-
-
-
-
6
-
-
-
6
-
-
6
-
6
-
6
-
-
-
-
-
-
10
-
16
-
8
10
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
45
-
-
1+0
-
1+6
-
-
1+0
7
7
2
8
1
7
6
9
1
1
6
3
9
6
2
6
9
6
1
-
-
4+5
-
-
=
-
=
-
=
1
P
Y
T
H
A
G
O
R
A
S
O
U
R
O
B
O
R
O
S
-
-
6
-
-
1
=
7
3+0
8

 

 

Ouroboros - Wikipedia, the free encyclopedia - 8:55am
The Ouroboros often represents self-reflexivity or cyclicality, especially in the sense of something constantly re-creating itself, the eternal return, ...

Historical representations - See also - References - External links
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-
OUROBOROS
-
-
-
2
O+U
36
9
9
1
R
18
9
9
3
O+B+O
32
14
5
1
R
18
9
9
2
O+S
34
7
7
9
OUROBOROS
138
48
30
-
-
1+3+8
4+8
3+0
9
OUROBOROS
12
12
3
-
1+2
1+2
-
9
OUROBOROS
3
3
3

 

 

-
9
O
U
R
O
B
O
R
O
S
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
6
-
6
-
6
1
+
=
25
2+5
=
7
=
7
=
7
-
-
15
-
-
15
-
15
-
15
19
+
=
79
7+9
=
16
1+6
7
=
7
-
9
O
U
R
O
B
O
R
O
S
-
-
-
-
-
-
-
-
-
-
-
-
-
3
9
-
2
-
9
-
-
+
=
23
2+3
=
5
=
5
=
5
-
-
-
21
18
-
2
-
18
-
-
+
=
59
5+9
=
14
1+4
5
=
5
-
9
O
U
R
O
B
O
R
O
S
-
-
-
-
-
-
-
-
-
-
-
-
15
21
18
15
2
15
18
15
19
+
=
138
1+3+8
=
12
1+2
3
=
3
-
-
6
3
9
6
2
6
9
6
1
+
=
48
4+8
=
12
1+2
3
=
3
-
9
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
1
=
2
=
2
-
--
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
--
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
4
=
24
2+4
6
7
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
24
9
O
U
R
O
B
O
R
O
S
-
-
21
-
-
9
-
48
-
21
2+4
-
6
-
-
6
-
6
-
6
-
-
-
2+1
-
-
-
-
4+8
-
2+1
6
9
O
U
R
O
B
O
R
O
S
-
-
3
-
-
9
-
12
-
3
-
-
6
3
9
6
2
6
9
6
1
-
-
-
-
-
-
-
1+2
-
-
6
9
O
U
R
O
B
O
R
O
S
-
-
3
-
-
9
-
3
-
3

 

 

-
9
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
6
-
6
-
6
1
+
=
25
2+5
=
7
=
7
=
7
-
-
15
-
-
15
-
15
-
15
19
+
=
79
7+9
=
16
1+6
7
=
7
-
9
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
3
9
-
2
-
9
-
-
+
=
23
2+3
=
5
=
5
=
5
-
`-
-
21
18
-
2
-
18
-
-
+
=
59
5+9
=
14
1+4
5
=
5
-
9
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
`-
15
21
18
15
2
15
18
15
19
+
=
138
1+3+8
=
12
1+2
3
=
3
-
-
6
3
9
6
2
6
9
6
1
+
=
48
4+8
=
12
1+2
3
=
3
-
9
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
1
=
2
=
2
-
--
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
--
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
24
9
O
U
R
O
B
O
R
O
S
-
-
21
-
-
9
-
48
-
21
2+4
-
6
-
-
6
-
6
-
6
-
-
-
2+1
-
-
-
-
4+8
-
2+1
6
9
O
U
R
O
B
O
R
O
S
-
-
3
-
-
9
-
12
-
3
-
-
6
3
9
6
2
6
9
6
1
-
-
-
-
-
-
-
1+2
-
-
6
9
O
U
R
O
B
O
R
O
S
-
-
3
-
-
9
-
3
-
3

 

 

-
-
-
-
-
OUROBOROS
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
48
-
9
OUROBOROS
138
57
48
-
1
2
3
4
5
24
7
8
18
-
-
4+8
-
-
-
1+3+8
5+7
4+8
-
-
-
-
-
-
2+4
-
-
1+8
-
-
12
-
9
OUROBOROS
12
12
12
-
1
2
3
4
5
6
7
8
9
-
-
1+2
-
-
-
1+2
1+2
1+2
-
-
-
-
-
-
-
-
-
-
-
-
3
-
9
OUROBOROS
3
3
3
-
1
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
OUROBOROS
-
-
-
-
1
2
3
6
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
9
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
9
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
48
-
9
OUROBOROS
138
57
48
-
1
2
3
24
18
-
-
4+8
-
-
-
1+3+8
5+7
4+8
-
-
-
-
2+4
1+8
-
-
12
-
9
OUROBOROS
12
12
12
-
1
2
3
6
9
-
-
1+2
-
-
-
1+2
1+2
1+2
-
-
-
-
-
-
-
-
3
-
9
OUROBOROS
3
3
3
-
1
2
3
6
9

 

 

THE

OUROBOROS

THAT

SERPENT I PRESENT

 

 

3
THE
33
15
6
-
OUROBOROS
-
-
-
2
O+U
36
9
9
1
R
18
9
9
3
O+B+O
32
14
5
1
R
18
9
9
2
O+S
34
7
7
-
OUROBOROS
-
-
-
12
First Total
171
63
45
1+2
Add to Reduce
1+7+1
6+3
4+5
3
Second Total
9
9
9
-
Reduce to Deduce
-
-
-
3
Essence of Number
9
9
9

 

 

-
12
T
H
E
-T
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
6
-
-
6
-
6
-
6
1
+
=
33
3+3
=
6
=
6
=
6
-
-
-
8
-
--
15
-
-
15
-
15
-
15
19
+
=
87
8+7
=
15
1+5
6
=
6
-
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
-
-
3
9
-
2
-
9
-
-
+
=
30
3+0
=
3
=
3
=
3
-
`-
20
-
5
--
-
21
18
-
2
-
18
-
-
+
=
84
7+5
=
12
1+2
3
=
3
-
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
`-
20
8
5
-
15
21
18
15
2
15
18
15
19
+
=
171
1+7+1
=
9
=
9
=
9
-
-
2
8
5
-
6
3
9
6
2
6
9
6
1
+
=
63
6+3
=
9
=
9
=
9
-
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
-
--
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
--
--
5
occurs
x
1
=
5
=
5
-
--
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
4
=
24
2+4
6
7
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
11
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
34
-
-
12
-
63
-
36
1+1
1+2
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
3+4
-
-
1+2
-
6+3
-
3+6
2
3
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
7
-
-
3
-
9
-
9
-
-
2
8
5
-
6
3
9
6
2
6
9
6
1
-
-
-
-
-
-
-
-
-
-
2
3
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
7
-
-
3
-
9
-
9

 

 

12
T
H
E
-T
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
6
-
-
6
-
6
-
6
1
+
=
33
3+3
=
6
=
6
=
6
-
-
8
-
--
15
-
-
15
-
15
-
15
19
+
=
87
8+7
=
15
1+5
6
=
6
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
-
2
-
5
-
-
3
9
-
2
-
9
-
-
+
=
30
3+0
=
3
=
3
=
3
`-
20
-
5
--
-
21
18
-
2
-
18
-
-
+
=
84
7+5
=
12
1+2
3
=
3
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
-
-
-
--
-
-
-
-
`-
20
8
5
-
15
21
18
15
2
15
18
15
19
+
=
171
1+7+1
=
9
=
9
=
9
-
2
8
5
-
6
3
9
6
2
6
9
6
1
+
=
63
6+3
=
9
=
9
=
9
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
2
-
-
-
-
--
--
2
occurs
x
2
=
4
=
4
--
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
5
-
-
-
-
-
-
-
-
-
-
--
--
5
occurs
x
1
=
5
=
5
--
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
12
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
34
-
-
12
-
63
-
36
1+2
-
-
-
-
6
-
-
6
-
6
-
6
-
-
-
3+4
-
-
1+2
-
6+3
-
3+6
3
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
7
-
-
3
-
9
-
9
-
2
8
5
-
6
3
9
6
2
6
9
6
1
-
-
-
-
-
-
-
-
-
-
3
T
H
E
-
O
U
R
O
B
O
R
O
S
-
-
7
-
-
3
-
9
-
9

 

 

Spira Solaris and the Universal Ouroboros. Spira Solaris Archytas ... - 8:52am
"Ouroboros was and is the name for the Great World Serpent, ...... Pythagoras is often mentioned in Arabic philosophy and in gnomic literature. ... www.spirasolaris.ca/sbb4f.html - Cached - Similar

PART VI. SPIRA SOLARIS AND THE UNIVERSAL OUROBOROS

--------------------------------------------------------------------------------

A. THE OUROBOROS
In general, if not universal terms, the Ouroboros may be defined as a self-sustaining, tail-eating snake, but it is clear that there is far more to the matter than this, for the concept is almost global in its distribution and evidently has far deeper meanings in many cultures. In researching the ouroborus it soon became apparent that a number of people had not only concerned themselves with the topic, they had also placed their understanding of it on the Internet. The graphical representations and insights below are all from this rapidly expanding resource.

Fom left to right, the first Ouroboros is one of the better known examples, which according to the source (Chris McCoy) was from: "The Chrysopoeia ('Gold-Making') of Cleopatra during the Alexandrian Period. The enclosed words mean ' the all is one.'" The same source also explains that: "In the above drawing, from a book by an early Alchemist, Cleopatra, the black half symbolizes the Night, Earth, and the destructive force of nature, yin. the light half represents Day, Heaven, the generative, creative force, yang. Alchemically, the ouroboros is also used as a purifying glyph ...The 'tail-devourer' is the symbolization of concepts such as completion, perfection and totality, the endless round of existence, etc. It is usually represented as a worm or serpent with its tail in its mouth."
The second example and the following expansion on the topic is by Chris Aynesworth (The World Tree) "Of The Androgyne: The Serpent Ouroboros."

"Ouroboros was and is the name for the Great World Serpent, encircling the earth. The word 'Ouroboros' is really a term that describes a similar symbol which has been cross-pollinated from many different cultures. From "Ouroboros," there is the serpent or dragon gnawing at its own tail. The symbolic connotation from this owes to the returning cyclical nature of the seasons; the oscillations of the night sky; self-fecundation; disintegration and re-integration; truth and cognition complete; the Androgyne (see below); the primaeval waters; the potential before the spark of creation; the undifferentiated; the Totality; primordial unity; self-sufficiency, and the idea of the beginning and the end as being a continuous unending principle. It represents the conflict of life as well in that life comes out of life and death. 'My end is my beginning.' In a sense life feeds off itself, thus there are good and bad connotations which can be drawn. It is a single image with the entire actions of a life cycle - it begets, weds, impregnates, and slays itself, but in a cyclical sense, rather than linear. Thus, it fashions our lives to a totality more towards what it may REALLY be - a series of movements which repeat. "As Above, So Below" - we are born from nature, and we mirror it, because it is what man wholly is a part of.
Born from this symbolic notion, there are many different cultures which share this great dragon-serpent symbol (the serpent Jormungandr, from the myth of Yggdrasil, is just one). There are some cultures that see the image as not being beneficial, but evil - like Satan. These more specific re-interpretations will be spoken of later.
It is of interest to mention that a symbol such as that of the Ouroboros is something which Carl Jung refers to as an archetype; it seems to makes its way into our conscious mind time and time again in varying forms. The 19th century German chemist named Kekule dreamed of a snake with its tail in its mouth one day after dosing off. He had been researching the molecular structure of benzene, and was at a stop point in his work until after waking up he interpreted the dream to mean that the structure was a closed carbon ring. This was the breakthrough he needed.
There is another mention of the Ouroboros laying at the edge of "the sea which surrounds the world," called Pontus. The Ouroboros encircles the Universe; everything known and unknown is encompassed in its embracing coils, supporting and maintaining the earthly balance. It injects life into death and death into budding life. Its form suggests immobility with its locked jaws upon itself, yet at the same time it pushes the insistent message of perpetual movement through its twined coils. The first clues to this symbol go back as far as 1600-1700 BC in Egypt. Through the years the serpent moved on to the Phoenicians and the Greeks-who were what gave it the name "Ouroboros." The Greek translation means, "tail eater."
It has a strong relation to what is known as the Androgyne. The androgyne is the united male and female principles together. This is the prime primordial end to human endeavor, the reunion which births totality and creation. It is not unlike the idea of androgyny, which is a duality complete. "A return to wholeness."
The third is apparently an Aztec Ouroboros (with proportions that even Hermes would have found pleasing) originally from: Project Ouroborus at the University of Minnesota, which has a large and diverse selection of these impressive archtypes. The following commentary from this source links with what has already been said and also adds further points of interest:
This symbol appears principally among the Gnostics and is depicted as a dragon, snake or serpent biting its own tail. In the broadest sense, it is symbolic of time and the continuity of life. It sometimes bears the caption Hen to pan - 'The One, the All', as in the Codex Marcianus, for instance, of the 2nd century A.D. It has also been explained as the union between the chthonian principle as represented by the serpent and the celestial principal as signified by the bird (a synthesis which can also be applied to the dragon). Ruland contends this proves that it is a variant of the symbol for Mercury - the duplex god. In some versions of the Ouroboros, the body is half light and half dark, alluding in this way to the successive counterbalancing of opposing principls as illustrated in the Chinese Yin-Yang symbol for instance. Evola asserts that it represents the dissolution of the body, or the universal serpent which (to quote the Gnostic saying) 'passes through all things'. Poison, the viper and the universal solvent are all symbols of the undifferentiated-of the 'unchanging law' which moves through all things, linking them by a common bond. Both the dragon and the bull are symbolic antagonists of the solar hero. The Ouroboros biting its own tail is symbolic of self-fecundation, or the primitive idea of a self-sufficient Nature - a Nature, that is which, à la Nietzsche, continually returns, within a cyclic pattern, to its own beginning. There is a Venetian manuscript on alchemy which depicts the Ouroboros with its body half-black (symbolizing earth and night) and half-white (denoting heaven and light).
Continuing in the same locale and context, Solar Architect Dennis Holloway more than twenty years ago defined the Ouroboros as: ".. the ancient Greek mythical serpent that survived by devouring itself." He also linked the Ouroboros with the following quotation from Plato's Timæus:
"It had no need of eyes, for there was nothing outside it to be seen; nor of ears, for there was nothing outside to be heard. There was no surrounding air to be breathed, nor was it in need of any organ by which to supply itself with food or to get rid of it when digested. Nothing went out from or came into it anywhere, for there was nothing. Of design it was made thus, its own waste providing its own food, acting and being acted upon entirely with and by itself, because its designer considered that a being which was sufficient unto itself would be far more excellent than one which depended upon anything." from Timaeus, (33 -The Construction of the World)
The fourth ouroboros is from Alciato's Book of Emblems and the Memorial Web Library at Memorial University of Newfoundland. The latter source also provided the fifth example (Emblem 2.40) and the following amplification:
Emblem 2.40 from George Wither's A Collection of Emblemes, Ancient and Moderne (London, 1635), page 102. A demanding poem to read on a screen. The plate was engraved by Crispin de Passe and son, and was first used in Gabriel Rollenhagen's Nucleus emblematum selectissimorum, quae Itali vulgo impresas vocant ... (Arnhem and Utrecht, 1611-13). The Greek running around the picture (aionion kai proskairon) means something like "timeless, and timely." In a later emblem (3.23) Wither explains further the snake swallowing its tail (ouroboros):
Old Sages by the Figure of the Snake
Encircled thus) did oft expression make
Of Annual-Revolutions; and of things,
Which wheele about in everlasting-rings;
There ending, where they first of all begun ..
... These Roundells, help to shew the Mystery
of that immense and blest Eternitie,
From whence the CREATURE sprung, and into whom
It shall again, with full perfection come ...
The sixth, a more ornate dragon-like example, is one of twelve emblems discussed in detail by Adam Mclean in terms of psychological and alchemical symbolism. (A Threefold Alchemical Journey Through the Book of Lambspring). As Mclean leads up to the latter example, he explains that:
The first layer of five emblems deal with the different facets of polarities in our inner world.
The second emblem shows a different aspect to polarities in the fight between the inner dragon and an armed knight (a St George figure) in the Forest of the Soul. In this emblem there is a sense that the polarities must struggle to overcome each other.
Next in Emblem 3 we have the beautiful picture of the meeting in a clearing in the forest of a magnificent Stag and a graceful Unicorn. The Stag as a symbol is often associated with the Sun and the Unicorn is usually linked with the Moon. These polarities are to be coupled together through the alchemist's work.
Next, in Emblem 4, the polarities are seen in their manifestation as masculine and feminine, pictured here in the meeting of Lion and Lioness. We note how they raise their opposite paws (Lion - right, Lioness - left) mirroring the posture of the Stag and Unicorn in the previous emblem.
The fifth emblem, which completes this part of the sequence shows the wild Wolf and the tamed Dog fighting for supremacy. These polarities are further linked in the verse with the directions West (Dog) and East (Wolf). Thus we can see that the first five emblems show us different ways in which the polarities appear in our inner world. The dynamically opposed though balanced way of the two fishes, the battling of the Dragon and Knight elements, or Wolf and Dog, and the meeting and relationship indicated in the Stag-Unicorn and Lion-Lioness emblems.
The next five emblems seem to indicate different ways in which we must inwardly work to unite these polarities in our beings.
Emblem 6 is a clear statement of the Ouroborus, the serpent dragon that siezes its own tail and unites these polarities in forming its circle in the Soul.
The next example (7 and 8) and following description:
"The symbol Ouroboros, a snake or dragon biting its own tail, engraved on a bronze receptacle from the Chou dynasty, China about 1200 B.C. The Ouroboros symbolizes the continuity of life, and intimates that each ending in a perpetual renewal corresponds to a new beginning. A suitable symbol for the life cycle philosophy"
were made available on the Internet by the Swedish Engineering concern ivf/ep (The Symbol Ouroboros.) while another representation of the ouroborus serves as the logo of the J.R. Ritman Library (Bibliotheca Philosophica Hermetica Site) in the Netherlands.
These are but a few representations of the Ouroboros; there are many others, some more ornate, some less, and many in more complex configurations, especially in the alchemical context. Moreover, as Jack Lindsay explains in The Origins of Alchemy in Græco-Roman Egypt, (1970, pp.267-268):1

Ideas about the Ouroboros found their way into the literary world, e.g., in Artemidoros and Acrobius. The former, in his dream-book, remarks that 'the dragon also signifies Time because it is long and undulant.' The latter declares the two-headed Roman god Janus is the world:
'that is, the heavens, and his name Janus comes from eundo [by going] since the world always goes rolling on itself in its globe-form ... So the Phoenicians have represented it in their temples as a dragon curled in a circle and devouring its tail, to denote the way in which the world feeds on itself and returns on itself ...

"It is also clear that it's the Sun honoured under the name of Mercurius [Hermes] according to the cadeuceus that the Egyptians have consecrated to the god in the figure of the Two Serpents, male and female, interlaced. Their upper extremities bend round together, and, embracing one another, form a circle, while the tails, after forming a knot, come together at the haft of the caduceus and are provided with wings that start off at this point.
Even more interesting is the passage that ends the second book of Claudian's poem, On the Consulship of Stilicho. Claudian came from Egypt and his imagery shows the Egyptian idea of the night-journey of the sun through the cave or tunnel in the earth. But the introduction of the Ouroboros in association with Natura (Physis), the various metals, and the Aged Seer strongly suggests one of the alchemic visions of revelation or initiation:

Far off, unknown, beyond the range of thought,
scarce reached by gods, the years' rough haggard mother,
stands a primeval Cave in whose vast breast,
is Time's cradle and womb. A Serpent encloses,
the Cave, consuming all things with slow power,
and green scales always glinting. Its mouth devours,
the backbent tail as with mute motion it traces,
its beginning. At the entrance Nature sits,
the threshold-guardian, aged and yet lovely,
and round her gather and flit on every side
Spirits. A Venerable Man writes down
immutable laws. He fixes the number of stars
in every constellation, makes some of them move and others hang at rest.
So all things live or die by predetermined laws...
When the Sun rested on the cave's wide threshold,
Nature ran in her might to meet him; the Old Man bent
grey hairs to the proud rays. Of its own accord
the admantine door swung open, revealing
the huge interior, displaying the House
the Secrets of Time. Here in appointed places
the Ages dwell, with varying Metals marking
their aspect. Those of brass are there upheaped,
there stiff the iron, there the silver gleaming;
shy of earth-contacts, in a distinguished section,
is set the flock of golden years."
From the above descriptions and the widespread occurrence of this Jungian archtype in both time and place it is also apparent that the Ouroboros embraces cyclic regeneration, rebirth, and the very foundations of life itself.

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B. SPIRA SOLARIS, ALCHEMY, AND EGYPT
The antiquity, complexity, and the wider presence of the Ouroboros in mythological contexts is discussed further in the following passage (Towards a Taxonomy of the Pure Ones Parallels within Gnosticism, Graeco-Roman Mythology and Hermeticism by Frater IAM, Magister Templi of the Ordo Rosae Crucis, 1994):
The next aeon, usually called the Aeon of Jupiter or Zeus, was created from Chronos and rebelled against it. The Greek Myth tells us that Chronos feared that his children would one day rebel as he had rebelled against his father, so he ate them. This could correspond to a will to stop the descent into matter by closing himself into an Ouroboros, the snake biting its own tail and incidentally also a symbol for the death/rebirth so intimately linked with Time. But this was broken by the stone Abadir (also called Baetylus) given to him by Rhea (who could in fact have been Ialdabaoth!), which he devoured instead of his son, who eventually defeated him. It is interesting to speculate if this stone is not the original archetype of the Holy Grail (which has been alternately described as a cup, a stonelight by different mystics) or the Philosophers Stone, which has the ability to open up the Ouroboros or close it". [emphasis supplied]

Here the speculation concerning the Ouroboros extends to embrace the philosopher's Stone, with the intriguing suggestion that the two are in a special relationship, one that points again to the subject of Alchemy.
In Section IV we have already examined the inter-related natures of the periods, distances and velocities pertaining to the Phi-series period spiral and the manner in which the outer and inner regions may be considered to feed back on one another. We have also touched upon the similar type of feedback inherent in the inverse-velocity phenomena evident in the modern Solar System and briefly considered the complications that arise from periodic variations in planetary motion in Section III. But there are additional themes running throughout all this with strong religious and biological undertones that link the whole with the Sun and its undoubted influence on life as we understand it. But to what exact degree such complexities and consequences were known and understood in the earlier period and the Middle Ages has still to be fully assessed. It would seem that great pains were taken to ensure that it was passed on, hence the multiplicity of methods, keys and approaches adopted - so much so, in fact that partial confusion may well have been an inevitable consequence. To this problem must also be added the waxing and waning of empires, changing religious beliefs, and the consequences of the Dark and Middle Ages. Perhaps it was originally intended that all roads should indeed lead to Rome - a location unfortunately rendered untenable by Roman degeneration and excesses which forced the disastrous relocation to Constantinople. In any event it would seem that it was not until the Middle Ages that the matter resurfaced, perhaps not entirely intact, but sufficiently coherent enough for its understanding among those who avidly studied the writings of the ancients. The resurgence of "Alchemy" in the Middle Ages on the other hand may have had both ancient origins and modern insights. Here again, Thomas Taylor supplies the linkage and incidentally the humour:2
They say, therefore, conformably to Cephalus, that the rich have many consolations.... if you are willing also, it may be said, that gold and silver, and each of the metals, as likewise other things, grow on earth, from the celestial Gods, and from an effluxion thence derived. It is said, therefore that gold pertains to the Sun, silver to the Moon, lead to Saturn, and iron to Mars. Hence these are generated from thence. But they subsist in the earth,. and not in the celestial Gods who emit the effluxions. For they do not receive anything from material natures." [Commentaries of Proclus on the Timæus of Plato, Book I, p. 36. (emphasis supplied)]
The references linking gold with the Sun, silver to the Moon, lead to Saturn, and iron to Mars are all clearly alchemical, even for those with only a passing knowledge of the subject. In more detail, however, it seems that one could present an argument that there was always more than the unlikely transformation of base metals into physical gold at stake here. In fact, a sound mathematical case can undoubtedly be made from extant writings that it was predominantly the "Golden" Section itself - the phi-based mean period of Mars and also the mean velocity of Mercury - in something akin to our present astronomical context that was always under consideration (e.g., mathematical transformations involving the black "lead" of Saturn, the "Tin" of Jupiter, the synodic "Oil" of "Antimony" and parameters pertaining to Mercury, Venus and Mars as discussed below). From this viewpoint, if "The Great Work" of the Alchemists was indeed essentially the preservation of a complex corpus of knowledge concerning the Sun and the structure of the Solar System, then the description is both apt and well-merited. And it is also a far more fitting and reasonable occupation for highly regarded scholars such as Francis Bacon, Robert Boyle and Sir Isaac Newton who (among others) became involved in this seemingly dubious enterprise.
It is not the intention here to discuss the multifarious aspects of Alchemy in detail, the subject is simply too vast and too complex for the present discourse. But to give some idea just how complex the matter can become, consider the following line of inquiry and where it ultimately leads, i.e., it is relevant to note that the erudite Thomas Taylor's comments concerning the construction of the universe in Plato's Timæus (33b) have some similarity with helpful (but equally cryptic) remarks provided near the end of an alchemical work (ca.1600 A.D.) entitled: The Twelve Keys of Basil Valentine. Thus Thomas Taylor states:3

It is well observed here by Proclus that, the whole universe being luminous, it is most lucid according to its external superficies, and full of divine splendour... But of this luminous subsistence smoothness is a symbol. Why, therefore, are the extremities of the universe smooth? We reply, That it may be harmoniously adapted to supermundane lights, through similitude to them. Smoothness, therefore, is significant of extreme aptitude, through which the universe is able to receive the illuminations proceeding from intellect and soul; just as mirrors, by their smoothness, receive the representations of things. Proclus further observes that a mirror was assumed by ancient theologists as a symbol of the aptitude of the universe to be filled with intellectual illumination. Hence, says he, they say that Vulcan made a mirror for Bacchus, into which the God, looking and beholding the image of himself, proceeded into the whole divisible fabrication. And you may say that the smoothness of the external surface of the universe, which is mentioned by Plato, reminds us of the above-mentioned catoptric apparatus." [emphasis supplied]
while "Basil Valentine" adds in The Twelve Keys :
As a parting kindness to you, I am constrained to add that the spirit may also be extracted from black Saturn and benevolent Jupiter. When it has been reduced to a sweet oil, we have a means of robbing the common liquid quicksilver of its vivacity, or rendering it firm and solid, as is also set forth in my book. [emphasis supplied]
The similarity lies in the mirroring of numeric values associated with the extremal locations of the planets Mercury and Saturn, i.e., the phi-series mean velocity for the synodic difference cycle between Jupiter and Saturn provides the value of 0.3819660112 which also occurs as the mean distance of Mercury and again as the mean synodic period between the latter and Venus (see Table 5a in Part IV for the complete relationship).
To understand the above it is necessary to recognize that the first astronomical parameters normally obtained from the observation of the planets and major luminaries are the periods of revolution. Subject to further observation and refinement, a planetary model and estimates for both the mean distances and the mean velocities may (or may not) follow. In the second context we are dealing with material that post-dates both the heliocentric model of Copernicus and the publication of Kepler's Harmonic Law (1618). We also know from the fundamental synodic period relationship given in Section Two that the intermediate mean synodic period (or mean lap time) for adjacent co-orbital bodies is obtained from the product of the mean sidereal periods divided by their difference. From the Phi-series mean periods for Jupiter and Saturn of 11.090169944 and 29.034441854 years respectively we therefore obtain an intermediate mean synodic period of: 17.944271910 years. The resulting period, the Harmonic Law (exponent = 2/3) and the velocity variant (exponent = -1/3) respectively produce a corresponding mean distance of 6.854101966 A.U and a mean relative velocity of 0.3819660112, the latter as noted above. Table 1 below provides the numeric data and a simple cipher that connects the "Period-Distance-Velocity" and "Soul-Body-Spirit" triads in the present context.


POSITION Planet/Synodic Phi N PERIOD "SOUL" DISTANCE "BODY" VELOCITY "SPIRIT"
MERCURY - 3 0.23606797 0.38196601 1.618033988
Synodic/(Oil) - 2 0.38196601 0.52644113 1.378240772
VENUS/Copper - 1 0.61803398 0.72556263 1.173984996
Synodic/Earth 0 1 1 1
MARS/Iron 1 1.61803398 1.37824077 0.851799642
(Asteriod Belt)

JUPITER/Tin 5 11.0901699 4.97308025 0.448422366
Syn./Antimony 6 17.9442719 6.85410196 0.381966011
SATURN/Lead 7 29.0344418 9.44660278 0.325358511

Table 1. The Phi-Series Planetary Framework, Mercury through Mars, and Jupiter
to Saturn. Unity provides the frame of reference, "Gold" = Phi = 1.6180339887499

In keeping with the hint provided by Thomas Taylor and Proclus ("Vulcan made a mirror for Bacchus, into which the God, looking and beholding the image of himself, proceeded into the whole divisible fabrication"), if one is aware that the mean period of Mercury is approximately 0.24 years and that Phi - 3 is 0.23606774 (years) the Harmonic Law yields the mean distance for Mercury from: (Phi- 3) 2/3 = Phi - 2 with the mean velocity similarly obtained from (Phi - 3) - 1/3 = Phi.1 This is perhaps looking at the matter in reverse (the mirror image, if you wish); one could also proceed forward from Table 1 to obtain both the harmonic law and the velocity variants from another direction altogether, but either way the reference to mirrors appears to be singularly appropriate as well as helpful. In passing one might also note that the mirror analogy includes the equality between the mean period ("Soul") of Mercury and the mean velocity ("spirit") of the next outer planet, Uranus; i.e., a mean sidereal period of 0.2360679774 Years in the first instance and a mean orbital velocity (relative to unity) of 0.2360679774 in the second. Unlikely, perhaps, but not entirely improbable, for in spite of its relatively recent discovery (by William Herschel in 1781), as Jeffrey K. Wagner observed in Introduction to the Solar System (Holt, Rinehart and Winston, Orlando, 1991:334) "Uranus is just bright enough to be visible to the naked eye, and it is surprising that it escaped detection for so long. Even a sharp eyed ancient Greek astronomer could have spotted it... 4

Those who balk at the inclusion of planetary velocities in the above context in general might wish to consider Thomas Taylor's translation of the commentary by Proclus on "The Construction of the World Soul" (Book III: The TIMÆUS OF PLATO): 5

He first took one part from the whole. In the next place he took away the double of this.
And after this, a third part, which was sequialter indeed of the second, but triple of the first. [Timæus, 35b:]
We have observed, that it is not proper to understand what is here said by Plato, mathematically, but physically, or philosophically. For the essence of the soul, does not consist of mathematical numbers and ratios, but all these numbers and ratios, adumbrate its truly existing essence, and the demiurgic and vivific divisions in it. But of what things the mathematical ratios are images, and how they develop the essence of the soul of the universe, it is not easy for those to assign, who do not look to the conceptions of Plato. But this is manifest from the discord of the interpreters; and the opposition of the modern to the more ancient expositors, evinces the difficulty of this theory. For some of them think fit to refer to the seven spheres, the first seven terms, to which we have assumed as analogous the numbers that exhibit the whole diagram. But others refer them to the distances of the spheres from the center of the earth, in which place they arrange the monad. Others again, refer them to the motions of the spheres. [Others the magnitudes of the stars. And others adapt them to the velocities of the celestial orbs.] But others, refer them to other such like explanations. Their interpretations, however, are attended with many difficulties, and among the rest with this, that they are discordant with the observations of recent astronomers, and to the demonstrations given by them. To which it may also be added that Plato nowhere defines, either the magnitude, or the distance, or the swiftness, or the motion of the stars; but admitting that one star is greater than another, he does not add how much, and after what manner, it is greater. And that the thing proposed by him to be discussed in this part is psychogony, and not cosmogony {hereafter follows a discussion of various interpretations, etc,}. [Vol II, Book III, pp. 89-90; emphases supplied].
The part that refers to "magnitudes" and "velocities" (included by Thomas Taylor in square brackets) is from the obscure writings of Nicholæus Leonicus Thomæus.
The triadic sets: Period/Distance/Velocity and Soul/Body/Spirit represent a specialized application of what appears to have been a wider comprehension of the nature of the Soul. Proclus, for example, tells us [The Commentaries of Proclus on the Timeus of Plato, transl. Thomas Taylor, Kessinger Books, Kila, pp.115-118; the emphases are also Thomas Taylor's]: 6

... we may say, that a line is adapted to the soul. For intellect indeed, though some should give it motion, yet it has this energy intransitive. For it surveys at once the whole of the intelligible, having an eternal life, and energizing about the same things, in the same nature, according to the same. But soul possesses a transitive energy. For at different times, it applies itself to different forms, and this is true even of the soul of the universe. For, as Plato says in the Phaedrus, it is the peculiarity of soul to energize through time. But every transitive motion is a line. For it has whence and whither, and the rectilinear, and one thing for the beginning, and another for the end. So that in this respect we refer a line to psychical life.
... In what is said, therefore, about the admixture of the soul, and also in what is said concerning numbers and middles, Plato unfolds the being itself of the soul, and shows how it is one and many, what progression it has, and what regressions both to superior natures, and to itself; how it produces and converts things posterior to itself; how it fills ratios, and binds together the whole world. But in what he says concerning the right line and circles, he delivers to us the vital and intellectual peculiarity of the soul, and indicates how it participates of the life in intellect, and how it is converted to itself, so far as it is self-vital and self-moved.
...In short therefore, the essence of the soul, being a whole and consisting of parts, is harmonized number. But its life is rectilinear, and is uniform and biformed.. And its intellect is dianetic and doxastic. For there are in it being, life, and intellect. Or rather prior to the gnostic, perceiving that the vital powers are in themselves at one and the same time transitive, and self-motive, we must say, that the right line adumbrates the transitive, but the circle, the self-motive nature of these powers. For they are moved from themselves to themselves. Hence Timeus delivering to us in what is here said, the vital motion by itself alone, assumes the rectilinear, and the circular motion, but in what follows unfolds the gnostic motions of the circles; the soul now becoming self-motive, in consequence of the whole of it moving itself. If therefore, we now admit that the right lines are lives, and these essential; on which account also, the Demiurgus made the composition of the soul itself to be rectilinear, as possessing life by its very existence;--if we admit this, then we must say, that the circle manifests what the quality is of the form of this life, viz. that it is self-moved, beginning from, and returning to itself; and that it is not like the life of irrational natures, tending to externals as it were in a right line, as never being able to converge to itself, and as having an appetite directed to other things placed externally to itself. For the self-motive nature is moved from itself to itself, sees itself, and is present with itself. Hence also, such a form of life as this is circular. For in a circle, the same thing is the end and the beginning, in the same manner as in that which is converted to, begins from, and ends in itself. The right line therefore and the circle of the soul, are without interval; the former being the image of life [simply], but the latter of life converting to itself, and not absolutely of all life. For both these may be surveyed in souls; the right line indeed, according to the transitions of appetites; but the circle according to a circumduction from the same thing to the same. And this Socrates knowing, says in the Phaedrus, that souls are carried round in a circle, revolving under intelligibles as objects of desire, being at different times happily affected by different things, and returning from the same objects to the same. Why therefore, should we any longer fear those skillful Peripatetics who ask us, what kind of line Plato here assumes ? Is it physical line ? But this would be absurd: for this is the end of bodies. Is it then a mathematical line ? But this is not self-motive, and is not essence: Plato however says, that the soul is an essence, and is separate from bodies. We say therefore, that they in vain make these inquiries. For long before this, we have not ceased asserting that this line is essential. And prior to us Xenocrates calls a line of this kind indivisible. For it would be ridiculous in any one to think that there is an indivisible magnitude. It is evident however, that Xenocrates thought it requisite to call the essential reason of a line an indivisible line. But Plato, for the sake of concealment, employed mathematical names, as veils of the truth of things, in the same manner as theologists employed fables, and the Pythagoreans symbols. For it is possible in images to survey paradigms, and through the former to pass to the latter. Against such men however, as these Peripatetics, who are contentious, no arguments are sufficient. But let us return to the words of Plato, and direct our attention to each of them.
Since therefore, the soul is one, is divided according to its parts, and is both one and many, Plato denominates it this, as being one, but all, as being multitude, and composition, as both; which also shows that the essence of it differs both from things discrete, and things continuous. For these are without communion with each other. But the soul is one, and at the same time multitude, and is discrete, and continued. Since however the psychical reasons are biformed; for the soul is of an ambiguous nature, and has two faces, conformably to its paradigm, so that it intellectually perceives the impartible essence through the circle of the same, but contains and connects the partible essence, through the circle of the different; --hence Plato calls it double. But because it has the same reasons or ratios, above and beneath, and not as some fancy, the duple ratios here, but the triple there, on this account, he delivers it to us divided according to length. For this division alone, preserves every where the same ratios. But the scission itself exhibits demiurgic section, which is appropriate to the Demiurgus. For the duad is seated by him, and is refulgent with intellectual sections, as some one of the Gods says. Moreover, the words "middle to middle" indicate perhaps, that the division and contact of things intangible, are adapted to the psychical middle: for they subsist in a middle way. For in intellect also there is division, because there is difference, but it subsists primarily, and as it were occultly, and indivisibly. In sensibles likewise there is division, but according to an ultimate distribution into parts. Hence also the union in these is obscure and evanescent. But in the soul both have a middle subsistence, in a way adapted to it. And if indeed Plato had spoken concerning intellect and soul, he would have said, that the Demiurgus applied the.first to the middle, and if about body and soul, that he applied the middle to the last. But since he teaches us concerning the psychical duad, lie says that the Demiurgus applied middle to middle. Perhaps too, he says this, because the contact of the soul is properly of a middle nature. For the last part of the dianoetic. and the summit of the doxastic power, form tile media of all tile psychical composition. But these are conjoined to each other, and conformably to these, one union is produced of these two lives. For in every order of beings, the bases of first are united to the summits of secondary natures. The figure X however, produced by this application, has a great affinity to the universe, and also to the soul. And as Porphyry relates, a character of this kind, vis. X, surrounded by a circle, is with the Egyptians a symbol of the mundane soul. For perhaps it signifies, through the right lines indeed, the biformed progression of the soul, but through the circle its uniform life, and regression according to an intellectual circle. We must not however conceive, that Plato thought a divine essence could be discovered through these things. For the truth of real beings cannot, as some fancy, be known from characters, positions, and vocal emissions. But these are after another manner symbols of divine natures. For as a certain motion, so likewise a certain figure. and colour, are symbols of this kind, as the initiators into mysteries say. For different characters and also different signatures are adapted to different Gods; just as the present character is adapted to the soul. For the complication of the right lines indicates the union of a biformed life. For a right line itself also, is a symbol of a life which flows from on high. In order however, that we may not, omitting the things themselves, be too busily employed about. the theory of the character, Plato adds "as it were," indicating that this is assumed as a veil, and for the sake of concealment, thus endeavouring to invest with figure the unfigured nature of the soul.
Returning to the relative simplicity of the triadic sets in question, with respect to both inferior planets (Mercury and Venus), Earth, and Mars it should be noted that the mean velocity (or "Spirit") of Mercury is itself the "Golden Ratio" Phi = 1.6180339887499 while the inverse (0.61803989 ) represents the mean period of revolution of Venus. Lastly, Phi (1.618033989) is in turn the mean period of revolution of Mars. These special inter-relationships are stated (albeit cryptically) in further alchemical works, i.e., The philosophical canons of Paracelus in the 17th Century Sloane Ms 3506, and An hundred aphorisms containing the whole body of magic, in Sloane Ms 1321 (both transcribed by Adam Mclean). In the first, bearing in mind the relationship between the two triadic sets, "Gold," Mars, and Mercury, we find the following aphorisms:
12. The sulphur of Mars is the best, and this joined with the sulphur of gold makes a medicine.
14. Nature makes and generates minerals by degrees, also out of one root are generated all metals till the end of all which is gold.
39. The Sulphur is the soul, but the Mercury is the matter.
49. They who take the Sulphur of Venus are cheated.
56. The Mercury receives the form of gold by the mediation of the spirit.
57. Gold resolved into Mercury is spirit and soul.
145. The highest secret of all is to know that Mercury is both matter and Menstruum, and that the Mercury of perfect bodies is the form.
152. The greatest arcanum of the work, is the physical dissolution into Mercury, and reduction into Mercury.
Aphorism 14 is undoubtedly correct as far as the Phi-series planetary framework is concerned since all the mean parameters (periods, distances and velocities) may be consistantly expressed as fractional exponents of Phi as shown earlier in Table 5a. Moreover, in so much as the period/soul of Venus is both Phi -1 and the reciprocal of Phi Aphorism 49 also quite appropriate. Aphorism 56 is correct. Aphorism 57 provides a succinct summation of the relationship between the velocity/spirit of Mercury and the period/soul of Mars as shown in Table 1.
The second reference is divided into three parts with the first concerned with "Twelve conclusions upon the Nature of the Soul ". Statements 1 through 11 are from this source; the remainder are from additional sections:

1. The whole world is animated with the first supreme and intellectual Soul possessing in itself the seminary reasons of all things, which proceeding from the brightness of the ideas of the first Intellect are as it were the instrument by which this great body is governed and are the links of the golden chain of providence.
2. While the operations of the Soul are terminated or bounded, the body is generated or produced out of the power of the Soul, and is diversely formed according to the imagination thereof, hence it hath the denominating power over the body which it could not have except the body did fully and wholly depend upon it.
3. In this production whilst the Soul fashions to itself a body, there is some third thing the mean between them both by which the Soul is now inwardly joined to the body, and by which the operation of all natural things are dispensed, and this is called the Vital Spirit.
9. This Spirit is somewhere or rather every where found as it were free from the body, and he that knows how to join it with a body agreeably, possesses a treasure better than all the riches of the world.
11. The organs by which this Spirit works are the qualities of things, which merely and purely considered are able to do no more than the eyes can see without life, as being nothing else but modification of the matter of the body.
15. Neither Souls nor pure Spirits, nor Intelligences can work upon bodies but by means of this Spirit, for two extremes cannot be joined without a mean ...
18. In generation the Spirit is mixed with the body, and directs the intent of Nature to its end.
64. By natural application it is done when the Spirit of one body is implanted in another, by means of those things which are apt to intercept the Spirit, and to communicate it to another, and they are known by the signature, and by the ancients called amatoria or such things as love one another. [emphases supplied]
Before returning to "antimony," it is clear from Table 1 that "Gold" ( Phi,1.6180339887499), the mean velocity of Mercury, and the mean period/soul of Mars ("iron") are identical. This relationship may well have provided the basis for the allegorical "War of the Knights" by Johann Sternhals (1595) concerning the resolution of the "conflict," i.e.,.

"The Lord Chief Justice pronounced sentence to the quarreling and disputing metals, introduced in this Allegory by Sternhals as so many Knights. The Judge's name was Mercury."
Mercury says to Gold:
'Whilst Thou, O Gold, as plaintiff against Iron, appeal to me concerning thy nobility and nature, and as I am well acquainted with thy origin but am likewise no stranger to the nature, property, and operation of the defendant Iron, I can, for the sake of truth and justice, not omit to declare that you have both boasted of great things, which none of you separately can verify. Thou, Gold, knowest well if I Mercury do not deal kindly with thee and unite with thee in perpetual love and harmony, that thy power over the diseased Knights (the inferior metals) is nothing! Thou hast mentioned my perfect knowledge of thy exalted state amongst the Knights. Thou hast spoken rightly, because thy nature and power proceed from mine (from the Sophic or animated Mercury). Thy nature must be retrograded and converted into mine, if thou meanest ever to be of any service to the diseased poor knights.'
'Thou, Defendant, O Iron, knowest well that I do perfectly understand thy nature and complexion Thou canst much less than Gold effect anything useful without my assistance; and I, Mercury, am a declared enemy to thy external dirty appearance and thy dirty works. Therefore, I complain justly against you both!'
'Yet, from a motive of special goodness and friendship towards my fellow-creatures, I will never refuse to grant to thee, O Iron, a power to procure riches, and I have often given thee that power, as thou well knowest when thou and I did sweat in our hot bath and dried ourselves afterwards. Recollect then what friendship and services we rendered to Lady Luna, which we are able to do again, if we please. Which, however, thou canst not do without my assistance. I must further tell you both (Iron and Gold) that you stand both in need of my counsel and help, whilst I can do with very little of your assistance.'
'Thou, Gold, hast said that thou art the true Stone, about which the Philosophers contest. Dost thou not know that there are greater, nobler, and more powerful subjects than thee? and all other metals containing the four elements as well as they do. Dost thou not know that there is a mother of all metals and their greatest substance? All things have been subdued unto man! and thou haughty Gold do not elevate thyself too much, as there are creatures of God far above thee in power and virtue!'
'I then,' continued the supreme Lord, Mercury, 'unite you both, Iron and Gold, with a perpetual union.'
'Thou, Gold, shalt henceforth not vex nor despise Iron, but I order thee to make good use of its noble beautiful red flowers (when a crocus Mars is sublimated with Sal Ammoniac, it ascends in beautiful red flowers - this must be repeated three or four times) which Iron has got in his garden for the sake of multiplying thy active power. Thou shalt unite with Iron in friendship.'
'And thou, Iron! I order thee to accept and make use of the sweet heaven or ferment of Gold for thy good and nourishment.'
And thus they departed, united in friendship to be of use to all that knew them. [ Sigismund Backstrom's embedded notes are omitted for clarity]
With respect to alchemical "metals" in general, "Antimony" also looms large - a "metal" that in fact attracted Isaac Newton's attention (see: Newton And Flamel On Star Regulus Of Antimony And Iron Part 1, by Mark House and also the numeric relationship between "Iron" and "Antimony" in the Biblical Aesch-Mezareph). In such contexts it would appear that there were two types of "Antimony," the first (in the positional and also the numerical sense) between the "Iron" of Mars and the "Tin" of Jupiter, and the second ("Saturnine Antimony") similarly positioned between the "Tin" of Jupiter and the "Lead" of Saturn, i.e., the Jupiter-Saturn synodic cycle, or as Basil Valenttine informs the reader in his Triumphal Chariot of Antimony: "By our Art it (antimony) can also become an oil." The Secret Book of Artephius notes also that: "Antimony is a mineral participating of saturnine parts, and has in all respects the nature thereof. This saturnine antimony agrees with sol, and contains in itself argent vive, in which no metal is swallowed up, except gold, and gold is truly swallowed up by this antimonial argent vive..." The same source later states that: "... there is a double substance of argentum vivum, the one from antimony, and the other from mercury sublimated, it does give a double weight and substance of fixed argent vive, and also augments therein the native color, weight, substance and tincture thereof." Moreover, Betty Jo Teeter Dobbs, in The foundations of Newton's Alchemy (1975) discusses the occurrence of a special symbol introduced by Isaac Newton in some of his later alchemical writings that may have some bearing on our present discussion. After tentatively assigning the name "quintessentia" to the symbol in question Dobbs explains that: 7
Some pages of the manuscript seem to identify the quintessence with antimony (presumably the ore), but another renders the symbol ...as "Bism,." probably meaning an ore of bismuth. Either of these designations would at least make it appear to have been a concrete substance to Newton, yet elsewhere in the same manuscript he defined the quintessence as a "corporeal spirit" and a "spiritual body" and the "condensed spirit of the world."(The foundations of Newton's Alchemy, Cambridge University Press, Cambridge, 1975:165)
Table 1 shows that the "Spirit" of "Saturnine Antimony" (the mean velocity of the Saturn-Jupiter synodic cycel) is equal to the "body" (mean distance) of Mercury and it also follows that this parameter may in turn be reduced from the "Spirit" (mean velocity) of Mercury, itself the golden ratio, etc. On a more general but nevertheless ourobotic level, Roger Bacon's Tract on the Tincture and Oil of Antimony also contains the following aside:

"The Philosophers, when they have thus prepared our Antimonium in secret, have remarked how its outermost nature and power has collapsed into its interior, and its interior thrown out and has now become an oil that lies hidden in its innermost and depth, well prepared and ready." [emphasis supplied].

Those who feel that "Antimony" in this context is more reasonably construed in terms of metallurgy, chemistry, or medicine might wish to consider the following words of caution expressed by Basil Valentine in The Triumphal Chariot of Antimony:
Many Anatomists have subjected Antimony to all manner of singular torments and excruciating processes, which it is difficult either to believe or to describe. Their studies have led to no result, because they did not seek the true soul of Antimony, and, therefore, did not soon find that fictitious soul of which they were in search their path being obscured with black colours which rendered invisible what they desired to see. Antimony, like Mercury, is comparable to a circle, without beginning or end, composed of all colours; and the more is always found in it, the more diligent and prudent the search which is made. One man's life is too short to discover all these mysteries. [emphasis supplied]
The latter writer also provides an additional cautionary remark in The Twelve Keys along with the following expansion:
Know that our seed is produced in the following way. A celestial influence descends from above, by the decree and ordinance of God, and mingles with the astral proper ties. When this union has taken place, the two bring forth a third namely, an earth-like substance, which is the principle of our seed, of its first source, so that it can shew an ancestry, and from which three the elements, such as water, air, and earth, take their origin. These elements work underground in the form of fire, and there produce what Hermes, and all who have preceded me, call the three first principles, viz., the internal soul, the impalpable spirit, and visible bodies, beyond which we can find no earlier beginning of our Magistery. In the course of time these three unite, and are changed through the action of fire into a palpable substance, viz., quicksilver, sulphur, and salt. If these three substances be mixed, they are hardened and coagulated into a perfect body, which represents the seed chosen and appointed by the Creator. This is a most important and certain truth. If the metallic soul, the metallic spirit, and the metallic form of body be present, there will also be metallic quicksilver, metallic sulphur, and metallic salt, which together make up the perfect metallic body. If you cannot perceive what you ought to understand herein, you should not devote yourself to the study of philosophy. [emphasis supplied]
Moreover, the relationships between Antimony, Mars, Venus and Mercury are also stated in alchemical Aphorisms 117 and 119 below (source: 153 Chymical Aphorisms, ca.1680):
Aph. 111. And among Minerals there is none found which can perfect the colour of pale Gold, and facilitate its Flux, and render it more penetrating, but Antimony only.
Aph. 112. Therefore that appeareth to be the only Mineral, of which, and by which, the said Mercury may be obtained.
Aph. 113. For, seeing that Antimony cannot communicate more Tincture to Gold, than the natural perfection of Gold requireth
Aph. 114. And Gold, as hath been already said, ought to be more perfectly Tinged by the Mercury of philosophers.
Aph. 115. This Mercury cannot be had of Antimony alone;
Aph. 116. But by it, as a Medium, from other imperfect Metallick Bodies, which abound with the Tincture of Gold;
Aph. 117. Of which sort there are found only two, to wit, Mars and Venus.
Aph. 118. Whence we conclude, That of Antimony, and by its help, of Mars also, and Venus, our Royal Menstruum is to be elicited, by the work of Art and Nature.
Aph. 119. Antimony, Mars and Venus, consist of Sulphur and Mercury. [italics supplied]
Numerically, in this and similar contexts, it would therefore appear that "soul" can be equated with the mean period of revolution, "body" with the mean distance, and "spirit" with the mean velocity; for as The Book of Krates says, 'Know that copper, just like a man, has a spirit and a body' (Jack Lindsay, p.113) while in the writings of Kleopatra it is also stated that: "...the body and the soul and the spirit were all united in love and had become one: in which unity and the mystery has been concealed." (Lindsay, p.259).8
This representation appears to be one of a number of triadic keys and much further analysis will be required to clarify them all. Moreover, matters do not necessarily become simpler as as result, e.g., the symbolism also expands to include (among other things) animals of the land, denizens of the sea, and birds of the air, etc (see: Animal Symbolism in the Alchemical Tradition and The Birds in Alchemy by Adam McLean).
In case it is assumed that "alchemy" can be completely deciphered from the above information alone, it is necessary to point out that the significance of the Moon has been omitted here and the various terms and names associated with the subject are still as confusingly intermingled as the names of the Heroes and Gods of the ancient Greeks. For example, in an Arab MS called The Twelve Chapters by Ostanes the Philosopher on the Philosopher's Stone we find that: 9

"The style of the Twelve Chapters shows that it derives from the period when alchemic ideas were set out in elaborate rhetorical fashion, with much antithesis and heaping-up of synonyms. But the essential ideas are much earlier; and as the points are strongly and clearly made, we may cite some more passages that seek to stress the paradoxical nature of the secret. Needless to say, the Aristotle here cited is an apocryphal figure:
'I have heard Aristotle say: 'Why do these seekers turn away from the stone? It is however well known thing, characterised, existent, possible,'
"I replied, 'What are its qualities? Where is it found? What is its possibility?
He told me. 'I'll characterise it by telling you it's like lightning on a dark night. How can one fail to recognise something white showing up against a black background? The separation isn't painful for anyone accustomed to distance. Night cannot be dubious for him who owns two eyes.' [emphasis supplied]
"Another Sage has said: 'I've lived now forty years and I've never spent a single day without seeing the Stone day and night so well that I was fearing nobody could help seeing it too. I then used yet more enigmatic expressions than those I'd used at first and I have increased the obscurity of the phrases out of fear that their sense was already too plain.'
'Know then that the authors in their books have used a great number of words to denote the Stone. I'm going to mention the easiest ones. Leaving aside the majority of such words and choosing those which are, as far as I know, the ones best known in the world. It is called:
Lion, dragon, serpent, viper, scorpion, water,
fire, torrent, congealed or dissolved [body], vinegar,
salt, dog, Hermes, mercury, jackal, page,
serving-maid, gazelle, courser, wolf, panther, monkey,
sulphur, arsenic, tutty, foam of silver, iron,
copper, lead, tin, silver, gold, talc,
tulac, tirac, tarc, dumb man, oppressor, submitted[being]
magnet, fat, spirit, soul, oil, collyrium,
urine, bone, vein, Saturn,Barkis[Balti=Venus?],
Mars, Sun, Moon.' [emphasis supplied]
From a somewhat wider viewpoint there is also the following description of the "Stone" provided in another alchemical treatise, The Glory of the World, (ca.1620):
I have called it by various names, but the simplest is perhaps that of "Hyle," or first principle of all things. It is also denominated the One Stone of the Philosophers, composed of hostile elements, the Stone of the Sun. the Stone of the Metals, the runaway slave, the aeriform Stone, the Thirnian Stone, Magnesia, the corporeal Stone, the Stone of the jewel, the Stone of the free, the golden Stone, the fountain of earthly things, Xelis, or Silex (flint), Xidar, or Radix (root), Atrop, or Porta (gate). By these and many other names it is called, yet it is only one.
Next, it is worth repeating here Jack Linday's assessment of the Ouroborus in alchemical contexts:10
In the symbolism of Kleopatra and the alchemists in general, then, the Ouroboros was used to represent the All, which was One, in its aspect of Time: that is, as a system in a ceaseless development, yet revealing a comprehensive structure which could be defined in the triadic formula. (The Origins of Alchemy in Graeco-Roman Egypt, 1970:265.)
Lastly, although the inter-relationships between the mean planetary periods, mean distances and mean velocities have been discussed here largely in tabular form, there are rare references to the spiral configuration and further allusions to the Ouroborus in other alchemical works. In a very small selection from: The Hermetic Arcanum, ca.1623 ("The Secret Work of the Hermetic Philosophy, The work of an anonymous author, penes nos unda tagi") for example, we find the following information: 11
61. The extremes of the Stone are natural Argent vive and perfect Elixir: the middle parts which lie between, by help whereof the work goes on, are of three sorts; for they either belong unto matter, or operations, or demonstrative signs: the whole work is perfected by these extremes and means.
63. The operative means (which are also called the Keys of theWork) are four: the first is Solution or Liquefaction; the second is Ablution; the third Reduction; the fourth Fixation. By Liquefaction bodiescreate the Jupiter of Saturn, which is done by the conversion of the Body into Spirit. The Office of Reduction is to restore the soul to the stone exanimated, and to nourish it with dew and spiritual milk, until it shall attain unto perfect strength. In both these latter operations the Dragon rageth against himself, and by devouring his tail, doth wholly exhaust himself, and at length is turned into the Stone. Lastly, the operation of the Fixation fixeth both the White and the Red Sulphurs upon their fixed body, by the mediation of the spiritual tincture; it decocteth the Leaven or Ferment by degrees ripeneth things unripe, and sweeteneth the bitter. In fine by penetrating and tincturing the flowing Elixir it generateth, perfecteth, and lastly, raiseth it up to the height of sublimity. return into their first form, things concocted are made raw again and the combination between the position and negative is effected, from whence the Crow is generated lastly the Stone is divided into four confused elements, which happeneth by the retrogradation of the Luminaries. The Ablution teacheth how to make the Crow white, and to
83. The Circulation of the Elements is performed by a double Whorl, by the greater or extended and the less or contracted. The Whorl extended fixeth all the Elements of the Earth, and its circle is not finished unless the work of Sulphur be perfected. The revolution of the minor Whorl is terminated by the extraction and preparation of every Element. Now in this Whorl there are three Circles placed, which always and variously move the Matter, by an Erratic and Intricate Motion, and do often (seven times at least) drive about every Element, in order succeeding one another, and so agreeable, that if one shall be wanting the labour of the rest is made void. These Circulations are Nature's Instruments, whereby the Elements are prepared. Let the Philosopher therefore consider the progress of Nature in the Physical Tract, more fully described for this very end. [emphases supplied
The above discussion began with a relatively limited inquiry concerning "Antimony" and as a consequence it skimmed over colors, properties, animal symbolism, medicinal aspects, alchemical "recipes," and wider issues associated with religious beliefs and origins. But even though the subject is to some extent shrouded by secrecy it can nevertheless still be examined in terms of methodology and mathematics rather than numerology or mysticism. Such analysis is undoubtedly hindered by the proliferation of names, the many allegories, and the diversity of methods employed; for one last example, see the erudite H. P. Blavatsky's minor Kabbalistic excursion into the numbers of the "Dove," the "Raven," and the approximation Pi = 355/113 in "The Mystery of Blackness," The Secret Doctrine (2-12). - a work that is dated in some respects yet timeless in another:
Fortunately, in spite of many complications, the Great Work of the Alchemists appears to be a continuing process. There is in fact a wealth of Alchemical material now available, especially on the Internet, thanks largely to the massive presence of the Alchemy Web Site. organised by Adam McLean, the Bibliotheca Philosphica Hermetica in Holland, and works such as The Pythagorean Pentacle and The Rotation of the Elements by John Opsopaus - the latter replete with three-dimensional spiral, the ouroboros and an initial quotation by the alchemist George Ripley (1490) of some significance:

"When thou hast made the quadrangle round, Then is all the secret found ..."

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E G Y P T
For our present purposes, however, it is necessary to again consider origins and the links between Ancient Greece, Mesopotamia and Egypt. The source in this case is "Alchemy in Islamic Times" by Prof. Hamed Abdel-reheem Ead (University of Cairo Giza-Egypt and director of Science Heritage Center). A partial listing from this source is given below with emphasis on those of the Greek school already discussed; additional emphasis on the Egyptian contribution appears necessary to put the matter in its proper historical perspective before proceeding further.
"Pythagoras (Fithaghurus)
Pythagoras is often mentioned in Arabic philosophy and in gnomic literature. Jaldaki calls him al-muallim al-awwal because he acquired the science from hermetic texts. Jabir refers to him as an alchemic author and speaks of Ta'ifat Fthaghurus, the school of Pythagoras, and of his book Kitab almusahhahat (Book of Adjustments). Other quotations refer to Pythagoras's theory of numbers. Tughra'i mentions him several times and refers to his treatise about 'natural numbers'. The fragments of texts which are attributed to him could have come either from Turba philosophorum, where he is among the participants, or from other texts.
Socrates
Socrates is considered not only as a wise man but also as an alchemist. Jabir calls him 'the father and mother of all philosophers' and considers him as the prototype of the real chemist. From Socrates to Jabir, there is a continuous tradition which attributes entire treatises to him. Jabir affirms that Socrates was opposed to the writing down of alchemic knowledge to avoid its exposition to the ignorance of the masses. Most references to Socrates refer to his arithmetical speculations (theory of the balance) and also to artificial generation.
Plato (Aflatun)
Olympiodorus already (at the end of the sixth century) considered Plato as an alchemist and Ibn al-Nadlm mentions him in the list of alchemists. Butrus al-Ilmlml mentions an alchemic device called, hammam Aflatun (Plato's bath). Among the books attributed to him by the Arabs we can mention the Summa Platonis of which we only have the Latin version. There is a commentary to this book - the Kitab al-Rawabi' - whose Arabic text was edited by Badawi and whose Latin translation is known by the name Liber quartorum. The contents of this work are mainly alchemic but it contains also information on geometry, physiology and astrology. The ancient authors cited are Plato, Aristotle, Ptolemy, Hipparchus, Proclus, the Sophists, Ostanes, Hermes, Asclepius and Hippocrates....
Aristotle (Aristu)
Aristotle is considered as an alchemist author not so much because of his fourth book Meteorologica but because of his reputation as an all-round scholar. He wrote a book on alchemy for his disciple Alexander. In 618, by order of Heraclius, the book was translated into Syriac by the monk Jean, and the Bishop of Nisibis, Eliyya bar Shinaya, made sure of its orthodoxy. Finally Abdishu' bar Brika, Bishop of Sinjar, and later of Nisibis, made a commentary on it in Syriac of which there still exists an Arabic translation. The text contains an introduction in which Abdlshu reports the legendary history of the text followed by a Ietter from Alexander to Aristotle where the former poses questions to which the latter responds. This dialogue is called sahifat kanz Allah al-akbar (Epistle of the Great Treasure of God). it includes three chapters: (1) About the great principles of alchemy; (2) Alchemic operations; (3) The elixir. Pythagoras, Democritus, Asclepiades, Hermes, Plato, Ostanes and Balmas are mentioned in the text....
Bolos the Democritean of Mendes
Bolos the Democritean lived in the second century before Christ. The work of this scholar is varied: alchemy, astrology, medicine.... the school of Bolos brings to the Egyptian technique a philosophical reasoning which will open the way to the science of the Great Work. 'Once again', says Festugiere, 'we see the union of the Greek spirit and the Oriental art.' The art exists, from ancient times; the goldsmiths of Egypt work metals, stones and purple... About the same time alchemy was practiced in most Egyptian towns. This first alchemy is a mixture of hermetic or Gnostic elements and old Greek philosophy: Heraclitus, Empedocles and their speculations about the four elements, Parmenides with his theory on the unity of the whole, the Platonic cosmogony of Timaeus. [emphasis supplied]
Zosimus
The most famous character of this time is Zosimus of Panopolis (Akhmim, in Upper Egypt). He probably lived at the end of the third and beginning of the fourth century...Zosimus can be placed at the end of an evolution in alchemy. With Bolos, it became philosophical; with Zosimus it becomes a mystical religion where the idea of salvation is predominant. In fact, the period which separates Bolos the Democritean from Zosimus saw intense alchemic activity. Vastly different elements - Egyptian magic, Greek philosophy, neo-Platonism, Babylonian astrology, Christian theology, pagan mythology - can be found in Zosimus' texts. He is full of gnostic and hermetic books, he knows the Jewish speculations about the Old Testament. He gives to alchemy a religious character which will remain forever, at least in its traditional course, since with the Arab alchemists it will retain its concrete technical character before meeting the Ismaeli gnostic speculations.
Zosimus and his contemporaries who collected their predecessors' traditions insist on their connection with the Egypt of the Pharaohs or with the Persia of Zoroastra and Ostanes. We can find texts under the name of Agathodaimon compared with Hermes....
This Greek-Egyptian alchemy survived in Alexandria for several centuries. From here it will go to Constantinople, where several recensions of the 'collection of Greek alchemists' were compiled, and to the Arabs when they conquered Egypt in the seventh century.
Hermes and Hermetic literature
According to Ibn al-Nadlm (351, 19) Arab alchemists considered the Babylonian Hermes as the first one to have mentioned the art of alchemy. Exiled by his countrymen, he came to Egypt where he became king. He wrote a certain number of books on alchemy and was equally interested in the study of the hidden forces of nature." [emphases and italics supplied]
Further information concerning the roles played by Bolos, Zosimos and especially Hermes may be found in Jack Lindsay's The Origins of Alchemy in Graeco-Roman Egypt [1970], who informs the reader, among other things, that:12
Zosimos looked to Hermes as the originator of the notion of the alchemic process as triadic. 'The present [chemical] composition, once set in movement, leaves the state of monad in order to constitute itself as a triad by driving out the mercury. Constituted as a monad that overflows as a triad, it is a continuum; but in return, constituted as a triad with three separated elements, it constitutes the world by the providence of the First Author, Cause and Demiurge of Creation, who henceforth is called Trismegistos in the sense that he has envisaged what he produced, and what produces it, under a triadic mode.' This important statement deepens the triadic concept by applying it directly to the moment of change, in which simultaneously there occur an act of union and an act of expulsion, of negation. This pattern is not a chance product, it is something that has only a limited application; it is the creative or formative pattern of all process. The alchemist is re-enacting the role of the demiurge.
At which point we arrive back at the Triad and to some extent the Oracles to take up the occurrence of the universal constant phi, this time its underlying importance in the construction of major monuments in Ancient Egypt - a topic treated at length by R.A.Schwaller de Lubicz [1891-1962] with respect to the construction the Temple of Luxor (Le Temple de l'Homme).13 The latter's "symbolist" interpretations were subsequently championed by John Anthony West and made generally available by West's 1978 publication Serpent in the Sky. Because of the significance of Phi in both these works West gave considerable space to the topic, and in addition suggested that:14
Perhaps the greatest single achievement within Schwaller de Lubricz's reinterpretation is the solution of the ultimate meaning of the Golden Section - a problem that has occupied many of the greatest thinkers and artists of history. When this significance is divulged, the reader may well be puzzled as to why so apparently elementary an explanation should have remained a mystery so long. Yet the fact is that the solution eluded the genius of Leonardo and of Kepler, of a number of brilliant modern biologists, and a host of astute artists and researchers in aesthetics. The answer to the mystery's amazing persistence can only lie in the fact that the cause of number, the Primordal Scission, was never grasped. Yet it is known that phi controls the proportions of innumerable living organisms, that the spiral of the 'spiral galaxy" is a phi spiral, that the orbits of the planets of our solar system are in complex phi relationships to each other, and that the proportions of Gothic cathedrals and Greek temples are commanded by phi. Though long before Swaller de Lubicz's work a number of scholars had noted phi proportions in the pyramids and other Egyptian remains, only in the past few years has this been acknowledged by Egyptologists. Even now, attempts are made to show how the Egyptians might have used the Golden Section without actually realizing they were doing so. But the fact is that the Egyptians knew and used phi from the earliest dynasties - as well as the so-called Fibonacci numbers that devolve from phi. Evidently the Egyptians - and builders of the Greek temples and Gothic cathedrals and to a certain extent the painters and Neoplatonists of the Renaissance - also knew the significance of phi and the manner in which to employ it effectively; knowledge which they either deliberately kept secrect or which was later inadvertently lost. Even those modern artists who have been intrigued by phi and attempted to use it (Mondrian and le Corbusier, for example) did not understand its meaning and met with but partial success. [emphasis added]
Le Corbusier in fact made use of the phi-series itself in his blue and red series as Kappraff [1991] has explained in some detail.15 Moreover, from what has been discussed so far, it would appear that a case can indeed be made for the statement that: "the orbits of the planets of our solar system are in complex phi relationships to each other," although this does not seem to be a current or universal understanding, to say the least.
In the final analysis, the present work - unavoidably condensed - cannot in fact claim to be a distinct discovery per se, nor can it constitute restoration of lost wisdom if the latter was never truly lost. What is supplied here is a beginning and a partial integration of a complex corpus of information that may have ramifications yet to be recognized. The same may also be said regarding the background part played throughout the ages by those who elected to preserve and pass the information on. Only they know their true roles in all of this; perhaps the rest of us never will.

As for the role of Ancient Egypt, consider again (or refer to Part B of the previous Section) Kepler's "frank confession" in the Harmonies of the World published in the year 1618:16

The very nature of things, in order to reveal herself to mankind, was at work in the different interpreters of different ages, and the finger of God-to use the Hebrew expression; and here, in the minds of two men, who had wholly given themselves up to the contemplation of nature, there was the same conception as to the configuration of the world, although neither had been the others guide in taking this route. But now since the first light eight months ago, since broad day three months ago, and since the sun of my wonderful speculation has shone fully a very few days ago: nothing holds me back. I am free to give myself up to the sacred madness, I am free to taunt mortals with the frank confession that I am stealing the golden vessels of the Egyptians, in order to build a temple for my God, far from the territory of Egypt. If you pardon me, I shall rejoice; if you are enraged, I shall bear up. The die is cast, and I am writing the book-whether to be read by my contemporaries or by posterity matters not. Let it await its reader for a hundred years, if God Himself has been ready for His contemplator for six thousand years.
Lux e Tenebris
Almost four centuries have elapsed since Kepler wrote his frank confession and moving epilogue. Although much work remains, perhaps the time has now come for the "Golden Vessels of the Egyptians" to be repatriated and their place in the scheme of things acknowledged, along with the sacrifices of all those who laboured to preserve them through the intervening centuries of darkness.

 

--------------------------------------------------------------------------------

REFERENCES

Lindsay, Jack. The origins of Alchemy in Graeco-Roman Egypt, Ebenezer Baylis & Son, Trinity Press London 1970.
Taylor, Thomas, Commentaries of Proclus on the Timæus of Plato, Book I. Kessinger Books, Kila. p.36.

Taylor, Thomas, T. PLATO: The Timæus and The Critias, Bollingen Series, Pantheon Books, Washington 1944:118.
Wagner, Jeffrey K. Introduction to the Solar System, Holt, Rinehart and Winston, Orlando 1991.
Taylor, Thomas, Commentaries of Proclus on the Timæus of Plato, Vol II, Book III. pp. 89-90.

The Commentaries of Proclus on the Timeus of Plato, transl. Thomas Taylor, Kessinger Books, Kila, pp.115-118.
Dobbs, Betty Jo Teeter.The foundations of Newton's Alchemy, Cambridge University Press, Cambridge, 1975:165.
Lindsay, Jack, The Origins of Alchemy in Græco-Roman Egypt, Ebenezer Baylis & Son, Trinity Press, London, 1970:259.
ibid., pp.144-145.

ibid., p.265.

The Hermetic Arcanum
Lindsay, Jack, The Origins of Alchemy in Græco-Roman Egypt, Ebenezer Baylis & Son, Trinity Press London 1970:177.
de Lubicz, Schwaller, Le Temple de l'Homme, Translated by Robert and Deborah Lawlor, Autumn Books 2000.
West, J. A., Serpent in the Sky, Quest Books, Theosophical Publishing House, Wheaton. 1993:61-62.
Kappraff, J. CONNECTIONS: The Geometric Bridge between Art and Science, McGraw-Hill, New York 1991:21-25.
Kepler, Johannes. Harmonies of the World, Great Books of the Modern World 16, Robert Maynard Hutchins, Editor in Chief. William Benton, Chicago 1952.
Copyright © 1997. John N. Harris, M.A.(CMNS). Last Updated on February 22, 2004.

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10
PYTHAGORAS
130
49
4
9
OURABORUS
130
40
4

 

 

JUST SIX NUMBERS

THE DEEP FORCES THAT SHAPE THE UNIVERSE

Martin Rees 1999

Page 7

"Lengths spanning sixty powers of ten are depicted in the ouraborus,"

Page 8

FIGURE 1.1 (omitted)

"The ouraborus, There are links between the microworld of particles, nuclei and atoms (left) and the cosmos (right)"

Page 161

"A theme of this book has been the intimate links between the microworld and the cosmos symbolized by the ouraborus"

 

 

Solar Plexus; snake swallowing its own tail 11 posts - 4 authors - Last post: 19 Feb 2005
The ouraborous is the flow of a kind of kundalini which bypasses the heart. Kundalini is the Luciferic initiation. ...
www.astralpulse.com/.../metaphoric_phenomenon-t16782.0.html;... - Cached - Similar

The ouraborous is the flow of a kind of kundalini which bypasses the heart. Kundalini is the Luciferic initiation.

 

 

THE

OURABORUS PYTHAGORAS OURABORUS

THAT

SERPENT I PRESENT

 

 

3
THE
33
15
6
-
OURABORUS
-
-
-
2
O+U
36
9
9
1
R
18
9
9
3
A+B+O
18
9
9
1
R
18
9
9
2
U+S
40
13
4
-
OURABORUS
-
-
-
12
First Total
163
64
46
1+2
Add to Reduce
1+6+3
6+4
4+6
3
Second Total
10
10
10
-
Reduce to Deduce
1+0
1+0
1+0
3
Essence of Number
1
1
1

 

 

-
OURABORUS
-
-
-
2
O+U
36
9
9
1
R
18
9
9
3
A+B+O
18
9
9
1
R
18
9
9
2
U+S
40
13
4
9
OURABORUS
130
49
40
-
-
1+3+0
4+9
9
OURABORUS
4
13
4
-
-
1+3
-
9
OURABORUS
4
4
4

 

 

-
8
B
A
S
I
L
I
S
K
-
-
-
-
-
--
-
-
-
-
-
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-
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1
9
-
9
1
-
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=
20
2+0
=
2
=
2
=
2
-
-
-
-
19
9
-
9
19
-
+
=
56
5+6
=
11
1+1
2
=
2
-
8
B
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-
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8
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8
-
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2
1
-
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12
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11
+
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26
2+6
=
8
=
8
=
8
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8
B
A
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K
-
-
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2
1
19
9
12
9
19
11
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82
8+2
=
10
1+0
1
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1
-
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1
1
9
3
9
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=
28
2+8
=
10
1+0
1
=
1
-
8
B
A
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-
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4
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8
-
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8
-
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9
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9
occurs
x
2
=
18
1+8
9
30
8
B
A
S
I
L
I
S
K
-
-
15
-
-
8
-
28
-
19
3+0
-
-
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-
9
-
9
-
-
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-
-
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2+8
-
1+9
3
8
B
A
S
I
L
I
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-
-
6
-
-
8
-
10
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10
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1
9
3
9
1
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1+0
3
8
B
A
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6
-
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8
-
1
-
1

 

 

8
B
A
S
I
L
I
S
K
-
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-
-
-
-
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9
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20
2+0
=
2
=
2
=
2
-
-
-
19
9
-
9
19
-
+
=
56
5+6
=
11
1+1
2
=
2
8
B
A
S
I
L
I
S
K
-
-
-
-
-
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-
-
-
-
-
2
1
-
-
3
-
-
2
+
=
8
-
=
8
=
8
=
8
-
2
1
-
-
12
-
-
11
+
=
26
2+6
=
8
=
8
=
8
8
B
A
S
I
L
I
S
K
-
-
-
-
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9
12
9
19
11
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=
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8+2
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10
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1
=
1
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2
1
1
9
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9
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2
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1
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4
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occurs
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=
3
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3
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9
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9
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9
occurs
x
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=
18
1+8
9
8
B
A
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I
L
I
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-
-
15
-
-
8
-
28
-
19
-
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9
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9
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1+9
8
B
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-
-
6
-
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8
-
10
-
10
-
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9
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9
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1+0
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1+0
8
B
A
S
I
L
I
S
K
-
-
6
-
-
8
-
1
-
1

 

 

Basilisk - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Basilisk‎

In European bestiaries and legends, a basilisk is a legendary reptile reputed to be king of serpents and said to have the power to cause death with a single ...

In European bestiaries and legends, a basilisk (/ˈbæzɪlɪsk/,[1] from the Greek βασιλίσκος basilískos, "little king;" Latin regulus) is a legendary reptile reputed to be king of serpents and said to have the power to cause death with a single glance. According to the Naturalis Historia of Pliny the Elder, the basilisk of Cyrene is a small snake, "being not more than twelve fingers in length,"[2] that is so venomous, it leaves a wide trail of deadly venom in its wake, and its gaze is likewise lethal; its weakness is in the odor of the weasel, which, according to Pliny, was thrown into the basilisk's hole, recognizable because all the surrounding shrubs and grass had been scorched by its presence. It is possible that the legend of the basilisk and its association with the weasel in Europe was inspired by accounts of certain species of Asiatic snakes (such as the king cobra) and their natural predator, the mongoose.

The basilisk is called "king" because it is reputed to have on its head a mitre- or crown-shaped crest. Stories of the basilisk show that it is not completely distinguished from the cockatrice. The basilisk is alleged to be hatched by a cockerel from the egg of a serpent or toad (the reverse of the cockatrice, which was hatched from a cockerel's "egg" incubated by a serpent or toad). In Medieval Europe, the description of the creature began taking on features from cockerels.

One of the earliest accounts of the basilisk comes from Pliny the Elder's Natural History, written in roughly 79 AD. He describes the catoblepas, a monstrous cow-like creature of which "all who behold its eyes, fall dead upon the spot,"[3] and then goes on to say,

"There is the same power also in the serpent called the basilisk. It is produced in the province of Cyrene, being not more than twelve fingers in length. It has a white spot on the head, strongly resembling a sort of a diadem. When it hisses, all the other serpents fly from it: and it does not advance its body, like the others, by a succession of folds, but moves along upright and erect upon the middle. It destroys all shrubs, not only by its contact, but those even that it has breathed upon; it burns up all the grass, too, and breaks the stones, so tremendous is its noxious influence. It was formerly a general belief that if a man on horseback killed one of these animals with a spear, the poison would run up the weapon and kill, not only the rider, but the horse, as well. To this dreadful monster the crow of a rooster is fatal, a thing that has been tried with success, for kings have often desired to see its body when killed; so true is it that it has pleased Nature that there should be nothing without its antidote. The animal is thrown into the hole of the basilisk, which is easily known from the soil around it being infected. The weasel destroys the basilisk by its odour, but dies itself in this struggle of nature against its own self."[4]

A putto kills a basilisk, symbolic of Swedish occupiers and Protestant heresy, on the Mariensäule, Munich, erected in 1638
Isidore of Seville defined the basilisk as the king of snakes, due to its killing glare and its poisonous breath. The Venerable Bede was the first to attest to the legend of the birth of a basilisk from an egg by an old cockerel, and then other authors added the condition of Sirius being ascendant. Alexander Neckam (died 1217) was the first to say that not the glare but the "air corruption" was the killing tool of the basilisk, a theory developed one century later by Pietro d'Abano.

Theophilus Presbyter gives a long recipe in his book for creating a basilisk to convert copper into "Spanish gold" (De auro hyspanico).

Albertus Magnus in the De animalibus wrote about the killing gaze of the basilisk, but he denied other legends, such as the rooster hatching the egg. He gave as source of those legends Hermes Trismegistus, who is credited also as the creator of the story about the basilisk's ashes being able to convert silver into gold: the attribution is absolutely incorrect, but it shows how the legends of the basilisk were already linked to alchemy in 13th century.

Geoffrey Chaucer featured a basilicok (as he called it) in his Canterbury Tales. According to some legends, basilisks can be killed by hearing the crow of a rooster or gazing at itself through a mirror.[5][6] The latter method of killing the beast is featured in the legend of the basilisk of Warsaw, killed by a man carrying a set of mirrors.

Stories gradually added to the basilisk's deadly capabilities, such as describing it as a larger beast, capable of breathing fire and killing with the sound of its voice. Some writers even claimed it could kill not only by touch, but also by touching something that is touching the victim, like a sword held in the hand. Also, some stories claim its breath is highly toxic and will cause death, usually immediately. The basilisk is also the guardian creature and traditional symbol of the Swiss city Basel.

The basilisk was, however, believed to be vulnerable to cockerels; therefore travelers in the Middle Ages allegedly sometimes carried cockerels with them as protection.[7]

Leonardo da Vinci included a basilisk in his Bestiary, saying it is so utterly cruel that when it cannot kill animals by its baleful gaze, it turns upon herbs and plants, and fixing its gaze on them withers them up. In his notebooks, he describes the basilisk, in an account clearly dependent directly or indirectly on Pliny's:
This is found in the province of Cyrenaica and is not more than 12 fingers long. It has on its head a white spot after the fashion of a diadem. It scares all serpents with its whistling. It resembles a snake, but does not move by wriggling but from the centre forwards to the right. It is said that one of these, being killed with a spear by one who was on horse-back, and its venom flowing on the spear, not only the man but the horse also died. It spoils the wheat and not only that which it touches, but where it breathes the grass dries and the stones are split.
Then Leonardo says the following on the weasel: "This beast finding the lair of the basilisk kills it with the smell of its urine, and this smell, indeed, often kills the weasel itself."

Heinrich Cornelius Agrippa wrote that the basilisk "is alwayes, and cannot but be a male, as the more proper receptacle of venome and destructive qualities."[8]

According to the tradition of the Cantabrian mythology, the ancient Basiliscu (as they called it) has disappeared in most of the Earth but still lives in Cantabria, although it is rare to see it. This animal is born from an egg laid by an old cock just before his death a clear night and full moon exactly at midnight. Within a few days, the egg shell, which is not hard, but rather soft and leathery, is opened by the strange creature that already has all the features of an adult: legs, beak, cockscomb, and reptilian body. Apparently, this strange creature has an intense and penetrating fire in its eyes that at the animal that or person who gazes directly upon it would die. The weasel is the only animal that can face and even attack it. It can only be killed with the crowing of a rooster, so, until very recent times, travelers were carrying a rooster when they ventured into areas where it was said that the basilisks lived.[9]

 

 

-
8
B
A
S
I
L
I
S
K
-
-
-
-
-
--
-
-
-
-
-
-
-
-
1
9
-
9
1
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
19
9
-
9
19
-
+
=
56
5+6
=
11
1+1
2
=
2
-
8
B
A
S
I
L
I
S
K
-
-
-
-
-
--
-
-
-
-
-
-
2
1
-
-
3
-
-
2
+
=
8
-
=
8
=
8
=
8
-
-
2
1
-
-
12
-
-
11
+
=
26
2+6
=
8
=
8
=
8
-
8
B
A
S
I
L
I
S
K
-
-
-
-
-
--
-
-
-
-
-
-
2
1
19
9
12
9
19
11
+
=
82
8+2
=
10
1+0
1
=
1
-
-
2
1
1
9
3
9
1
2
+
=
28
2+8
=
10
1+0
1
=
1
-
8
B
A
S
I
L
I
S
K
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
-
1
-
-
-
1
occurs
x
3
=
3
=
3
-
``-
2
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
30
8
B
A
S
I
L
I
S
K
-
-
15
-
-
8
-
28
-
19
3+0
-
-
-
-
9
-
9
-
-
-
-
1+5
-
-
-
-
2+8
-
1+9
3
8
B
A
S
I
L
I
S
K
-
-
6
-
-
8
-
10
-
10
-
-
2
1
1
9
3
9
1
2
-
-
-
-
-
-
-
1+0
-
1+0
3
8
B
A
S
I
L
I
S
K
-
-
6
-
-
8
-
1
-
1

 

 

8
B
A
S
I
L
I
S
K
-
-
-
-
-
--
-
-
-
-
-
-
-
1
9
-
9
1
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
19
9
-
9
19
-
+
=
56
5+6
=
11
1+1
2
=
2
8
B
A
S
I
L
I
S
K
-
-
-
-
-
--
-
-
-
-
-
2
1
-
-
3
-
-
2
+
=
8
-
=
8
=
8
=
8
-
2
1
-
-
12
-
-
11
+
=
26
2+6
=
8
=
8
=
8
8
B
A
S
I
L
I
S
K
-
-
-
-
-
--
-
-
-
-
-
2
1
19
9
12
9
19
11
+
=
82
8+2
=
10
1+0
1
=
1
-
2
1
1
9
3
9
1
2
+
=
28
2+8
=
10
1+0
1
=
1
8
B
A
S
I
L
I
S
K
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
-
1
-
-
-
1
occurs
x
3
=
3
=
3
-
2
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
9
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
8
B
A
S
I
L
I
S
K
-
-
15
-
-
8
-
28
-
19
-
-
-
-
9
-
9
-
-
-
-
1+5
-
-
-
-
2+8
-
1+9
8
B
A
S
I
L
I
S
K
-
-
6
-
-
8
-
10
-
10
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
1+0
-
1+0
8
B
A
S
I
L
I
S
K
-
-
6
-
-
8
-
1
-
1


 

4
THIS
56
20
2
5
PLANT
63
18
9
2
IS
28
19
1
4
HOLY
60
24
6
15
Add to Reduce
207
81
18
1+5
Reduce to Deduce
2+0+7
8+1
1+8
6
Essence of Number
9
9
9

 

 

M
=
4
8
MANDRAKE
67
31
4

 

 

3
THE
33
15
6
7
BACCHUS
-
-
-
-
B+A
3
3
3
-
C
3
3
3
-
C
3
3
3
-
H+U+S
48
12
3
7
BACCHUS
57
21
12
-
-
5+7
2+1
1+2
7
BACCHUS
12
3
3
-
-
1+2
-
-
7
BACCHUS
3
3
3

 

 

5
FLAME
-
-
-
-
F+L
18
9
9
-
A
1
1
1
-
M+E
18
9
9
5
FLAME
37
19
19
-
-
3+7
1+9
1+9
5
FLAME
10
10
10
-
-
1+0
1+0
1+0
5
FLAME
1
1
1

 

THE

FIELD

THE QUEST FOR THE SECRET FORCE OF THE UNIVERSE

Lynne McTaggart 2001

LIGHT IN THE DARKNESS

Page III

"Physics may be about to face a revolution similar to that which occurred just a century ago. . .

Arthur C. Clarke, 'When Will the Real Space Age Begin?'

If an angel was to tell us about his philosophy. . .

many of his statements might well sound like 2x2 = 13"

Georg Christophe Lichtenburg, Aphorisms

 

Page 13 "Subatomic particles had no meaning as isolated entities but could only be understood in their realationships. The world at its most basic, existed as a complex web of interdependant relationships, forever indivisible"

 

 

FATHER TERAH THERA HEART EARTH HEART THERA TERAH FATHER

FATHER TERAH THERA HEART EARTH HEART THERA TERAH FATHER

F

ATHER TERAH THERA HEART EARTH HEART THERA TERAH ATHER

F = 6 = F

ATHER TERAH THERA HEART EARTH HEART THERA TERAH ATHER

 

 

THE ATLANTIS SECRET

A COMPLETE DECODING OF PLATOS LOST CONTINENT

Alan F. Alford 2001

Page v

ATLANTIS RECONSIDERED

"All of these myths, and many others besides, concealed a 'Secret of secrets' that was accepted, unquestioningly, as a true account of the origins of the cosmos and man...."

Page v

"...Until now, this mainstream breakthrough in comparative religion has found limited application, for, if truth be told, the literature of the Near East is as much of a puzzle to scholars as the literature of the Greeks. Now, however, in the light of my recent deciphering of the Egyptian and Mesopotamian myths, the full import of these parallels may be felt For the first time ever, it becomes possible to understand the Greek myths by literally standing under them. For the first time ever, we can get inside Plato's mind and reconsider the story of Atlantis from an ancient, rather than a modern, perspective.
The result is nothing short of a sensation. In this book, I present not only a complete decoding of the lost continent of Atlantis, but also a complete decoding of ancient Greek religion in its entirety. I am able to decode the myths of the Olympian gods and their associated mystery cults; I am able to decode the myth of the golden age and the fall of man; I am able to decode the scientific cosmogoniess of Thales, Arnixim-inder, Heraclitus, Anaxagoras, Empedocies and Philolaos; I am able to decode the 'soul religion' of Orpheus, Pythagoras, Parmenides, Socrates and Plato; and I am able to decode Plato's Theory of Forms, his account nf the creation by the Demiourgos, and his story of Atlantis. Behind all of these ideas there lies a single secret of stunning simplicity - ..."

Page 19 (number omitted)

Chapter Two

CATACLYSMS AND THE GODS

Veiled in thick mist, the Muses walk by night, uttering beautiful voice, singing of Zeus who bears the aegis.
(Hesiod, Theogony, 8th-7th century BC)


We now have an overview of the story of the gods. We have learned of their origins, ultimately from Ouranos and Gaia. We have learned of their battles, in which Kronos and then Zeus rose, in turn, to supremacy. We have learned of their establishment of the world order and their division of the world into regions. We have learned of the gods' creation of mankind, apparently preceded by at least one pre-human race of earth- born people. And we have learned of the mingling that allegedly took place between the gods and the earth-born people, which resulted in the race of half-gods, or god-like heroes, and their mighty descendants.
But it is now time to focus in more detail on the various attributes of the gods. Were they really as human-like as Homer and the Euhemerists (such as Ignatius Donnelly) have led us to believe?
We will begin with the physical appearance of the gods, and as good a starting point as any is the hair by which so many were distinguished. There is the 'dark' hair of Poseidon, for example, the 'long, flowing' hair of Apollo, the 'braided' hair of Calypso, and the 'beautiful' hair of Leto and Demeter.' But what should we make of the hair of Zeus, which is described in the Iliad thus:
So the son of Kronos [i.e. Zeus] spoke, and he nodded his dark brows. The lord god's immortal hair streamed forward from his deathless head and he shook the heights of Olympus.2
What kind of hair, might we ask, is 'immortal'? What kind of hair is attached to a head that can shake the Heaven when it is nodded? The unavoidable answer, surely, is the hair of a head of a supernatural body.

Page 20

And, as if to confirm this supposition, the Iliad informs us that when the mighty Zeus sat down upon his throne the Heaven was shaken:

Zeus took his seat on the golden throne and great Olympus was shaken under his feet.3

Similarly, the Heaven was shaken by the movements of Zeus' wife Hera. Again in the Iliad, we read:

Queen Hera was angry. She tossed on her throne and shook the heights of Olympus...4


Were Zeus and Hera literally human-like giants, or are we simply dealing with exaggerated poetic metaphors? Or might there be more to it? Whatever the answer, these descriptions fit into a much wider theme of the gods' supernatural attributes.
Take the way the gods moved around, for example. Poseidon, the god of Atlantis, could descend from the highest mountain of Samos into the depths of the sea in four giant strides.5 Hera could move from Olympus to Lemnos by hopping from one mountain peak to another.6 Apollo, the Far-shooter, could move from Delphi to Thessaly in one stride and his footsteps could cause an entire island to shake.7 The aforementioned descent of Poseidon is described in the Iliad as follows:
Immediately the Earth-shaker [Poseidon] came down from the rocky mountain with fast strides, and the high mountains and the forests trembled under the immortal feet of Poseidon in motion. He took three strides and with the fourth reached his goal, Aigai, where his glorious palace was built in the depths of the water in gleaming gold, imperishable for ever.
Quite apart from Poseidon's supernatural footwork, we might well ask what kind of god had need of such a palace beneath the sea.
Supernatural motion went hand in hand with supernatural body-size and supernatural strength. Although the gods could and did take on the standard human form at will (see later), the true forms of the gods seem to have been literally superhuman. Thus, when the goddess Demeter took on human form in order to search for her missing daughter Persephone, she entered the palace at Eleusis and her head touched the ceiling.8 Thus, similarly, when Aphrodite visited the hero Anchises, she stood as tall as the roof.9 And thus, when the war-god Ares was felled by bright-eyed Athene, his body was said to have covered seven whole acres.10
Superhman size and strength feature particularly in those gods who fought the battle of the Titans. In Theogony, for example, Hesiod tells us / Page 21 / that the Hundred-handers had 'boundless strength'; when they went into battle, they wielded 'sheer cliffs' in their hands and when they launched their missiles they 'darkened the Titans' sky'.11 Later, when Zeus went into mid-air battle against the monstrous god Typhoeus, Heaven and Eart were shaken, and when Typhoeus' body plunged to the ground, the Earth 'burned far and wide'.12 And, in the aftermath of this battle, the superhuman god par excellence is encountered in the form of Atlas - the giant who was forced to, bear the Heave on his head and shoulders.

Men, too, were said to have had supernatural size and strength. In the Odyssey, Homer describes the god-like Otus and Ephialtes as follows:

... those short-lived twins, the god-like Otus and Ephialtes, famed in story, the largest men Earth ever nourished and finer by far than all but the glorious Orion. In their ninth year they were nine cubits across the shoulders and nine fathoms tall. It was this pair that threatened to go to war with the very gods on Olympus in the din and turmoil of battle. It was their ambition to pile Mount Ossa on Olympus and wooded Pelion on Ossa, to make a stairway up to Heaven."
The case of Otus and Ephialtes may be exceptional, but it is nevertheless consistent with the general idea that the half-gods — the heroes — could throw huge rocks which could not even be picked up by 'the folk that live now'.

Page VII

Reading Note 2
"I have used male pronouns throughout this book, and I apologise to anyone who finds this practice offensive; I have done so purely to avoid the constant clumsiness of 'he or she', 'himself or herself, 'his or her', et cetera. In addition, I have used the words 'man', 'men' and 'mankind' to refer, on occasions, to the entire human race. Absolutely no offence is intended towards women, and I certainly do not wish to suggest any inequality between the sexes..."

 

HAIR HEAD CODE DECODE CODE HEAD HAIR

DECODE CODE HEAD HAIR CODE DECODE

HA I R HEAD CO DE DE CO DE CO DE HEAD HA I R

DECODE CODE HEAD HAIR CODE DECODE

 

 

6
DECODE
-
-
-
-
D+E
9
9
9
1
C+O
18
9
9
-
D+E
9
9
9
6
DECODE
36
27
27
-
-
3+6
2+7
2+7
6
DECODE
9
9
9

 

 

HERA REAH HE HER RA ARE

HERE AM I AM HERE

ALWAYS

 

 

WAKEFIELD EXPRESS

Friday April 27 2007

Lindsay Pantry

Page 18

"It was a David and Goliath battle this week for the schools Rugby League U 14s cup final - or rather Wakefield versus Normanton."

"City High coach David Mansfield said; "We are really proud of the lads. We only started playing competitive rugby league last September and Freeston were county champions, so it was a real David and Goliath match."

 

 

COLLINS GEM DICTIONARY OF THE BIBLE

Rev

James L. Dow 1964

Page 195

"Giant. A race of demi-gods, the Nephilim, comparable to the Titans of classical mythology (Gen 6, 4). Other race names are given to people of remarkable stature who were aboriginal in Palestine before the conquest:"

"Goliath of Gath was 9ft. 9 in. tall."

 

-
GOLIATH
-
-
-
1
G
7
7
7
2
OL
27
9
9
1
I
9
9
9
3
ATH
29
2
2

7
GOLIATH
72
27
9
-
-
1+2+6
2+7
2+7

7
GOLIATH
9
9
9
-
-
-
-
-
-
-
-
-
-

7
GOLI ATH
72
27
9
3
OLI
36
18
9

4
GATH
36
18
9

7
GOLIATH
72
27
9

4
GATH
36
18
9

11
Add to Reduce
108
45
18
1+1
Reduce to Deduce
1+0+8
4+5
1+8

2
Essence of Number
9
9
9

 

 

7
GOLIATH
72
36
9
-
-
-
-
-
-
-
-
-
-
-
SAMSON
-
-
-
3
S+A+M
33
6
6
3
S+O+N
48
12
3

6
SAMSON
81
18
9
-
-
8+1
1+8
-

6
SAMSON
9
9
9

 

 

9
GILGAMESH
-
-
-
-
GILGA
36
27
9
-
SHEM
45
18
9
9
GILGAMESH
81
45
18
-
-
8+1
4+5
8+1
9
GILGAMESH
9
9
9

 

 

-
DAVID
-
-
-
-
D+A+V
27
9
9
-
I
9
9
9
-
D
4
4
4

5
DAVID
40
22
22
-
-
4+0
2+2
2+2

5
DAVID
4
4
4

 

 

THE FOLLOWING OF THE STAR

Florence L.Barclay 1911

Chapter 1

GOLD

Page 9

".........David........."

".........Bible........."

".........and David felt as did the young David of old, when he had paused at the brook and chosen five smooth stones for his sling, on his way to meet the mighty champion of the philistines, David now felt ready to go forward and fight the Goliath of apathy and inattention; the life long habit of not listening to the voice........."

".........David........."

 

 

THE ATLANTIS SECRET

A COMPLETE DECODING OF PLATOS LOST CONTINENT

Alan F. Alford 2001

Page 21

"Men, too, were said to have had supernatural size and strength. In the Odyssey, Homer describes the god-like Otus and Ephialtes as follows:

... those short-lived twins, the god-like Otus and Ephialtes, famed in story, the largest men Earth ever nourished and finer by far than all but the glorious Orion. In their ninth year they were nine cubits across the shoulders and nine fathoms tall."

 

 

4
OTUS
75
12
3
3
AND
19
10
1
9
EPHIALTES
95
41
5
16
First Total
189
63
9
1+6
Add to Reduce
1+8+9
6+3
-
7
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
7
Essence of Number
9
9
9

 

In their ninth year they were nine cubits across the shoulders and nine fathoms tall.

 

-
16
O
T
U
S
-
A
N
D
-
E
P
H
I
A
L
T
E
S
-
-
-
-
-
--
-
-
-
-
30
-
6
-
-
1
-
-
5
-
-
-
-
8
9
-
-
-
-
1
+
=
30
3+0
=
3
=
3
=
3
84
-
15
-
-
19
-
-
14
-
-
-
-
8
9
-
-
-
-
19
+
=
84
8+4
=
12
1+2
3
=
3
-
16
O
T
U
S
-
A
N
D
-
E
P
H
I
A
L
T
E
S
-
-
-
-
-
--
-
-
-
-
33
-
-
2
3
-
-
1
-
4
-
5
7
-
-
1
3
2
5
-
+
=
33
3+3
=
6
=
6
=
6
105
-
-
20
21
-
-
1
-
4
-
5
16
-
-
1
12
20
5
-
+
=
105
1+0+5
=
6
=
6
=
6
-
16
O
T
U
S
-
A
N
D
-
E
P
H
I
A
L
T
E
S
-
-
-
-
-
--
-
-
-
-
189
-
15
20
21
19
-
1
14
4
-
5
16
8
9
1
12
20
5
19
+
=
189
1+8+9
=
18
1+8
9
=
9
63
-
6
2
3
1
-
1
5
4
-
5
7
8
9
1
3
2
5
1
+
=
63
6+3
=
9
=
9
=
9
-
16
O
T
U
S
-
A
N
D
-
E
P
H
I
A
L
T
E
S
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
1
-
-
-
-
-
-
-
1
-
-
-
1
-
-
1
occurs
x
4
=
4
=
4
2
``-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
-
-
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
5
occurs
x
3
=
15
1+5
6
6
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
45
16
O
T
U
S
-
A
N
D
-
E
P
H
I
A
L
T
E
S
-
-
45
-
-
16
-
63
-
54
4+5
1+6
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
4+5
-
-
1+6
-
6+3
-
5+4
9
7
O
T
U
S
-
A
N
D
-
E
P
H
I
A
L
T
E
S
-
-
9
-
-
7
-
9
-
9
-
-
6
2
3
1
-
1
5
4
-
5
7
8
9
1
3
2
5
1
-
-
-
-
-
-
-
-
-
-
9
7
O
T
U
S
-
A
N
D
-
E
P
H
I
A
L
T
E
S
-
-
9
-
-
7
-
9
-
9

 

 

-
16
O
T
U
S
A
N
D
P
H
I
A
L
T
E
S
-
-
-
-
-
--
-
-
-
-
30
-
6
-
-
1
-
5
-
-
-
8
9
-
-
-
-
1
+
=
30
3+0
=
3
=
3
=
3
84
-
15
-
-
19
-
14
-
-
-
8
9
-
-
-
-
19
+
=
84
8+4
=
12
1+2
3
=
3
-
16
O
T
U
S
A
N
D
E
P
H
I
A
L
T
E
S
-
-
-
-
-
--
-
-
-
-
33
-
-
2
3
-
1
-
4
5
7
-
-
1
3
2
5
-
+
=
33
3+3
=
6
=
6
=
6
105
-
-
20
21
-
1
-
4
5
16
-
-
1
12
20
5
-
+
=
105
1+0+5
=
6
=
6
=
6
-
16
O
T
U
S
A
N
D
E
P
H
I
A
L
T
E
S
-
-
-
-
-
--
-
-
-
-
189
-
15
20
21
19
1
14
4
5
16
8
9
1
12
20
5
19
+
=
189
1+8+9
=
18
1+8
9
=
9
63
-
6
2
3
1
1
5
4
5
7
8
9
1
3
2
5
1
+
=
63
6+3
=
9
=
9
=
9
-
16
O
T
U
S
A
N
D
E
P
H
I
A
L
T
E
S
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
1
-
-
-
-
-
-
1
-
-
-
1
-
-
1
occurs
x
4
=
4
=
4
2
``-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
3
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
-
-
-
5
-
5
-
-
-
-
-
-
5
-
-
-
5
occurs
x
3
=
15
1+5
6
6
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
45
16
O
T
U
S
A
N
D
E
P
H
I
A
L
T
E
S
-
-
45
-
-
16
-
63
-
54
4+5
1+6
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
4+5
-
-
1+6
-
6+3
-
5+4
9
7
O
T
U
S
A
N
D
E
P
H
I
A
L
T
E
S
-
-
9
-
-
7
-
9
-
9
-
-
6
2
3
1
1
5
4
5
7
8
9
1
3
2
5
1
-
-
-
-
-
-
-
-
-
-
9
7
O
T
U
S
A
N
D
E
P
H
I
A
L
T
E
S
-
-
9
-
-
7
-
9
-
9

 

 

THE ATLANTIS SECRET

A COMPLETE DECODING OF PLATOS LOST CONTINENT

Alan F. Alford 2001

Page 21

"Men, too, were said to have had supernatural size and strength. In the Odyssey, Homer describes the god-like Otus and Ephialtes as follows:

... those short-lived twins, the god-like Otus and Ephialtes, famed in story, the largest men Earth ever nourished and finer by far than all but the glorious Orion. In their ninth year they were nine cubits across the shoulders and nine fathoms tall."

 

 

COLLINS GEM DICTIONARY OF THE BIBLE

Rev

James L. Dow 1964

Page 195

"Giant. A race of demi-gods, the Nephilim, comparable to the Titans of classical mythology (Gen 6, 4). Other race names are given to people of remarkable stature who were aboriginal in Palestine before the conquest:"

"Goliath of Gath was 9ft. 9 in. tall."

 

 

4
SHED
-
-
-
-
D
4
4
4
-
SHE
32
14
5
4
SHED
36
18
9
-
-
3+6
1+8
-
4
SHED
9
9
9

 

 

4
SHED
-
-
-
-
S+H
27
18
9
-
E+D
9
9
9
4
SHED
36
27
1+8
-
-
3+6
2+7
9
4
SHED
9
9
9

 

 

SHED SHED

 

4
SHED
-
-
-
-
S+H
27
18
9
-
E+D
9
9
9
-
S+H
27
18
9
-
E+D
9
9
9
4
SHED
72
54
36
-
-
7+2
5+4
3+6
4
SHED
9
9
9

 

 

SHAMANIC WISDOM IN THE PYRAMID TEXTS
THE MYSTICAL TRADITION OF ANCIENT EGYPT

Jeremy Naydler 2005
The Sarcophagus Chamber Texts

Page 271
Anubis, has been described as "the Egyptian shamanic deity par excellence," for it is he who not only presides over the initiatory rituals of death, dismemberment, and renewal but also provides the "celestial sledge" (shed­shed) on which the king travels to the Sky.

 

 

-
8
S
H
E
D
-
S
H
E
D
-
-
-
-
-
--
-
-
-
-
-
-
1
8
-
-
=
1
8
-
-
+
=
18
1+8
=
9
-
9
-
9
-
`-
19
8
-
-
=
19
8
-
-
+
=
54
5+4
=
9
-
9
-
9
-
8
S
H
E
D
-
S
H
E
D
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
4
=
-
-
5
4
+
=
18
1+8
=
9
=
9
-
9
-
8
S
H
E
D
-
S
H
E
D
-
-
-
-
-
-
-
-
-
-
-
`-
19
8
5
4
=
19
8
5
4
+
=
72
7+2
=
9
=
9
=
9
-
-
1
8
5
4
=
1
8
5
4
+
=
36
3+6
=
9
=
9
=
9
-
8
S
H
E
D
-
S
H
E
D
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
--
-
1
occurs
x
2
=
2
-
2
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
--
-
-
-
4
-
-
-
-
4
-
-
4
occurs
x
2
=
8
-
8
-
-
-
-
5
-
-
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
--
-
7
-
-
-
-
-
-
-
-
--
-
8
-
-
-
-
8
-
-
-
-
8
occurs
x
2
=
16
1+6
7
9
-
-
-
-
-
-
-
-
-
-
--
-
9
-
-
-
-
-
-
-
27
8
S
H
E
D
-
S
H
E
D
-
-
18
-
-
8
-
36
-
18
2+7
1+0
1
8
5
4
=
1
8
5
4
-
-
1+8
-
-
-
-
3+6
-
1+8
9
8
S
H
E
D
-
S
H
E
D
-
-
9
-
-
8
-
9
-
9
-
--
1
8
5
4
=
1
8
5
4
-
-
1+8
-
-
-
-
3+6
-
1+8
9
8
S
H
E
D
-
S
H
E
D
-
-
9
-
-
8
-
9
-
9

 

 

-
8
S
H
E
D
-
S
H
E
D
-
-
-
-
-
--
-
-
-
-
-
-
1
8
-
-
=
1
8
-
-
+
=
18
1+8
=
9
-
9
-
9
-
`-
19
8
-
-
=
19
8
-
-
+
=
54
5+4
=
9
-
9
-
9
-
8
S
H
E
D
-
S
H
E
D
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
4
=
-
-
5
4
+
=
18
1+8
=
9
=
9
-
9
-
8
S
H
E
D
-
S
H
E
D
-
-
-
-
-
-
-
-
-
-
-
`-
19
8
5
4
=
19
8
5
4
+
=
72
7+2
=
9
=
9
=
9
-
-
1
8
5
4
=
1
8
5
4
+
=
36
3+6
=
9
=
9
=
9
-
8
S
H
E
D
-
S
H
E
D
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
--
-
1
occurs
x
2
=
2
-
2
-
--
-
-
-
4
-
-
-
-
4
-
-
4
occurs
x
2
=
8
-
8
-
-
-
-
5
-
-
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
--
-
8
-
-
-
-
8
-
-
-
-
8
occurs
x
2
=
16
1+6
7
27
8
S
H
E
D
-
S
H
E
D
-
-
18
-
-
8
-
36
-
18
2+7
1+0
1
8
5
4
=
1
8
5
4
-
-
1+8
-
-
-
-
3+6
-
1+8
9
8
S
H
E
D
-
S
H
E
D
-
-
9
-
-
8
-
9
-
9
-
--
1
8
5
4
=
1
8
5
4
-
-
1+8
-
-
-
-
3+6
-
1+8
9
8
S
H
E
D
-
S
H
E
D
-
-
9
-
-
8
-
9
-
9

 

 

4
SHED
-
-
-
-
D
4
4
4
-
SHE
32
14
5
4
SHED
36
18
9
-
-
3+6
1+8
-
4
SHED
9
9
9

 

 

6
DECODE
-
-
-
-
D+E
9
9
9
1
C+O
18
9
9
-
D+E
9
9
9
6
DECODE
36
27
27
-
-
3+6
2+7
2+7
6
DECODE
9
9
9

 

 

-
4
D
E
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
6
-
-
+
=
6
-
=
6
=
6
=
6
-
-
-
-
-
15
-
-
+
=
15
1+5
=
6
=
6
=
6
-
4
D
E
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
-
4
5
3
-
4
5
+
=
21
2+1
=
3
=
3
=
3
-
4
D
E
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
-
4
5
3
15
4
5
+
=
36
3+6
=
9
=
9
=
9
-
-
4
5
3
6
4
5
+
=
27
2+7
=
9
=
9
=
9
-
4
D
E
C
O
D
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
4
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
27
4
D
E
C
O
D
E
-
-
18
-
-
4
-
27
-
18
2+7
-
-
-
-
-
-
-
-
-
1+8
-
-
-
-
2+7
-
1+8
9
4
D
E
C
O
D
E
-
-
9
-
-
4
-
9
-
9
-
-
4
5
3
6
4
5
-
-
-
-
-
-
-
-
-
-
9
4
D
E
C
O
D
E
-
-
9
-
-
4
-
9
-
9

 

 

4
D
E
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
6
-
-
+
=
6
-
=
6
=
6
=
6
-
-
-
-
15
-
-
+
=
15
1+5
=
6
=
6
=
6
4
D
E
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
4
5
3
-
4
5
+
=
21
2+1
=
3
=
3
=
3
4
D
E
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
4
5
3
15
4
5
+
=
36
3+6
=
9
=
9
=
9
-
4
5
3
6
4
5
+
=
27
2+7
=
9
=
9
=
9
4
D
E
C
O
D
E
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
4
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
5
-
-
-
-
6
occurs
x
1
=
6
=
6
4
D
E
C
O
D
E
-
-
18
-
-
4
-
27
-
18
-
-
-
-
-
-
-
-
-
1+8
-
-
-
-
2+7
-
1+8
4
D
E
C
O
D
E
-
-
9
-
-
4
-
9
-
9
-
4
5
3
6
4
5
-
-
-
-
-
-
-
-
-
-
4
D
E
C
O
D
E
-
-
9
-
-
4
-
9
-
9

 

 

-
4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
6
-
-
+
=
6
-
=
6
=
6
-
-
-
15
-
-
+
=
15
1+5
=
6
=
6
-
4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
3
-
4
5
+
=
12
1+2
=
3
=
3
-
4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
3
15
4
5
+
=
27
2+7
=
9
=
9
-
-
3
6
4
5
+
=
18
1+8
=
9
=
9
-
4
C
O
D
E
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
7
-
-
-
-
-
8
-
-
-
-
-
-
-
8
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
27
4
C
O
D
E
-
-
18
-
-
4
-
18
2+7
-
3
6
4
5
-
-
1+8
-
-
-
-
1+8
9
4
C
O
D
E
-
-
9
-
-
4
-
9

 

 

4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
6
-
-
+
=
6
-
=
6
=
6
-
-
15
-
-
+
=
15
1+5
=
6
=
6
4
C
O
D
E
-
-
-
-
-
--
-
-
-
3
-
4
5
+
=
12
1+2
=
3
=
3
4
C
O
D
E
-
-
-
-
-
--
-
-
-
3
15
4
5
+
=
27
2+7
=
9
=
9
-
3
6
4
5
+
=
18
1+8
=
9
=
9
4
C
O
D
E
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
4
-
-
-
4
occurs
x
1
=
4
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
-
6
-
-
-
-
6
occurs
x
1
=
6
4
C
O
D
E
-
-
18
-
-
4
-
18
-
3
6
4
5
-
-
1+8
-
-
-
-
1+8
4
C
O
D
E
-
-
9
-
-
4
-
9

 

 

-
SIGN
-
-
-
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
1
N
14
5
5
4
SIGN
49
31
22
-
-
4+9
3+1
2+2
4
SIGN
13
4
4
-
--
1+3
-
-
4
SIGN
4
4
4

 

 

-
6
S
I
G
N
-
-
-
-
-
-
-
-
-
-
1
9
-
5
+
=
15
1+5
=
6
=
6
-
-
19
9
-
14
+
=
42
4+2
=
6
=
6
-
6
S
I
G
N
-
-
-
-
-
--
-
-
-
-
-
-
7
-
+
=
7
-
=
7
=
7
-
6
S
I
G
N
-
-
-
-
-
--
-
-
-
-
19
9
7
14
+
=
49
4+9
=
13
 1+3
4
-
-
1
9
7
5
+
=
22
2+2
=
4
-
4
-
6
S
I
G
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
2
-
-
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
4
-
-
--
--
--
-
-
4
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
-
-
6
-
-
--
--
--
-
-
6
-
-
--
--
--
-
-
-
-
7
-
-
-
7
occurs
x
1
=
7
8
-
-
--
--
--
-
-
8
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
23
6
S
I
G
N
-
-
22
-
-
4
-
22
2+3
  
-
9
-
-
-
-
2+2
-
-
-
-
2+2
5
6
S
I
G
N
-
-
4
-
-
4
-
4
-
-
1
9
7
5
-
-
-
-
-
-
-
-
5
6
S
I
G
N
-
-
4
-
-
4
-
4

 

 

-
6
S
I
G
N
-
-
-
-
-
--
-
-
-
-
1
9
-
5
+
=
15
1+5
=
6
=
6
-
-
19
9
-
14
+
=
42
4+2
=
6
=
6
-
6
S
I
G
N
-
-
-
-
-
--
-
-
-
-
-
-
7
-
+
=
7
-
=
7
=
7
-
6
S
I
G
N
-
-
-
-
-
--
-
-
-
-
19
9
7
14
+
=
49
4+9
=
13
1+3
4
-
-
1
9
7
5
+
=
22
2+2
=
4
-
4
-
6
S
I
G
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
-
-
-
7
-
-
-
7
occurs
x
1
=
7
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
23
6
S
I
G
N
-
-
22
-
-
4
-
22
2+3
-
9
-
-
-
-
2+2
-
-
-
-
2+2
5
6
S
I
G
N
-
-
4
-
-
4
-
4
-
-
1
9
7
5
-
-
-
-
-
-
-
-
5
6
S
I
G
N
-
-
4
-
-
4
-
4

 

 

5
HORUS
-
-
-
-
H+O
23
14
5
-
R
18
9
9
9
U+S
40
13
4
5
HORUS
81
36
18
-
-
8+1
3+6
1+8
5
HORUS
9
9
9

 

 

-
5
H
O
R
U
S
-
-
-
-
-
--
-
-
-
-
8
6
-
-
1
+
=
15
1+5
=
6
=
6
-
-
8
15
-
-
19
+
=
42
4+2
=
6
=
6
-
5
H
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
-
9
3
-
+
=
12
1+2
=
3
=
3
-
-
-
-
18
21
-
+
=
39
3+9
=
12
1+2
3
-
5
H
O
R
U
S
-
-
-
-
-
--
-
-
-
-
8
15
18
21
19
+
=
81
8+1
=
9
=
9
-
-
8
6
9
3
1
+
=
27
2+7
=
9
=
9
-
5
H
O
R
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
5
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
7
SEVEN
-
-
-
-
-
-
8
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
18
5
H
O
R
U
S
-
-
27
-
-
5
-
27
1+8
-
-
-
9
-
-
-
-
2+7
-
-
-
-
2+7
9
5
H
O
R
U
S
-
-
9
-
-
5
-
9
-
-
8
6
9
3
1
-
-
-
-
-
-
-
-
9
5
H
O
R
U
S
-
-
9
-
-
5
-
9

 

 

5
H
O
R
U
S
-
-
-
-
-
--
-
-
-
8
6
-
-
1
+
=
15
1+5
=
6
=
6
-
8
15
-
-
19
+
=
42
4+2
=
6
=
6
5
H
O
R
U
S
-
-
-
-
-
--
-
-
-
-
-
9
3
-
+
=
12
1+2
=
3
=
3
-
-
-
18
21
-
+
=
39
3+9
=
12
1+2
3
5
H
O
R
U
S
-
-
-
-
-
--
-
-
-
8
15
18
21
19
+
=
81
8+1
=
9
=
9
-
8
6
9
3
1
+
=
27
2+7
=
9
=
9
5
H
O
R
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
-
8
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
5
H
O
R
U
S
-
-
27
-
-
5
-
27
-
-
-
9
-
-
-
-
2+7
-
-
-
-
2+7
5
H
O
R
U
S
-
-
9
-
-
5
-
9
-
8
6
9
3
1
-
-
-
-
-
-
-
-
5
H
O
R
U
S
-
-
9
-
-
5
-
9

 

SHEMSU HOR

 

 

I
=
9
-
2
IN
23
14
5
L
=
3
-
5
LIGHT
56
29
2
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
THE
33
15
6
W
=
5
-
3
WOW
61
16
7
S
=
1
-
6
SIGNAL
62
26
8
A
=
1
-
3
AND
19
10
1
S
=
1
-
4
SETI
53
17
8
L
=
3
-
2
LO
27
9
9
A
=
1
-
3
AND
19
10
1
B
=
2
-
6
BEHOLD
46
28
1
S
=
1
-
4
SUCH
51
15
6
A
=
1
-
1
A
1
1
1
S
=
1
-
6
SIGNAL
62
26
8
A
=
1
-
2
AS
20
2
2
T
=
2
-
4
THAT
49
13
4
-
-
40
4
56
First Total
603
243
72
-
-
4+0
-
5+6
Add to Reduce
6+0+3
2+4+3
7+2
-
-
4
-
11
Second Total
9
9
9
-
-
-
-
1+1
Reduce to Deduce
-
-
-
-
-
4
-
2
Essence of Number
9
9
9

 

 

8
QUO VADIS
108
36
9
6
VOX POP
108
36
9
8
INSTINCT
108
36
9
11
DESCENDANTS
108
36
9
11
SORROW
108
36
9
8
STARTING
108
36
9
9
COMPLETES
108
36
9
7
JOURNEY
108
36
9

 

 

1
I
9
9
9
3
SAY
45
9
9
7
DECODER
54
36
9
6
DECODE
36
27
9
4
CODE
27
18
9
-
-
-
-
-
-
-
-
-
-
5
CODED
31
22
4
5
CODES
46
19
1

 

 

-
CODE
--
-
-
2
C+O
18
9
9
2
D+E
9
9
9
-
DECODE
--
-
-
2
D+E
9
9
9
2
C+O
18
9
9
2
D+E
9
9
9
-
DECODER
--
-
-
2
D+E
9
9
9
2
C+O
18
9
9
2
D+E
9
9
9
1
R
18
9
9

 

 

CODE DE CODE

C+O D+E D+E C+O D+E

9+9+9+9+9

C+O D+E D+E C+O D+E

CODE DE CODE

 

-
4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
-
6
-
-
+
=
6
-
=
6
=
6
-
-
-
15
-
-
+
=
15
1+5
=
6
=
6
-
4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
3
-
4
5
+
=
12
1+2
=
3
=
3
-
-
3
-
4
5
+
=
12
1+2
=
3
=
3
-
4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
3
15
4
5
+
=
27
2+7
=
9
=
9
-
-
3
6
4
5
+
=
18
1+8
=
9
=
9
-
4
C
O
D
E
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
ONE
1
-
-
-
2
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
9
NINE
9
-
-
-
27
4
C
O
D
E
-
-
18
-
-
4
-
18
2+7
-
-
-
-
-``
-
-
1+8
-
-
-
-
1+8
9
4
C
O
D
E
-
-
9
-
-
4
-
9
-
-
3
6
4
5
-
-
-
-
-
-
-
-
9
4
C
O
D
E
-
-
9
-
-
4
-
9

 

 

4
C
O
D
E
-
-
-
-
-
--
-
-
-
-
6
-
-
+
=
6
-
=
6
=
6
-
-
15
-
-
+
=
15
1+5
=
6
=
6
4
C
O
D
E
-
-
-
-
-
--
-
-
-
3
-
4
5
+
=
12
1+2
=
3
=
3
-
3
-
4
5
+
=
12
1+2
=
3
=
3
4
C
O
D
E
-
-
-
-
-
--
-
-
-
3
15
4
5
+
=
27
2+7
=
9
=
9
-
3
6
4
5
+
=
18
1+8
=
9
=
9
4
C
O
D
E
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
4
-
-
-
4
occurs
x
1
=
4
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
-
6
-
-
-
-
6
occurs
x
1
=
6
4
C
O
D
E
-
-
18
-
-
4
-
18
-
-
-
-
-``
-
-
1+8
-
-
-
-
1+8
4
C
O
D
E
-
-
9
-
-
4
-
9
-
3
6
4
5
-
-
-
-
-
-
-
-
4
C
O
D
E
-
-
9
-
-
4
-
9

 

 

-
SIGNAL
-
-
-
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
3
NAL
27
9
9
7
SIGNAL
62
35
26
-
-
6+2
3+5
2+6
7
SIGNAL
8
8
8

 

 

-
6
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
1
9
-
5
-
-
+
=
15
1+5
=
6
=
6
-
-
19
9
-
14
-
-
+
=
42
4+2
=
6
=
6
-
6
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
-
-
7
-
1
3
+
=
11
1+1
=
2
=
2
-
-
-
-
7
-
1
12
+
=
20
2+0
=
2
=
2
-
6
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
19
9
7
14
1
12
+
=
62
6+2
=
8
=
8
-
-
1
9
7
5
1
3
+
=
26
2+6
=
8
=
8
-
6
S
I
G
N
A
L
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
occurs
x
2
=
2
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
4
-
--
--
--
--
--
--
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
6
-
-
--
--
--
--
--
-
-
6
SIX
6
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
8
-
-
--
--
--
--
--
-
-
8
EIGHT
8
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
20
6
S
I
G
N
A
L
-
-
25
-
-
6
-
26
2+0
-
-
9
-
-
-
-
-
-
2+5
-
-
-
-
2+6
2
6
S
I
G
N
A
L
-
-
7
-
-
6
-
9
-
-
1
9
7
5
1
3
-
-
-
-
-
-
-
-
2
6
S
I
G
N
A
L
-
-
7
-
-
6
-
9

 

 

-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
1
9
-
5
-
-
+
=
15
1+5
=
6
=
6
-
19
9
-
14
-
-
+
=
42
4+2
=
6
=
6
6
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
-
7
-
1
3
+
=
11
1+1
=
2
=
2
-
-
-
7
-
1
12
+
=
20
2+0
=
2
=
2
6
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
19
9
7
14
1
12
+
=
62
6+2
=
8
-
8
-
1
9
7
5
1
3
+
=
26
2+6
=
8
-
8
6
S
I
G
N
A
L
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
occurs
x
2
=
1
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
6
S
I
G
N
A
L
-
-
25
-
-
6
-
26
-
-
9
-
-
-
-
-
-
2+5
-
-
-
-
2+6
6
S
I
G
N
A
L
-
-
7
-
-
7
-
9
-
1
9
7
5
1
3
-
-
-
-
-
-
-
-
6
S
I
G
N
A
L
-
-
7
-
-
7
-
9

 

 

SIGNALS WHAT SIGNALS

 

 

7
SIGNALS
81
27
9
4
WHAT
52
16
7
7
SIGNALS
81
27
9

 

 

-
SIGNALS
-
-
-
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
3
NAL
27
9
9
1
S
19
10
1
7
SIGNALS
81
45
27
-
--
8+1
4+5
2+7
7
SIGNALS
9
9
9

 

 

-
7
S
I
G
N
A
L
S
-
-
-
-
-
--
-
-
-
-
1
9
-
5
-
-
1
+
=
16
1+6
=
7
=
7
-
-
19
9
-
14
-
-
19
+
=
61
6+1
=
7
=
7
-
7
S
I
G
N
A
L
S
-
-
-
-
-
--
-
-
-
-
-
-
7
-
1
3
-
+
=
11
1+1
=
2
=
2
-
-
-
-
7
-
1
12
-
+
=
20
2+0
=
2
=
2
-
7
S
I
G
N
A
L
S
-
-
-
-
-
--
-
-
-
-
19
9
7
14
1
12
19
+
=
81
8+1
=
9
-
9
-
-
1
9
7
5
1
3
1
+
=
27
2+7
=
9
-
9
-
7
S
I
G
N
A
L
S
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
1
-
-
1
occurs
x
3
=
3
2
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
--
--
--
--
--
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
5
-
-
-
-
-
5
occurs
x
1
=
5
6
-
-
--
--
--
--
--
-
-
-
6
SIX
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
8
-
-
--
--
--
--
--
-
-
-
8
EIGHT
8
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
20
7
S
I
G
N
A
L
S
-
-
25
-
-
7
-
27
2+0
-
1
-
-
-
1
-
1
-
-
2+5
-
-
-
-
2+7
2
7
S
I
G
N
A
L
S
-
-
7
-
-
7
-
9
-
-
1
9
7
5
1
3
1
-
-
-
-
-
-
-
-
2
7
S
I
G
N
A
L
S
-
-
7
-
-
7
-
9

 

 

7
S
I
G
N
A
L
S
-
-
-
-
-
--
-
-
-
1
9
-
5
-
-
1
+
=
16
1+6
=
7
=
7
-
19
9
-
14
-
-
19
+
=
61
6+1
=
7
=
7
7
S
I
G
N
A
L
S
-
-
-
-
-
--
-
-
-
-
-
7
-
1
3
-
+
=
11
1+1
=
2
=
2
-
-
-
7
-
1
12
-
+
=
20
2+0
=
2
=
2
7
S
I
G
N
A
L
S
-
-
-
-
-
--
-
-
-
19
9
7
14
1
12
19
+
=
81
8+1
=
9
-
9
-
1
9
7
5
1
3
1
+
=
27
2+7
=
9
-
9
7
S
I
G
N
A
L
S
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
1
-
-
1
occurs
x
3
=
3
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
-
-
5
-
-
-
-
-
5
occurs
x
1
=
5
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
7
S
I
G
N
A
L
S
-
-
25
-
-
7
-
27
-
-
9
-
-
-
-
-
-
-
2+5
-
-
-
-
2+7
7
S
I
G
N
A
L
S
-
-
7
-
-
7
-
9
-
1
9
7
5
1
3
1
-
-
-
-
-
-
-
-
7
S
I
G
N
A
L
S
-
-
7
-
-
7
-
9

 

 

-
A SIGNAL
-
-
-
1
A
1
1
1
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
3
NAL
27
9
9
7
A SIGNAL
63
36
27
-
-
6+3
3+6
2+7
7
A SIGNAL
9
9
9

 

 

-
7
A
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
-
-
1
9
-
5
-
-
+
=
15
1+5
=
6
=
6
-
-
-
-
19
9
-
14
-
-
+
=
42
4+2
=
6
=
6
-
7
A
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
1
-
-
-
7
-
1
3
+
=
12
1+1
=
3
=
3
-
-
1
-
-
-
7
-
1
12
+
=
21
2+1
=
3
=
3
-
7
A
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
1
-
19
9
7
14
1
12
+
=
63
6+3
=
9
=
9
-
-
1
-
1
9
7
5
1
3
+
=
27
2+7
=
9
=
9
-
7
A
-
S
I
G
N
A
L
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
1
-
-
-
1
occurs
x
3
=
3
2
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
4
-
--
-
-
--
--
--
--
--
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
6
-
--
-
-
--
--
--
--
--
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
8
-
--
-
-
--
--
--
--
--
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
20
7
A
-
S
I
G
N
A
L
-
-
25
-
-
7
-
27
2+0
-
-
-
-
9
-
-
-
-
-
-
2+5
-
-
-
-
2+7
2
7
A
-
S
I
G
N
A
L
-
-
7
-
-
7
-
9
-
-
1
-
1
9
7
5
1
3
-
-
-
-
-
-
-
-
2
7
A
-
S
I
G
N
A
L
-
-
7
-
-
7
-
9

 

 
A
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
-
1
9
-
5
-
-
+
=
15
1+5
=
6
=
6
-
-
-
19
9
-
14
-
-
+
=
42
4+2
=
6
=
6
7
A
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
1
-
-
-
7
-
1
3
+
=
12
1+1
=
3
-
3
-
1
-
-
-
7
-
1
12
+
=
21
2+1
=
3
-
3
7
A
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
1
-
19
9
7
14
1
12
+
=
63
6+3
=
9
-
9
-
1
-
1
9
7
5
1
3
+
=
27
2+7
=
9
-
9
7
A
-
S
I
G
N
A
L
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
1
-
-
-
1
occurs
x
3
=
3
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
7
A
-
S
I
G
N
A
L
-
-
25
-
-
7
-
27
-
-
-
-
9
-
-
-
-
-
-
2+5
-
-
-
-
2+7
7
A
-
S
I
G
N
A
L
-
-
7
-
-
7
-
9
-
1
-
1
9
7
5
1
3
-
-
-
-
-
-
-
-
7
A
-
S
I
G
N
A
L
-
-
7
-
-
7
-
9

 

 

-
O THAT SIGNAL
--
--
--
1
O
15
6
6
1
T
20
2
2
2
HA
9
9
9
1
T
20
2
2
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
3
NAL
27
9
9
11
O THAT SIGNAL
126
54
45
1+1
-
1+2+6
5+4
4+5
2
O THAT SIGNAL
9
9
9

 

 

-
O THAT SIGNAL
--
--
--
1
O
15
6
6
4
THAT
49
13
4
6
SIGNAL
62
26
8
11
O THAT SIGNAL
126
45
18
1+1
-
1+2+6
4+5
1+8
2
O THAT SIGNAL
9
9
9

 

 

-
11
O
-
T
H
A
T
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
6
-
-
8
-
-
-
1
9
-
5
-
-
+
=
29
2+9
=
11
1+1
2
-
-
15
-
-
8
-
-
-
19
9
-
14
-
-
+
=
65
6+5
=
11
1+1
2
-
11
O
-
T
H
A
T
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
-
-
2
-
1
2
-
-
-
7
-
1
3
+
=
16
1+6
=
7
=
7
-
-
-
-
20
-
1
20
-
-
-
7
-
1
12
+
=
61
6+1
=
7
=
7
-
11
O
-
T
H
A
T
-
S
I
G
N
A
L
-
-
-
-
-
--
-
-
-
-
15
-
20
8
1
20
-
19
9
7
14
1
12
+
=
126
1+2+6
=
9
-
9
-
-
6
-
2
8
1
2
-
1
9
7
5
1
3
+
=
45
4+5
=
9
-
9
-
11
O
-
T
H
A
T
-
S
I
G
N
A
L
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
1
-
-
-
1
occurs
x
3
=
3
-
-
-
-
2
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
--
-
-
-
--
--
--
--
--
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
6
-
-
-
--
-
-
-
--
--
--
--
--
-
-
6
occurs
x
1
=
6
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
-
8
--
-
-
-
--
--
--
--
--
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
4
11
O
-
T
H
A
T
-
S
I
G
N
A
L
-
-
41
-
-
11
-
45
-
1+1
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
4+1
-
-
1+1
-
4+5
4
2
O
-
T
H
A
T
-
S
I
G
N
A
L
-
-
5
-
-
2
-
9
-
-
6
-
2
8
1
2
-
1
9
7
5
1
3
-
-
-
-
-
-
-
-
4
2
O
-
T
H
A
T
-
S
I
G
N
A
L
-
-
5
-
-
2
-
9

 

 

1
I
9
9
9
2
AM
14
5
5
3
THE
33
15
6
6
BOWMAN
68
23
5
1
I
9
9
9
4
DRAW
46
19
1
3
THE
33
15
6
5
GREAT
51
24
6
3
BOW
40
13
4
28
First Total
303
132
51
2+8
Add to Reduce
3+0+3
1+3+2
5+1
10
Second Total
6
6
6
1+0
Reduce to Deduce
-
-
-
1
Essence of Number
6
6
6

 

 

-
QUO VADIS
-
-
-
1
Q
17
8
8
2
UO
36
9
9
3
VAD
27
9
9
1
I
9
9
9
1
S
19
1
1
8
QUO VADIS
108
36
36
-
-
1+0+8
3+6
3+6
8
QUO VADIS
9
9
9

 

 

-
QUO VADIS
-
-
-
3
QUO
53
17
8
5
VADIS
55
19
1
8
QUO VADIS
108
36
9
-
-
1+0+8
3+6
3+6
8
QUO VADIS
9
9
9

 

 

8
QUO VADIS
108
36
9

 

 

-
8
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
9
1
+
=
16
1+6
=
7
-
7
-
-
-
-
15
-
-
-
-
9
19
+
=
43
-
=
7
-
1
-
8
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
-
8
3
-
-
4
1
4
-
-
+
=
20
2+0
=
20
2+0
2
-
-
17
21
-
-
22
1
4
-
-
+
=
65
6+5
=
11
1+1
2
-
8
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
-
17
21
15
-
22
1
4
9
19
+
=
108
1+0+8
=
9
-
9
-
-
8
3
6
-
4
1
4
9
1
+
=
36
3+6
=
9
-
9
-
8
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
2
``-
-
-
-
--
-
-
-
-
-
-
-
2
-
-
-
-
-
-
``-
-
3
-
--
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
-
4
-
4
-
-
-
-
4
occurs
x
2
=
8
5
-
-
-
-
--
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
6
--
-
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
--
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
--
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
--
-
-
-
9
-
-
-
9
occurs
x
1
=
9
14
8
Q
U
O
-
V
A
D
I
S
-
-
31
-
-
8
-
36
1+4
-
-
-
-
--
-
-
-
9
-
-
-
3+1
-
-
-
-
3+6
5
8
Q
U
O
-
V
A
D
I
S
-
-
4
-
-
8
-
9
-
-
8
3
6
-
4
1
4
9
1
-
-
-
-
-
-
-
-
5
8
Q
U
O
-
V
A
D
I
S
-
-
4
-
-
8
-
9

 

 
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
9
1
+
=
16
1+6
=
7
-
7
-
-
-
15
-
-
-
-
9
19
+
=
43
-
=
7
-
1
8
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
8
3
-
-
4
1
4
-
-
+
=
20
2+0
=
20
2+0
2
-
17
21
-
-
22
1
4
-
-
+
=
65
6+5
=
11
1+1
2
8
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
17
21
15
-
22
1
4
9
19
+
=
108
1+0+8
=
9
-
9
-
8
3
6
-
4
1
4
9
1
+
=
36
3+6
=
9
-
9
8
Q
U
O
-
V
A
D
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
-
-
3
-
--
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
4
-
4
-
-
-
-
4
occurs
x
2
=
8
-
-
-
6
--
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
8
-
-
--
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
--
-
-
-
9
-
-
-
9
occurs
x
1
=
9
8
Q
U
O
-
V
A
D
I
S
-
-
31
-
-
8
-
36
-
-
-
-
--
-
-
-
9
-
-
-
3+1
-
-
-
-
3+6
8
Q
U
O
-
V
A
D
I
S
-
-
4
-
-
8
-
9
-
8
3
6
-
4
1
4
9
1
-
-
-
-
-
-
-
-
8
Q
U
O
-
V
A
D
I
S
-
-
4
-
-
8
-
9

 

 

7
WHITHER
91
46
1
5
GOEST
66
21
3
4
THOU
64
19
1
16
-
221
86
5
1+6
-
2+2+1
8+6
-
7
-
5
14
5
-
-
-
1+4
-
7
-
5
5
5

 

 

3
GOD
26
17
8
2
IS
28
10
1
10
EVERYWHERE
134
62
8
2
IS
28
10
1
10
EVERYTHING
133
61
7
2
IS
28
10
1
6
ALWAYS
81
18
9
2
IS
28
10
1

 

 

GOD ONE GOD

AND ONE CHOSEN RACE THE HUMAN RACE

 

 

HOLY BIBLE

Scofield References

C 1 V 16

THE ACTS OF THE APOSTLES

Page 1148 (Part quoted)

"MEN AND BRETHREN THIS SCRIPTURE MUST NEEDS HAVE BEEN FULFILLED

WHICH THE HOLY GHOST BY THE MOUTH OF DAVID SPAKE"

 

 

 
 
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