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THE NUCLEAR FAMILY 1969

 

 

 

I AM THE OPPOSITE OF THE OPPOSITE I AM THE OPPOSITE OF OPPOSITE IS THE AM I ALWAYS AM

 

 

 

Y
=
3
``-
3
YOU
61
16
7
A
=
1
-
3
ARE
24
15
6
G
=
7
-
5
GOING
52
34
7
O
=
6
-
2
ON
29
11
2
A
=
1
-
1
A
1
1
1
J
=
1
``-
7
JOURNEY
108
36
9
A
=
1
-
1
A
1
1
1
V
=
4
-
4
VERY
70
25
7
S
=
1
-
7
SPECIAL
65
29
2
J
=
1
-
7
JOURNEY
108
36
9
D
=
4
``-
2
DO
19
10
1
H
=
8
-
4
HAVE
36
18
9
A
=
1
-
1
A
1
1
1
P
=
7
-
8
PLEASANT
88
25
7
J
=
1
-
7
JOURNEY
108
36
9
D
=
4
``-
2
DO
19
10
1
``-
-
55
``-
54
First Total
790
304
79
-
-
5+5
-
5+4
Add to Reduce
7+9+0
3+0+4
7+9
-
-
10
-
9
Second Total
16
7
16
-
-
1+0
-
-
Reduce to Deduce
1+6
-
1+6
-
-
1
-
9
Essence of Number
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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

 

 

 

 

 

 

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
-
-
-
-
-
-
-
-
-
1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
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
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
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

 

 

 

 

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
-
-
-
-
-
-
-
-
-
1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
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
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
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

 

 

 

 

MIND MATTER MIND

MIN DOTH DREAM WHAT DOTH MIN MEAN

 

 

ARITHMETIC

ADDITION SUBTRACTION MULTIPLICATION AND DIVISION

 

A
=
1
-
10
ARITHMETIC
106
52
7
A
=
1
-
8
ADDITION
76
40
4
S
=
1
-
11
SUBTRACTION
142
43
7
M
=
4
-
14
MULTIPLICATION
174
66
3
D
=
4
-
8
DIVISION
101
47
2
-
-
11
-
51
First Total
599
248
23
-
-
1+1
-
5+1
Add to Reduce
5+9+9
2+4+8
2+3
-
-
2
-
6
Second Total
23
14
5
-
-
-
-
-
Reduce to Deduce
2+3
1+4
-
-
-
2
-
6
Essence of Number
5
5
5

 

 

A
=
1
-
10
ARITHMETIC
106
52
7
-
-
-
-
-
-
-
-
-
A
=
1
-
8
ADDITION
76
40
4
S
=
1
-
11
SUBTRACTION
142
43
7
M
=
4
-
14
MULTIPLICATION
174
66
3
D
=
4
-
8
DIVISION
101
47
2
-
-
10
-
41
First Total
493
196
16
-
-
1+0
-
4+1
Add to Reduce
4+9+3
1+9+6
1+6
-
-
1
-
5
Second Total
16
16
7
-
-
-
-
-
Reduce to Deduce
1+6
1+6
-
-
-
1
-
5
Essence of Number
7
7
7

 

 

ARITHMETIC

ADDITION SUBTRACTION MULTIPLICATION AND DIVISION

"addition, subtraction, multiplication and division"

Arithmetic - Wikipedia
https://en.wikipedia.org/wiki/Arithmetic_operations

Decimal arithmetic. If an individual product of a pair of digits exceeds 9, the carry adjustment increases the result of any subsequent multiplication from digits to the left by a value equal to the second (leftmost) digit, which is any value from 1 to 8 ( 9 × 9 = 81 ). Additional steps define the final result.
History · Arithmetic operations · Decimal arithmetic · Compound unit arithmetic · Number theory

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For the song by Brooke Fraser, see Arithmetic (song).

Arithmetic tables for children, Lausanne, 1835
Arithmetic (from the Greek arithmos, "number" and t??? [t????], tiké [téchne], "art") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.[1]

Main article: History of arithmetic
The prehistory of arithmetic is limited to a small number of artifacts which may indicate the conception of addition and subtraction, the best-known being the Ishango bone from central Africa, dating from somewhere between 20,000 and 18,000 BC, although its interpretation is disputed.[2]
The earliest written records indicate the Egyptians and Babylonians used all the elementary arithmetic operations as early as 2000 BC. These artifacts do not always reveal the specific process used for solving problems, but the characteristics of the particular numeral system strongly influence the complexity of the methods. The hieroglyphic system for Egyptian numerals, like the later Roman numerals, descended from tally marks used for counting. In both cases, this origin resulted in values that used a decimal base but did not include positional notation. Complex calculations with Roman numerals required the assistance of a counting board or the Roman abacus to obtain the results.
Early number systems that included positional notation were not decimal, including the sexagesimal (base 60) system for Babylonian numerals and the vigesimal (base 20) system that defined Maya numerals. Because of this place-value concept, the ability to reuse the same digits for different values contributed to simpler and more efficient methods of calculation.
The continuous historical development of modern arithmetic starts with the Hellenistic civilization of ancient Greece, although it originated much later than the Babylonian and Egyptian examples. Prior to the works of Euclid around 300 BC, Greek studies in mathematics overlapped with philosophical and mystical beliefs. For example, Nicomachus summarized the viewpoint of the earlier Pythagorean approach to numbers, and their relationships to each other, in his Introduction to Arithmetic.
Greek numerals were used by Archimedes, Diophantus and others in a positional notation not very different from ours. The ancient Greeks lacked a symbol for zero until the Hellenistic period, and they used three separate sets of symbols as digits: one set for the units place, one for the tens place, and one for the hundreds. For the thousands place they would reuse the symbols for the units place, and so on. Their addition algorithm was identical to ours, and their multiplication algorithm was only very slightly different. Their long division algorithm was the same, and the digit-by-digit square root algorithm, popularly used as recently as the 20th century, was known to Archimedes, who may have invented it. He preferred it to Hero's method of successive approximation because, once computed, a digit doesn't change, and the square roots of perfect squares, such as 7485696, terminate immediately as 2736. For numbers with a fractional part, such as 546.934, they used negative powers of 60 instead of negative powers of 10 for the fractional part 0.934.[3]
The ancient Chinese had advanced arithmetic studies dating from the Shang Dynasty and continuing through the Tang Dynasty, from basic numbers to advanced algebra. The ancient Chinese used a positional notation similar to that of the Greeks. Since they also lacked a symbol for zero, they had one set of symbols for the units place, and a second set for the tens place. For the hundreds place they then reused the symbols for the units place, and so on. Their symbols were based on the ancient counting rods. It is a complicated question to determine exactly when the Chinese started calculating with positional representation, but it was definitely before 400 BC.[4] The ancient Chinese were the first to meaningfully discover, understand, and apply negative numbers as explained in the Nine Chapters on the Mathematical Art (Jiuzhang Suanshu), which was written by Liu Hui.
The gradual development of the Hindu–Arabic numeral system independently devised the place-value concept and positional notation, which combined the simpler methods for computations with a decimal base and the use of a digit representing 0. This allowed the system to consistently represent both large and small integers. This approach eventually replaced all other systems. In the early 6th century AD, the Indian mathematician Aryabhata incorporated an existing version of this system in his work, and experimented with different notations. In the 7th century, Brahmagupta established the use of 0 as a separate number and determined the results for multiplication, division, addition and subtraction of zero and all other numbers, except for the result of division by 0. His contemporary, the Syriac bishop Severus Sebokht (650 AD) said, "Indians possess a method of calculation that no word can praise enough. Their rational system of mathematics, or of their method of calculation. I mean the system using nine symbols."[5] The Arabs also learned this new method and called it hesab.

Leibniz's Stepped Reckoner was the first calculator that could perform all four arithmetic operations.
Although the Codex Vigilanus described an early form of Arabic numerals (omitting 0) by 976 AD, Leonardo of Pisa (Fibonacci) was primarily responsible for spreading their use throughout Europe after the publication of his book Liber Abaci in 1202. He wrote, "The method of the Indians (Latin Modus Indoram) surpasses any known method to compute. It's a marvelous method. They do their computations using nine figures and symbol zero".[6]
In the Middle Ages, arithmetic was one of the seven liberal arts taught in universities.
The flourishing of algebra in the medieval Islamic world and in Renaissance Europe was an outgrowth of the enormous simplification of computation through decimal notation.
Various types of tools have been invented and widely used to assist in numeric calculations. Before Renaissance, they were various types of abaci. More recent examples include slide rules, nomograms and mechanical calculators, such as Pascal's calculator. At present, they have been supplanted by electronic calculators and computers.
Arithmetic operations[edit]
See also: Algebraic operation
The basic arithmetic operations are addition, subtraction, multiplication and division, although this subject also includes more advanced operations, such as manipulations of percentages, square roots, exponentiation, logarithmic functions, and even trigonometric functions, in the same vein as logarithms (Prosthaphaeresis). Arithmetic expressions must be evaluated according to the intended sequence of operations. There are several methods to specify this, either—most common, together with infix notation—explicitly using parentheses, and relying on precedence rules, or using a pre– or postfix notation, which uniquely fix the order of execution by themselves. Any set of objects upon which all four arithmetic operations (except division by 0) can be performed, and where these four operations obey the usual laws (including distributivity), is called a field.[7]
Addition (+)[edit]
Main article: Addition
Addition is the most basic operation of arithmetic. In its simple form, addition combines two numbers, the addends or terms, into a single number, the sum of the numbers (such as 2 + 2 = 4 or 3 + 5 = 8).
Adding finitely many numbers can be viewed as repeated simple addition; this procedure is known as summation, a term also used to denote the definition for "adding infinitely many numbers" in an infinite series. Repeated addition of the number 1 is the most basic form of counting; the result of adding 1 is usually called the successor of the original number.
Addition is commutative and associative, so the order in which finitely many terms are added does not matter. The identity element for a binary operation is the number that, when combined with any number, yields the same number as the result. According to the rules of addition, adding 0 to any number yields that same number, so 0 is the additive identity. The inverse of a number with respect to a binary operation is the number that, when combined with any number, yields the identity with respect to this operation. So the inverse of a number with respect to addition (its additive inverse, or the opposite number) is the number that yields the additive identity, 0, when added to the original number; it is immediately obvious that this is the negative of the original number. For example, the additive inverse of 7 is -7, since 7 + (-7) = 0.
Addition can be interpreted geometrically as in the following example:
If we have two sticks of lengths 2 and 5, then, if we place the sticks one after the other, the length of the stick thus formed is 2 + 5 = 7.
Subtraction (-)[edit]
Main article: Subtraction
See also: Method of complements
Subtraction is the inverse operation to addition. Subtraction finds the difference between two numbers, the minuend minus the subtrahend: D = M - S. Resorting to the previously established addition, this is to say that the difference is the number that, when added to the subtrahend, results in the minuend: D + S = M.
For positive arguments M and S holds:
If the minuend is larger than the subtrahend, the difference D is positive.
If the minuend is smaller than the subtrahend, the difference D is negative.
In any case, if minuend and subtrahend are equal, the difference D = 0.
Subtraction is neither commutative nor associative. For that reason, in modern algebra the construction of this inverse operation is often discarded in favor of introducing the concept of inverse elements, as sketched under Addition, and to look at subtraction as adding the additive inverse of the subtrahend to the minuend, that is a - b = a + (-b). The immediate price of discarding the binary operation of subtraction is the introduction of the (trivial) unary operation, delivering the additive inverse for any given number, and losing the immediate access to the notion of difference, which is potentially misleading when negative arguments are involved.
For any representation of numbers there are methods for calculating results, some of which are particularly advantageous in exploiting procedures, existing for one operation, by small alterations also for others. For example, digital computers can reuse existing adding-circuitry and save additional circuits for implementing a subtraction by employing the method of two's complement for representing the additive inverses, which is extremely easy to implement in hardware (negation). The trade-off is the halving of the number range for a fixed word length.
A formerly wide spread method to achieve a correct change amount, knowing the due and given amounts, is the counting up method, which does not explicitly generate the value of the difference. Suppose an amount P is given in order to pay the required amount Q, with P greater than Q. Rather than explicitly performing the subtraction P - Q = C and counting out that amount C in change, money is counted out starting with the successor of Q, and continuing in the steps of the currency, until P is reached. Although the amount counted out must equal the result of the subtraction P - Q, the subtraction was never really done and the value of P - Q is not supplied by this method.
Multiplication (× or · or *)[edit]
Main article: Multiplication
Multiplication is the second basic operation of arithmetic. Multiplication also combines two numbers into a single number, the product. The two original numbers are called the multiplier and the multiplicand, mostly both are simply called factors.
Multiplication may be viewed as a scaling operation. If the numbers are imagined as lying in a line, multiplication by a number, say x, greater than 1 is the same as stretching everything away from 0 uniformly, in such a way that the number 1 itself is stretched to where x was. Similarly, multiplying by a number less than 1 can be imagined as squeezing towards 0. (Again, in such a way that 1 goes to the multiplicand.)
Another view on multiplication of integer numbers, extendable to rationals, but not very accessible for real numbers, is by considering it as repeated addition. So 3 × 4 corresponds to either adding 3 times a 4, or 4 times a 3, giving the same result. There are different opinions on the advantageousness of these paradigmata in math education.
Multiplication is commutative and associative; further, it is distributive over addition and subtraction. The multiplicative identity is 1, since multiplying any number by 1 yields that same number. The multiplicative inverse for any number except 0 is the reciprocal of this number, because multiplying the reciprocal of any number by the number itself yields the multiplicative identity 1. 0 is the only number without a multiplicative inverse, and the result of multiplying any number and 0 is again 0. One says that 0 is not contained in the multiplicative group of the numbers.
The product of a and b is written as a × b or a·b. When a or b are expressions not written simply with digits, it is also written by simple juxtaposition: ab. In computer programming languages and software packages in which one can only use characters normally found on a keyboard, it is often written with an asterisk: a * b.
Algorithms implementing the operation of multiplication for various representations of numbers are by far more costly and laborious than those for addition. Those accessible for manual computation either rely on breaking down the factors to single place values and apply repeated addition, or employ tables or slide rules, thereby mapping the multiplication to addition and back. These methods are outdated and replaced by mobile devices. Computers utilize diverse sophisticated and highly optimized algorithms to implement multiplication and division for the various number formats supported in their system.
Division (÷, or /)[edit]
Main article: Division (mathematics)
Division is essentially the inverse operation to multiplication. Division finds the quotient of two numbers, the dividend divided by the divisor. Any dividend divided by 0 is undefined. For distinct positive numbers, if the dividend is larger than the divisor, the quotient is greater than 1, otherwise it is less than 1 (a similar rule applies for negative numbers). The quotient multiplied by the divisor always yields the dividend.
Division is neither commutative nor associative. So as explained for subtraction, in modern algebra the construction of the division is discarded in favor of constructing the inverse elements with respect to multiplication, as introduced there. That is, division is a multiplication with the dividend and the reciprocal of the divisor as factors, that is a ÷ b = a ×
1
/ b .
Within natural numbers there is also a different, but related notion, the Euclidean division, giving two results of "dividing" a natural N (numerator) by a natural D (denominator), first, a natural Q (quotient) and second, a natural R (remainder), such that N = D×Q + R and R < Q.

 

 

M
=
4
8
MAGNETIC
72
36
9
T
=
2
7
THOUGHT
99
36
9
G
=
7
4
GODS
45
18
9
D
=
4
6
DIVINE
63
36
9
R
=
9
7
REALITY
90
36
9

 

 

Sacred Geometry is the theory of dimensional evolution which assumes the ... door to his academy stating,

"Let no one unacquainted with geometry enter here.". ...
ezinearticles.com/?An-Overview-Of-Sacred-Geometry

 

AN OVERVIEW OF SACRED GEOMETRY

Gregg Hall

Sacred Geometry is the theory of dimensional evolution which assumes the universe is a living system kept together by the existence of a sacred geometry that encompasses the entire cosmos and makes for the blueprint for the mani-festation of what we know as our material universe and in addition organizes the context through which all love evolves.

Our universe was designed to be highly efficient and is capable of performing a wide range of multiple functions at the same time. The very same geometry which provides structure to physical reality also allows for the perceptual environments that people and civilizations must move through as part of a systematic learning process on the path towardsevolution.

Each dimension of this sacred geometry holds a unique place of perceptual space and a context of learning both for personal and social evolution. As each new dimension appears a new set of perceptions and potentials is awakened which we are free to accept and actualize or ignore. It is in understanding the dimensional structure which exists all around us that allows us to be able to understand the path and direction of personal and social evolution.

Even though our modern science generally believes there is nothing of deeper meaning to the dimensional geometry of the universe other than the actual physical aspects, there is a view that is almost diametrically opposed to this that began with the Greek philosopher Pythagoras in 500 B.C. Pythagoras believed and taught the theory or belief that all of the mathematical patterns in the universe were actually expressions of divine intelligence and signified a divine intention.

According to Pythagoras, we are surrounded by organizational intelligence that is shown in its purest from through mathematical formulas and musical harmonies and allowing ourselves to be at the center of our experience; we can know and share the organizing patterns and principles that pervade the universe. This is a thought that was even held by Albert Einstein, who stated that he received his greatest breakthroughs after praying and sleeping. The answers to the questions he was seeking came to him from the Universe while he slept! This is also the way that it can be explained for someone who is blind to be able to sculpt and for a deaf person, such as Beethoven to be able to compose intricate musical scores.

Plato, who taught over a hundred years after Pythagoras, continued in the teachings of Pythagorean thought in espousing that the universe or cosmos as Pythagoras termed it was a place of "harmonious and beautiful order" and placed such a high regard on geometry that he placed a sign above the door to his academy stating, "Let no one unacquainted with geometry enter here."

 

 

L
=
3
3
LET
37
10
1
N
=
5
2
NO
29
11
2
O
=
6
3
ONE
34
16
7
E
=
5
5
ENTER
62
26
8
H
=
8
4
HERE
36
27
9
W
=
5
3
WHO
46
19
1
I
=
9
2
IS
28
19
1
U
=
3
11
UNAQUAINTED
127
46
1
W
=
5
4
WITH
60
24
6
G
=
7
8
GEOMETRY
108
45
9
-
-
56
45
First Total
567
243
45
-
-
5+6
4+5
Add to Reduce
5+6+7
2+4+3
4+5
-
-
11
9
Second Total
18
9
9
-
-
1+1
-
Reduce to Deduce
1+8
-
-
-
-
2
9
Essence of Number
9
9
9

 

 

-
-
-
-
-
GEOMETRY
-
-
-
-
1
2
3
4
5
6
7
8
9
G
=
7
-
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
Y
=
7
-
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
45
-
8
GEOMETRY
108
45
45
-
1
2
3
4
10
6
14
8
9
-
-
4+5
-
-
-
1+0+8
4+5
4+5
-
-
-
-
-
1+0
-
1+4
-
-
-
-
9
-
8
GEOMETRY
9
9
9
-
1
2
3
4
1
6
5
8
9

 

 

-
-
-
-
-
GEOMETRY
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
1
T
20
2
2
-
-
2
3
-
-
-
-
8
-
M
=
4
-
1
M
13
4
4
-
-
-
3
4
-
-
-
8
-
E
=
5
-
1
E
5
5
5
-
-
-
3
-
5
-
-
8
-
E
=
5
-
1
E
5
5
5
-
-
-
3
-
5
-
-
8
-
O
=
6
-
1
O
15
6
6
-
-
-
3
-
-
6
-
8
-
G
=
7
-
1
G
7
7
7
-
-
-
3
-
-
-
7
8
-
Y
=
7
-
1
Y
25
7
7
-
-
-
3
-
-
-
7
8
-
R
=
9
-
1
R
18
9
9
-
-
-
3
-
-
-
-
8
9
-
-
45
-
8
GEOMETRY
108
45
45
-
1
2
3
4
10
6
14
8
9
-
-
4+5
-
-
-
1+0+8
4+5
4+5
-
-
-
-
-
1+0
-
1+4
-
-
-
-
9
-
8
GEOMETRY
9
9
9
-
1
2
3
4
1
6
5
8
9

 

 

-
-
-
-
-
GEOMETRY
-
-
-
-
2
4
5
6
7
9
T
=
2
-
1
T
20
2
2
-
2
-
-
-
-
-
M
=
4
-
1
M
13
4
4
-
-
4
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
5
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
5
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
-
7
-
Y
=
7
-
1
Y
25
7
7
-
-
-
-
-
7
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
9
-
-
45
-
8
GEOMETRY
108
45
45
-
2
4
10
6
14
9
-
-
4+5
-
-
-
1+0+8
4+5
4+5
-
-
-
1+0
-
1+4
-
-
-
9
-
8
GEOMETRY
9
9
9
-
2
4
1
6
5
9

 

 

THE

FAR YONDER SCRIBE

AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN SOME AMAZE

THE

ZED ALIZ ZED

IN

SWIFT REPEAT SCATTER STAR DUST AMONGST THE LETTERS OF THEIR PROGRESS

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Cycles and Patterns

Page 165

Patterns

"The essence of mathematics is to look for patterns.

Our minds seem to be organised to search for relationships and sequences. We look for hidden orders.

These intuitions seem to be more important than the facts themselves, for there is always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imagine looking up at the stars and finding the zodiac!

Searching out patterns is a pure delight.

Suddenly the counters fall into place and a connection is found, not necessarily a geometric one, but a relationship between numbers, pictures of the mind, that were not obvious before. There is that excitement of finding order in something that was otherwise hidden.

And there is the knowledge that a huge unseen world lurks behind the facades we see of the numbers themselves."

 

 

CITY OF REVELATION

John Michell 1972

Page 77

CHAPTER SEVEN

3168, The Perimeter of the Temple

"If the numbers of the sacred principles, mentioned by St John in connection with the New Jerusalem, are obtained from the Greek text by the cabalistic method of gematria, it is found that they correspond to the dimensions of the city, set out in Fig 16. (Figure omitted) For example, the perimeter of a hexagon contained within the circle representing the earth, 7920 feet in diameter, measures 2376 feet, and 2376 is the number of (Greek text omitted), the twelve apostles of the Lamb (Revelation 21.14). 2376 x 2 feet is equal to 1746 MY, and 1745 = (Greek text omitted), the twelve apostles. The names of the apostles are said to be in the twelve foundations of the wall of the city. The wall is the circle of diameter 7920 feet and 14,400 cubits in circumference, and the foundations are the twelve corners of the double hexagon inscribed within it, fonowing the customary pattern of an astrological chart. The position of the twelve apostles in the scheme is thus clearly defined.
Of all the canonical numbers the most notable is 3168. The New Jerusalem measures 48,000 furlongs or 31,680,000 feet round the perimeter of its four sides; the mean perimeter of the Stonehenge sarsen circle is 316.8 feet; the perimeter of the square 12 hides of Glastonbury is 31,680 feet; the significance of 31,680 in the canon of cosmology is illustrated in Fig.11, and we shall also find this number set round the border of Plato's mystical city, described in Laws.
Obviously the number 3168 had an important symbolic meaning, the Christian interpretation of which is provided in New Testament
gematria. The most sacred name of Christianity is (Greek text omitted);
(Greek text omitted), Lord Jesus Christ, and the number of these three words together is 3168. (Greek text omitted) is an astrological term meaning the ruler or dominant influence.
Another sacred phrase from the New Testament, (Greek text omitted) the Power of Christ (2 Corinthians 12.9) has the value 3168 if the alternative spelling of Christos, (Greek text omitted) is adopted.

Page 78

The perimeter of the temple is 3168, Lord Jesus Christ, when the temple is measured by the foot, the most sacred unit of ancient metrology. In terms of the megalithic yard (2.72 feet), however, the perimeter measures 1164, because 3168 feet = 1164 MY. Yet this makes no difference to the symbolic interpretation by gematria, for 1164 is the number of another name of Christ, (Greek text omitted) Son of God.

As a geodetic or earth-measuring number, 3168 also demonstrates the antiquity and sacred origin of British metrology, for
31,680 inches = half a mile

31,680 ft. = 6 miles.

31,680 furlongs = 3960 miles = radius of the earth.

31,680 miles = perimeter of square containing the terrestrial sphere.

31,680 miles = circumference of circle drawn on the combined diameters of the earth and moon (10,080 miles)

Other cosmological correspondences of 3168 are given on page 109.

The Stonehenge sarsen circle with circumference of 316.8 feet
contains an area of 888 square yards, 888 being the number of Jesus, which is equal to 1080 square MY. The circle contained within a square of perimeter 316.8 feet, corresponding to the bluestone circle at Stonehenge, has an area of 666 square MY. Thus the two stone circles at Stonehenge have areas of 1080 and 666 square MY, these two numbers representing the opposite poles of lunar and solar or negative and positive energy.
The number 144 or 122 is characteristic of the New Jerusalem scheme, and 3168 demonstrates the value of (pi symbol 22/7 omitted) in terms of this number, for 144 x 7 = 1008 and 144 x 22 = 3168.

3168 in Plato's city
A remarkable use of the number 3168 occurs in Plato's account in Book V of.Laws of the mystical dimensions of the perfect city. Throughout his work Plato makes guarded reference to a secret canon of numbers that applies universally to every aspect of human life and activity, including government, astronomy, acoustics, kinetics, plane and solid geometry and divination. Linear measurements, areas and volumes are obviously incommensurable, but Plato declares that there are certain numbers that link these with each other and with all phenomena capable of being measured. As an example of these numbers, the study of which Plato recommends as the most sanctifying of all pursuits, he gives 5040. This is the ideal number of citizens in the state and serves other purposes in con­/ Page 79 / nection with the framing of laws and standards. The reason why it is most suitable for all matters of division is that for its size it has the greatest number of divisors, 60 in all, including the entire decad, the numbers 1 - 10. Another property of the number 5040 is that it is the radius of a circle with circumference 31,680. Further examina­tion of the numerical foundations of Plato's state shows that the scheme to which he refers is the ancient plan of the cosmic temple.
The lawgivers in Plato's state are reminded that the perfect human society would be one in which all possessions, wives, children, land and chattels were held in common, where all the citizens were of one mind and acted together so harmoniously that it were as if eyes, ears and hands were also common property. To keep this ideal alive is the function of the prophet. Human nature and conditioning, however, demand a more practical alternative, 'very near to the first in immortality and second to it in merit'. This is provided in Laws V.
Plato's state is arranged in a manner that can scarcely be under­stood literally, and is obviously intended, like the New Jerusalem, as a geometer's allegory. The land is all divided into twelve parts, each dedicated to one of the twelve gods and populated by one of the twelve tribes of the 5040 households. The city is similarly divided, forming a microcosm of the state as a whole. In the centre of the city is the acropolis and 'from this centre he must divide up the city itself and the whole country into twelve parts. The twelve parts must be equalised by making those of good land small and those of inferior land greater. He must mark off 5040 allotments, and each of these he must cut in two and join two pieces to form the allotments, so that each contains a near piece and a distant piece - joining the piece next to the city with the piece furthest off, the second nearest with the second furthest, and so on with the rest.'
The only way in which this division can be represented is by a circle of radius 5040, a hundred times larger than that of Stonehenge measured in feet; the perimeter of this circle is 31 ,680. In Fig. 24 (Figure 24 omitted) the radius of the circle should be divided equally into 5040 parts to produce 5040 concentric circles. These are bisected into 10,080 semi­circles by the diameter and positioned out in Plato's manner into 5040 double allotments, each of equal area.
In this scheme 31,680 is not only the circumferenceof the circular state, but also the area of each of its 2520 pairs of rings, proving Plato's assertion that linear and area pleasurements can be made / Page 80 / (Figure 24 omitted) commensurable by number. The entire circle is divided into two halves, each containing 39,916,800 square units of land. These numbers, which are inherent in the New Jerusalem scheme, have the following significance:
31,680 is divisible by all the numbers1-12 with the exception of 7

5040 = 1 x 2 x 3 x 4 x 5 x 6 x 7

39,916,800 = 1 x 2 x 3 x 4 x 5x 6 x 7 x 8 x 9 x.10 x 11

5040, the radius of the circular city, is the product of the numbers1 - 7; 7920, the side of the square city, is the product of numbers 8 - 11. In each case the perimeter of the city is 31,680. In Plato's Republic is the famous, cryptic reference to the 'marriage number', which should be consulted by the guardians of the state in all matters relating to the seasonal union of male and female. There appear to be two numbers involved, adding up to a third, but the riddle is so obscure that no firm solution has been reached despite the vast literature on the subject. For various reasons the number 12,960,000 or 36002 is most commonly proposed, and this would seem appropriate, for 12,960 = 5040 + 7920. 12,960 therefore represents the union of square and circle, symbol of the sacred marriage, and the gematria is also appropriate, for 1296 = (Greek text omitted) Mary mother of Jesus.

FIGURE 24 (Figure omitted) Plato's city divided into 5040 rings, Perimeter = 31,680, Areas: A + a = B + b = C + c = 31,680.

 

 

INCLUDE EUCLID INCLUDE

 

 

THERE IS NO ATTEMPT MADE TO DESCRIBE THE CREATIVE PROCESS REALISTICALLY

THE ACCOUNT IS SYMBOLIC AND SHOWS GOD CREATING THE WORLD BY MEANS OF LANGUAGE

AS THOUGH WRITING A BOOK BUT LANGUAGE ENTIRELY TRANSFORMED

THE MESSAGE OF CREATION IS CLEAR EACH LETTER OF

THE

ALPHABET

IS

GIVEN

A

NUMERICAL

VALUE BY COMBINING THE LETTERS WITH THE SACRED NUMBERS

REARRANGING THEM IN ENDLESS CONFIGURATIONS

THE MYSTIC WEANED THE MIND AWAY FROM THE NORMAL CONNOTATIONS OF WORDS

 

....

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Page 32

5


To Sorcerers and Magicians number FIVE is the most powerful - five is the mark of the pentacle, a five pointed star drawn by extending the sides of a Pentagon. Five surely is in the possession of the occult. And the Pentagon is the geometric figure in which the golden ratio of classical art and architecture is found most.

 

THE

BALANCING

ONE TWO THREE FOUR

FIVE

NINE EIGHT SEVEN SIX

O
=
6
-
3
ONE
34
16
7
-
1
T
=
2
-
3
TWO
58
13
4
-
2
T
=
2
-
5
THREE
56
29
2
-
3
F
=
6
-
4
FOUR
60
24
6
-
4
-
-
16
-
15
Add
208
82
19
-
10
-
-
1+6
-
1+5
Reduce
2+0+8
8+2
1+9
-
1+0
-
-
7
-
6
Deduce
10
10
10
-
1
-
-
-
-
-
Prduce
1+0
1+0
1+0
-
-
-
-
7
-
6
Essence
1
1
1
-
1

 

5

4
FIVE
42
24
6

5

 

N
=
5
-
4
NINE
42
24
6
-
9
E
=
5
-
5
EIGHT
49
31
4
-
8
S
=
1
-
5
SEVEN
65
20
2
-
7
S
=
1
-
3
SIX
52
16
7
-
6
-
-
12
-
17
Add
208
91
19
-
30
-
-
1+2
-
1+7
Reduce
2+0+8
9+1
1+9
-
3+0
-
-
3
-
8
Deduce
10
10
10
-
3
-
-
-
-
-
Prduce
1+0
1+0
1+0
-
-
-
-
3
-
8
Essence
1
1
1
-
3

4
FIVE
42
24
6

 

1 2 3 4 5 6 7 8 9

9 8 7 6 5 4 3 2 1

4
FIVE
42
24
6

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

 

 

3
ONE
34
16
7
-
3
NINE
52
16
7
3
TWO
58
13
4
-
5
EIGHT
65
20
2
5
THREE
56
29
2
-
5
SEVEN
49
31
4
4
FOUR
60
24
6
-
4
SIX
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Prduce
1+0
1+0
1+0
-
-
Prduce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

 

 

4
ZERO
64
28
1
-
-
-
-
-
15
ONE TWO THREE FOUR
208
82
1
-
-
-
-
-
4
FIVE
42
24
6
-
-
-
-
-
17
NINE EIGHT SEVEN SIX
208
91
1
-
-
-
-
-
-
-
-
-
-
34
ADD TO REDUCE
522
225
27
3+4
REDUCE TO DEDUCE
5+2+2
2+2+5
2+7
7
ESSENCE OF NUMBER
9
9
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
5
ADDED
18
18
9
-
-
-
-
-
-
-
-
-
9
T
=
2
-
2
TO
35
8
8
-
-
-
-
-
-
-
-
8
-
A
=
1
-
3
ALL
25
7
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
5
MINUS
76
22
4
-
-
-
-
4
-
-
-
-
-
N
=
5
-
4
NONE
48
21
3
-
-
-
3
-
-
-
-
-
-
S
=
1
-
6
SHARED
55
28
1
-
1
-
-
-
-
-
-
-
-
B
=
2
-
2
BY
27
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
10
MULTIPLIED
121
49
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
A
=
1
-
9
ABUNDANCE
65
29
2
-
-
2
-
-
-
-
-
-
-
-
-
35
-
58
First Total
995
266
59
-
1
2
3
8
5
6
14
8
18
-
-
3+5
-
5+8
Add to Reduce
9+9+5
2+6+6
5+9
-
-
-
-
-
-
-
1+4
-
1+8
-
-
8
-
13
Second Total
23
14
14
-
1
2
3
8
5
6
5
8
9
-
-
-
-
1+3
Reduce to Deduce
2+3
1+4
1+4
-
-
-
-
-
-
-
-
-
-
-
-
8
-
4
Essence of Number
5
5
5
-
1
2
3
8
5
6
5
8
9

 

 

1
22
333
4444
55555
666666
7777777
88888888
999999999

one
twotwo
threethreethree
fourfourfourfour
fivefivefivefivefive
sixsixsixsixsixsix
sevensevensevensevensevensevenseven
eighteighteighteighteighteighteighteight
nineninenineninenineninenineninenine


ONE
TWOTWO
THREETHREETHREE
FOURFOURFOURFOUR
FIVEFIVEFIVEFIVEFIVE
SIXSIXSIXSIXSIXSIX
SEVENSEVENSEVENSEVENSEVENSEVENSEVEN
EIGHTEIGHTEIGHTEIGHTEIGHTEIGHTEIGHTEIGHT
NINENINENINENINENINENINENINENINENINE

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
45
-
-
-
34
-
36
Add
458
197
44
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
3+4
-
3+6
Reduce
4+5+8
1+9+7
4+4
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
7
4
9
Deduce
17
17
8
-
1
4
3
8
5
18
14
8
9
-
-
-
-
-
-
-
Produce
1+7
1+7
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
7
-
9
Essence
8
8
8
-
1
4
3
8
5
9
5
8
9

 

 

ONE
TWOTWO
THREETHREETHREE
FOURFOURFOURFOUR
FIVEFIVEFIVEFIVEFIVE
SIXSIXSIXSIXSIXSIX
SEVENSEVENSEVENSEVENSEVENSEVENSEVEN
EIGHTEIGHTEIGHTEIGHTEIGHTEIGHTEIGHTEIGHT
NINENINENINENINENINENINENINENINENINE

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
-
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
T
-
6
-
-
-
3
-
34
16
7
-
-
-
-
-
-
-
-
-
-
T
=
2
-
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
T
=
2
-
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
-
-
4
-
-
-
6
-
116
26
8
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
-
-
-
-
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
-
-
-
-
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
-
-
-
-
-
-
-
-
-
6
-
-
-
15
-
168
87
6
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
-
-
24
-
-
-
16
-
240
96
24
-
-
-
-
-
-
-
-
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
7
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
7
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
-
-
30
-
-
-
20
-
210
120
30
-
-
-
-
-
-
-
-
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
-
-
6
-
-
-
18
-
312
96
42
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
-
-
7
-
-
-
35
-
455
140
14
-
-
-
-
-
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
-
-
40
-
-
-
40
-
392
248
32
-
-
-
-
-
-
-
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
-
-
45
-
-
-
36
-
378
216
54
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
168
-
-
-
190
First Total
2305
1045
217
-
1
20
3
40
5
108
49
8
9
-
-
1+6+8
-
-
-
1+9+0
Add to Reduce
2+3+0+5
1+0+4+5
2+1+7
-
-
2+0
-
4+0
-
1+0+8
4+9
-
-
-
-
15
-
-
-
10
Second Total
10
10
10
-
1
2
3
4
5
9
13
8
9
-
-
1+5
-
-
-
1+0
Reduce to Produce
1+0
1+0
1+0
-
-
-
-
-
-
-
1+3
-
-
-
-
6
-
-
-
1
Essence of Number
1
1
1
-
1
2
3
4
5
9
4
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
-
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
T
=
2
-
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
T
=
2
-
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
-
-
-
-
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
-
-
-
-
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
-
-
-
6
-
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
7
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
7
-
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
-
-
168
-
-
-
190
First Total
2305
1045
217
-
1
20
3
40
5
108
49
8
9
-
-
1+6+8
-
-
-
1+9+0
Add to Reduce
2+3+0+5
1+0+4+5
2+1+7
-
-
2+0
-
4+0
-
1+0+8
4+9
-
-
-
-
15
-
-
-
10
Second Total
10
10
10
-
1
2
3
4
5
9
13
8
9
-
-
1+5
-
-
-
1+0
Reduce to Produce
1+0
1+0
1+0
-
-
-
-
-
-
-
1+3
-
-
-
-
6
-
-
-
1
Essence of Number
1
1
1
-
1
2
3
4
5
9
4
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
8
9
O
=
6
-
1
-
3
ONE
34
16
7
-
1
-
3
-
5
-
7
8
9
T
=
2
-
2
-
3
TWO
58
13
4
-
1
-
3
4
5
-
-
8
9
T
=
2
-
2
-
3
TWO
58
13
4
-
1
-
3
4
5
-
-
8
9
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
3
-
5
-
-
8
9
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
3
-
5
-
-
8
9
T
=
2
-
3
-
5
THREE
56
29
2
-
1
2
3
-
5
-
-
8
9
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
3
-
5
6
-
8
9
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
3
-
5
6
-
8
9
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
3
-
5
6
-
8
9
F
=
6
-
4
-
4
FOUR
60
24
6
-
1
-
3
-
5
6
-
8
9
F
=
6
-
5
-
4
FIVE
42
24
6
-
1
-
3
-
5
6
-
8
9
F
=
6
-
5
-
4
FIVE
42
24
6
-
1
-
3
-
5
6
7
8
9
F
=
6
-
5
-
4
FIVE
42
24
6
-
1
-
3
-
5
6
-
8
9
F
=
6
-
5
-
4
FIVE
42
24
6
-
1
-
3
-
5
6
7
8
9
F
=
6
-
5
-
4
FIVE
42
24
6
-
1
-
3
-
5
6
-
8
9
S
=
1
-
6
-
3
SIX
52
16
7
-
1
-
3
-
5
-
7
8
9
S
=
1
-
6
-
3
SIX
52
16
7
-
1
-
3
-
5
-
7
8
9
S
=
1
-
6
-
3
SIX
52
16
7
-
1
-
3
-
5
-
7
8
9
S
=
1
-
6
-
3
SIX
52
16
7
-
1
-
3
-
5
-
7
8
9
S
=
1
-
6
-
3
SIX
52
16
7
-
1
-
3
-
5
-
7
8
9
S
=
1
-
6
-
3
SIX
52
16
7
-
1
-
3
-
5
-
7
8
9
S
=
1
-
6
-
5
SEVEN
65
20
2
-
1
2
3
-
5
-
-
8
9
S
=
1
-
6
-
5
SEVEN
65
20
2
-
1
2
3
-
5
-
-
8
9
S
=
1
-
6
-
5
SEVEN
65
20
2
-
1
2
3
-
5
-
-
8
9
S
=
1
-
6
-
5
SEVEN
65
20
2
-
1
2
3
-
5
-
-
8
9
S
=
1
-
6
-
5
SEVEN
65
20
2
-
1
2
3
-
5
-
-
8
9
S
=
1
-
6
-
5
SEVEN
65
20
2
-
1
2
3
-
5
-
-
8
9
S
=
1
-
6
-
5
SEVEN
65
20
2
-
1
2
3
-
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
E
=
5
-
8
-
5
EIGHT
49
31
4
-
1
-
3
4
5
-
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
N
=
5
-
9
-
4
NINE
42
24
6
-
1
-
3
-
5
6
-
8
9
-
-
168
-
-
-
190
First Total
2305
1045
217
-
1
20
3
40
5
108
49
8
9
-
-
1+6+8
-
-
-
1+9+0
Add to Reduce
2+3+0+5
1+0+4+5
2+1+7
-
-
2+0
-
4+0
-
1+0+8
4+9
-
-
-
-
15
-
-
-
10
Second Total
10
10
10
-
1
2
3
4
5
9
13
8
9
-
-
1+5
-
-
-
1+0
Reduce to Produce
1+0
1+0
1+0
-
-
-
-
-
-
-
1+3
-
-
-
-
6
-
-
-
1
Essence of Number
1
1
1
-
1
2
3
4
5
9
4
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
2
4
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
-
3
ONE
34
16
7
-
-
-
-
7
T
=
2
-
2
-
3
TWO
58
13
4
-
-
4
-
-
T
=
2
-
2
-
3
TWO
58
13
4
-
-
4
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
2
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
2
-
-
-
T
=
2
-
3
-
5
THREE
56
29
2
-
2
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
6
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
6
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
6
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
6
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
6
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
6
7
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
6
-
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
6
7
F
=
6
-
5
-
4
FIVE
42
24
6
-
-
-
6
-
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
7
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
7
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
7
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
7
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
7
S
=
1
-
6
-
3
SIX
52
16
7
-
-
-
-
7
S
=
1
-
6
-
5
SEVEN
65
20
2
-
2
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
2
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
2
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
2
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
2
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
2
-
-
-
S
=
1
-
6
-
5
SEVEN
65
20
2
-
2
-
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
E
=
5
-
8
-
5
EIGHT
49
31
4
-
-
4
-
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
N
=
5
-
9
-
4
NINE
42
24
6
-
-
-
6
-
-
-
168
-
-
-
190
First Total
2305
1045
217
-
20
40
108
49
-
-
1+6+8
-
-
-
1+9+0
Add to Reduce
2+3+0+5
1+0+4+5
2+1+7
-
2+0
4+0
1+0+8
4+9
-
-
15
-
-
-
10
Second Total
10
10
10
-
2
4
9
13
-
-
1+5
-
-
-
1+0
Reduce to Produce
1+0
1+0
1+0
-
-
-
-
1+3
-
-
6
-
-
-
1
Essence of Number
1
1
1
-
2
4
9
4

 

 

 

I
=
9
-
4
ISIS
56
20
2
L
=
3
-
5
LIGHT
76
29
2
I
=
9
-
2
IS
28
10
1
W
=
5
-
5
WHITE
65
29
2
W
=
5
-
4
WITH
60
24
6
E
=
5
-
1
E
5
5
5
-
-
36
-
21
-
270
117
18
-
-
-
-
-
-
+
+
+
-
-
-
-
-
-
405
180
36
-
-
-
-
-
-
+
+
+
-
-
16
-
17
-
135
63
18
B
=
2
-
5
BLACK
29
11
2
B
=
2
-
1
B
2
2
2
L
=
3
-
4
LACK
27
9
9
O
=
6
-
2
OF
21
12
3
L
=
3
-
5
LIGHT
56
29
2

 

 

 

AND THE SPIRIT AND THE BRIDE SAY COME

AND LET HIM THAT HEARETH SAY COME

AND LET HIM THAT IS ATHIRST COME

AND WHOSOEVER WILL LET HIM TAKE THE WATER OF LIFE FREELY

 

-
-
-
-
-
HOLY BIBLE
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
Schofield References
-
-
-
-
-
-
-
-
-
-
-
-
-
C
22
Verse
17
REVELATION
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
S
=
1
-
6
SPIRIT
91
37
1
-
1
-
-
-
-
-
-
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
B
=
2
-
9
BRIDE
38
29
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
3
SAY
45
9
9
-
-
-
-
-
-
-
-
-
9
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
-
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
-
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
-
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
-
-
-
H
=
8
-
7
HEARETH
65
38
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
3
SAY
45
9
9
-
-
-
-
-
-
-
-
-
9
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
-
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
-
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
-
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
-
-
-
A
=
1
-
7
ATHIRST
95
32
5
-
-
-
-
-
5
-
-
-
-
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
-
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
W
=
5
-
9
WHOSOEVER
130
49
4
-
-
-
-
4
-
-
-
-
-
W
=
5
-
4
WILL
56
20
2
-
-
2
-
-
-
-
-
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
-
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
-
-
-
T
=
2
-
4
TAKE
37
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
W
=
5
-
5
WATER
67
22
4
-
-
-
-
4
-
-
-
-
-
O
=
6
-
4
OF
21
12
3
-
-
-
3
-
-
-
-
-
-
L
=
3
-
3
LIFE
32
23
5
-
-
-
-
-
5
-
-
-
-
F
=
6
-
6
FREELY
71
35
8
-
-
-
-
-
-
-
-
8
-
-
-
112
-
129
First Total
1422
603
126
-
11
6
12
16
10
18
7
8
45
-
-
1+1+2
-
1+2+9
Add to Reduce
1+4+2+2
6+0+3
1+2+6
Q
1+1
-
1+2
1+6
1+0
1+8
-
-
4+5
Q
-
4
Q
12
Second Total
9
9
9
Q
2
6
3
7
1
9
Q
8
9
-
-
-
Q
1+2
Reduce to Produce
-
-
-
Q
-
-
-
-
-
-
Q
-
-
-
-
4
-
3
Essence of Number
9
9
9
-
2
6
3
7
1
9
-
8
9

 

AND THE SPIRIT AND THE BRIDE SAY COME

AND LET HIM THAT HEARETH SAY COME

AND LET HIM THAT IS ATHIRST COME

AND WHOSOEVER WILL LET HIM TAKE THE WATER OF LIFE FREELY

 

-
-
-
-
-
HOLY BIBLE
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
Schofield References
-
-
-
-
-
-
-
-
-
-
-
-
-
C
22
Verse
17
REVELATION
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
7
-
-
S
=
1
-
6
SPIRIT
91
37
1
-
1
-
-
-
-
-
7
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
7
-
-
B
=
2
-
9
BRIDE
38
29
2
-
-
2
-
-
-
-
7
-
-
S
=
1
-
3
SAY
45
9
9
-
-
-
-
-
-
-
7
-
9
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
7
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
7
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
7
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
7
-
-
H
=
8
-
7
HEARETH
65
38
2
-
-
2
-
-
-
-
7
-
-
S
=
1
-
3
SAY
45
9
9
-
-
-
-
-
-
-
7
-
9
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
7
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
7
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
7
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
7
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
7
-
-
A
=
1
-
7
ATHIRST
95
32
5
-
-
-
-
-
5
-
7
-
-
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
7
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
W
=
5
-
9
WHOSOEVER
130
49
4
-
-
-
-
4
-
-
7
-
-
W
=
5
-
4
WILL
56
20
2
-
-
2
-
-
-
-
7
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
7
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
7
-
-
T
=
2
-
4
TAKE
37
10
1
-
1
-
-
-
-
-
7
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
7
-
-
W
=
5
-
5
WATER
67
22
4
-
-
-
-
4
-
-
7
-
-
O
=
6
-
4
OF
21
12
3
-
-
-
3
-
-
-
7
-
-
L
=
3
-
3
LIFE
32
23
5
-
-
-
-
-
5
-
7
-
-
F
=
6
-
6
FREELY
71
35
8
-
-
-
-
-
-
-
7
8
-
-
-
112
-
129
First Total
1422
603
126
-
11
6
12
16
10
18
7
8
45
-
-
1+1+2
-
1+2+9
Add to Reduce
1+4+2+2
6+0+3
1+2+6
Q
1+1
-
1+2
1+6
1+0
1+8
-
-
4+5
Q
-
4
Q
12
Second Total
9
9
9
Q
2
6
3
7
1
9
Q
8
9
-
-
-
Q
1+2
Reduce to Produce
-
-
-
Q
-
-
-
-
-
-
Q
-
-
-
-
4
-
3
Essence of Number
9
9
9
-
2
6
3
7
1
9
-
8
9

 

 

-
-
-
-
-
HOLY BIBLE
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
Schofield References
-
-
-
-
-
-
-
-
-
-
-
-
-
C
22
Verse
17
REVELATION
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
S
=
1
-
6
SPIRIT
91
37
1
-
1
-
-
-
-
-
7
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
7
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
7
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
7
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
7
-
-
L
=
3
-
3
LET
37
10
1
-
1
-
-
-
-
-
7
-
-
T
=
2
-
4
TAKE
37
10
1
-
1
-
-
-
-
-
7
-
-
B
=
2
-
9
BRIDE
38
29
2
-
-
2
-
-
-
-
7
-
-
H
=
8
-
7
HEARETH
65
38
2
-
-
2
-
-
-
-
7
-
-
W
=
5
-
4
WILL
56
20
2
-
-
2
-
-
-
-
7
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
7
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
7
-
-
H
=
8
-
3
HIM
30
21
3
-
-
-
3
-
-
-
7
-
-
O
=
6
-
4
OF
21
12
3
-
-
-
3
-
-
-
7
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
7
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
7
-
-
W
=
5
-
9
WHOSOEVER
130
49
4
-
-
-
-
4
-
-
7
-
-
W
=
5
-
5
WATER
67
22
4
-
-
-
-
4
-
-
7
-
-
A
=
1
-
7
ATHIRST
95
32
5
-
-
-
-
-
5
-
7
-
-
L
=
3
-
3
LIFE
32
23
5
-
-
-
-
-
5
-
7
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
7
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
7
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
7
-
-
F
=
6
-
6
FREELY
71
35
8
-
-
-
-
-
-
-
7
8
-
S
=
1
-
3
SAY
45
9
9
-
-
-
-
-
-
-
7
-
9
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
7
-
9
S
=
1
-
3
SAY
45
9
9
-
-
-
-
-
-
-
7
-
9
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
7
-
9
C
=
3
-
4
COME
36
18
9
-
-
-
-
-
-
-
7
-
9
-
-
112
-
129
First Total
1422
603
126
-
11
6
12
16
10
18
7
8
45
-
-
1+1+2
-
1+2+9
Add to Reduce
1+4+2+2
6+0+3
1+2+6
Q
1+1
-
1+2
1+6
1+0
1+8
-
-
4+5
Q
-
4
Q
12
Second Total
9
9
9
Q
2
6
3
7
1
9
Q
8
9
-
-
-
Q
1+2
Reduce to Produce
-
-
-
Q
-
-
-
-
-
-
Q
-
-
-
-
4
-
3
Essence of Number
9
9
9
-
2
6
3
7
1
9
-
8
9

 

 

4
ZERO
64
28
1

 

OUT OF ZERO COMETH ONE

 

 

JUST SIX NUMBERS

Martin Rees

1
999

OUR COSMIC HABITAT

PLANETS STARS AND LIFE

Page 24

A

proton

is

1,836 times heavier than an electron, and the number 1,836

would have the same connotations to any 'intelligence'

 

 

" the number 1,836 would have the same connotations"
"A remarkable use of the number 3168 occurs"




1836
       1863
             1683
                   1638
                         1368
                               1386
                                     8613
                                            8631
                                                  8316
                                                        8361
                                                              8163
                                                                       8136
                                                                             6813
                                                                                   6831
                                                                                         6381
                                                                                               6318
                                                                                                      6138
                                                                                                             6183
                                                                                                                   3861
                                                                                                                         3816
                                                                                                                               3681
                                                                                                                                     3618
                                                                                                                                           3186
                                                                                                                                                 3168

 

4
HOLY
60
24
6
-
R
-
-
-
3
THE
33
15
6
6
COSMIC
62
26
8
3
WOW
61
16
7
7
SIGNALS
81
27
9
23
First Total
297
108
36
2+3
Add to Reduce
2+9+7
1+0+8
3+6
5
Second Total
18
9
9
-
Reduce to Produce
1+8
-
-
5
Essence of Number
9
9
9

 

 

S
=
1
-
6
SEARCH
54
27
9
F
=
6
-
3
FOR
39
21
3
E
=
5
-
5
EXTRA
68
23
5
T
=
2
-
11
TERRESTRIAL
145
55
1
I
=
9
-
12
INTELLIGENCE
115
61
7
S
-
23
4
37
First Total
421
187
25
-
-
2+3
-
3+7
Add to Reduce
4+2+1
1+8+7
2+5
-
-
5
-
10
Second Total
7
16
7
-
-
-
-
1+0
Reduce to Produce
-
1+6
-
-
-
5
-
1
Essence of Number
7
7
7

 

 

4
S.E.T.I.
53
17
8

 

 

LIFE OUT THEIR

THE TRUTH OF - AND SEARCH FOR - EXTRATERRESTRIAL LIFE

Michael White 1998

Page 97

"The first venue for Phoenix was / Page 98 / Australia, where astronomers used the Parkes 64-metre antenna and the Mopra 22-metre antenna, both in New South Wales. Because Australia was the first site, a very high proportion of the stars in the targeted group were those seen only in the Southern Hemisphere, including 650 G-Dwarf stars. In 1996, the system was taken back to the National Radio Astronomy Observatory in West Virginia, where a 40-metre dish was used to follow through the next stage of the search. The project is currently established at the largest radio telescope in the world - the 305-metre Arcibo radio telescope in Puerto Rico.
At the time of going to press, the interstellar 'airwaves' remain silent, but no one involved in the Phoenix project thought there would be much chance of immediate success. And indeed, there are some astronomers who suggest that the official SETI teams are going about things the wrong way. They argue that radio tele­scopes should be turned towards the centre of the Milky Way, where the stars are far more densely packed and where, they say, there is a far greater chance of finding something interesting. But this has associated problems, not least of which is the fact that it would be very difficult to'separate the multitude of natural signals constantly emitted from so many stellar objects. As the British astronomer Michael Rowan-Robinson says: 'Looking along the plane of the galaxy, like looking at car headlights in a traffic jam, makes it very difficult to detect one source of radio emission from another. And, if such radio emissions would also fade away over distance, we would probably detect nothing.'
An alternative argument is that we should not be looking for radio signals at all. Some researchers suggest that an advanced alien race would have dispensed with radio long ago, and may be . sending information using lasers. Others assume that the majority of surviving civilisations in the Universe would be far in advance of us and might be located by searching for the heat they gener­ate as a by-product of their energy-production systems.
The eminent American physicist, and one-time associate of Albert Einstein, Freeman Dyson, who works at the Institute of Advanced Study in Princeton, has proposed a scheme by which a very advanced technology could produce an almost limitless fuel / Page 99 / supply. He speculates that a sufficiently developed civilisation could harness the total energy output of their home sun by build­ing a sphere of receivers and energy converters around it. These 'Dyson spheres', as they have become known, would of course provide tremendous amounts of energy but would also radiate commensurate amounts of heat, which could be detected light­years away in the infrared region of the spectrum. Others have taken this idea even further by suggesting that civilisations perhaps millions of years in advance of our own could utilise the energy output of an entire galaxy, or even a cluster of galaxies, and that some of the many types of energy source we see in distant parts of the Universe are the waste products from such processes." This has led those involved with SETI to categorise potential civilis a­tions into three distinct classes.
Type-I cultures (which include us) are those which have developed to the point where they can exploit the natural resources of a single, home world. A Type-II civilisation would be capable of building something like Dyson spheres and processing the entire energy output of their sun. This level of development would almost certainly be associated with the ability to travel interstellar distances. Such cultures may also have developed means by which they could circumnavigate the hurdles presented by the light-speed restriction. A culture that had reached this stage of development would be thousands or perhaps tens of thousands of years in advance of us.
A Type-III civilisation would be millions of years ahead of us, / Page 100 / and would have developed the technology to utilise the entire resources of their galaxy, an ability which to us appears God-like but is actually possible within the laws of physics. It is nothing more supernatural than a consequence of a life-form starting their evolutionary development a little before us in relative, universal terms. To us, such beings would demonstrate God-like powers, but they too would have originated in a slurry of single-celled organisms on some far-distant planet. They would simply have had a longer time in which to develop.
This classification was first postulated in the 1960s, quickly becoming an internationally accepted standard. This was also the most active period of Soviet work on the search for alien civilisations, and on one occasion scientists in the USSR actually thought for a while that they had encountered a Type-III civilisation.
It was 1965, the Russians were leading the world in efforts to detect messages from ETs, and their top researcher was a man named Nikolai Kardashev (who was also the first to discuss seri­ously the idea of super-civilisations and civilisation types). One morning at the Crimea Deep Space Station, Kardashev's team detected an incredibly strong signal that was certainly of extrater­restrial origin. The interesting thing about it was not simply its power, but the fact that the signal seemed to slowly change frequency over time, sweeping through a broad band. This type of signal was quite unprecedented, and to the Soviet team almost certainly the fingerprint of a civilisation attempting to make contact.
Against his better judgement, but bowing to pressure from his colleagues, Kardashev decided to announce the finding publicly, declaring to the world's press that the source was almost certainly an extraterrestrial civilisation. Sadly, it was not to be. Within hours, scientists at Caltech in the US contacted their Russian colleagues to inform them that what they had observed fitted exactly the description of an object they too had detected a few months earlier and had been studying ever since. They called the source a 'quasar', or quasi-stellar object, and it was definitely not a signal from an advanced civilisation of any description.
Quasars are still only partially understood. Scientists know that they are tremendously powerful sources of electromagnetic radi-/ Page 101 / ation and that they are moving away from us at high speeds. They are believed to be extremely turbulent galaxies - a seething mass of matter and energy very different from our own stable Milky Way. It is suspected that at the heart of each quasar lies a black hole which traps within its intense gravitational field anything that approaches it. As matter and energy are sucked in, but before they disappear behind what physicists call the 'event horizon' (from which there is no return), they collide with other forms of matter already trapped there and emit energy that may just escape the gravitational clutches of the nearby black hole.
Quasars are fascinating and exotic stellar objects, and their close study has provided new insights into the nature of the Universe; but they are not the only strange objects to be discovered by acci­dent and mistaken for the hallmarks of extraterrestrial intelligence.
In 1967, a Ph.D. student at Cambridge University named Jocelyn Bell detected a strong, regular signal coming from deep space in the waterhole region of the spectrum. After reporting the findings to her supervisor, Anthony Hewish, they agreed they would not go public until they had investigated the signal fully. Gradually they eliminated all possible conventional sources until they realised that the signal was actually an emission from a strange object in deep space that was sending out an almost p.er­fectly regular pulse. The object was then found to be a neutron star, or 'pulsar', the remains of a dead star that had collapsed under its own gravitational field so much that the electrons orbiting the nucleus of the atoms making up the star had been jammed into the nuclei and fused with protons to form neutrons. This super-dense matter emits pulses with such regularity that pulsars are thought to be'the most accurate clocks in th'e Universe.
Since Bell and Hewish's discovery, other regular signals have been detected which have not originated from pulsars or any ter­restrial source, but have appeared only once. A team led by Professor Michael Horowitz at Harvard University has reported thirty-seven such signals during the past ten years, all within twenty-five light-years of Earth, but because they have not been repeated they do not qualify as genuine candidates for signals from a race trying to contact us. They could, of course, be one-off / Page 102 / leakages from specific events, but we might never know, and for scientists to analyse a signal properly, they need a repeated, strong, regular pulse.
So far, the most important find was a signal detected at the Ohio State University 'Big Ear' radio telescope in August 1977. Known by SETI researchers and enthusiasts as the 'Wow' signal, after the monosyllabic exclamation written on the computer print-out by an astonished astronomer at the station, it lasted exactly thirty-seven seconds and appears to have come from the direction of Sagittarius. Although, most strikingly, the signal was a narrow-band signal precisely at the hydrogen frequency of 1420 MHz, it has not been detected even a second time, in Sagittarius or anywhere else.
So, what of the future? Is the continuing search for intelligent life in the Universe a total waste of money, as its opponents insist, or are we perhaps on the threshold of a great discovery?
In commercial terms, SETI is potentially the greatest scientific bargain ever. The cost of the project to the US government was a tenth of 1 per cent of NASA's annual budget and is now financed privately, so even the die-hard sceptics cannot claim that it is drain on the tax-payer. Furthermore, the potential gains from the success of the project would be unparalleled in human history. Quite simply, there is absolutely nothing to lose in trying.
More problematic will be maintaining the momentum of a pro­ject which, year after year, fails to deliver the goods. The argument against this is that both pulsars and quasars were dis­covered indirectly through the efforts of SETI researchers, and it is also true that improvements in techniques. and development of new types of equipment used in the search will filter down into other areas of research and then on to everyday use.
However, one difficulty for future researchers will be the growing level of terrestrial interference. Some enthusiasts argue that we are currently living through a window of opportunity in the search for extraterrestrial intelligence, and that the embryonic communications revolution will soon work against our chances of detecting a pure signal from another world."

Page 99 notes

• For more than twenty-five years, astronomers have been observing sudden bursts of energy from a variety of different locations in the cosmos. They detect these bursts, which are thought to be the result of the most powerful explosions ever witnessed, by following a left-over trace of gamma rays (a form of electromagnetic radiation) that reach the Earth. There are literally hundreds of theories that attempt to explain these bursts, including the notion that they could be the result of the activities of some super-civilisation. Recently, one such burst was carefully moni­tored and found to have come from an explosion so powerful that in ten minutes the source produced more energy than the total output of our Sun during its life­time. Astronomers are actively chasing the source and the cause of this phenomenon and hope to solve the mystery after one more sustained observation of the effect. The trouble is, no one knows when or where the next one will be.

 

 

JOURNEY = 108 36 9 36 108 = JOURNEY

 

MAGIC ISISIS THE VIEW FROM THE MAGI'S MAGIC MOUNTAIN

THE UPSIDE DOWN OF THE DOWNSIDE UP

 

JOURNEY = 108 36 9 36 108 = JOURNEY

 

On Nature (Peri Physeos)
by Parmenides of Elea (c. 475 B.C.)
On Nature (Peri Physeos) by Parmenides of Elea


On Nature by Parmenides of Elea. A highly readable translation of the classic by the Greek father of metaphysics. Edited by Allan F. Randall from translations by ...
Theurgy and Numbers: On Nature - Peri Physeos

On Nature (Peri Physeos) by Parmenides of Elea (c. 475 B.C.)

ON NATURE 108-36-9

 

O
=
6
-
2
ON
29
11
2
N
=
5
-
6
NATURE
79
25
7
-
-
21
-
8
Add to Reduce
108
36
9
-
-
3+1
-
-
Reduce to Deduce
1+0+8
3+6
-
-
-
3
-
8
Essence of Number
9
9
9

 

 

B
=
2
4
BLUE
40
13
4
P
=
7
6
PLANET
68
23
5
``-
-
9
10
-
108
36
9
-
-
 -
1+0
-
1+0+8
3+6
-
-
-
9
1
-
9
9
9

 

Blue Planet : Complete BBC Series Special Edition 4 Disc ...

www.amazon.co.uk › DVD & Blu-ray › Television › Documentary

 

 

4
GODS
45
18
9
6
SPIRIT
91
37
1
4
IRIS
55
28
1
4
ISIS
56
20
2
6
OSIRIS
89
35
8
6
VISHNU
93
30
3
5
SHIVA
59
59
5
7
KRISHNA
80
35
8
7
SHRISTI
102
39
3
5
RISHI
63
36
9
4
ISHI
45
27
9
6
CHRIST
77
32
5

 

......

THE SIRIUS MYSTERY

Robert K.G.Temple 1976

Page 82

The Sacred Fifty

"We must return to the treatise 'The Virgin of the World'. This treatise is quite explicit in saying that Isis and Osiris were sent to help the Earth by giving primitive mankind the arts of civilization:
And Horus thereon said:

'How was it, mother, then, that Earth received God's Efflux?' And Isis said:

'I may not tell the story of (this) birth; for it is not permitted to describe the origin of thy descent, O Horus (son) of mighty power, lest afterwards the way-of-birth of the immortal gods should be known unto men - except so far that God the Monarch, the universal Orderer and Architect, sent for a little while thy mighty sire Osiris, and the mightiest goddess Isis, that they might help the world, for all things needed them.
'Tis they who filled life full of life. 'Tis they who caused the savagery of mutual slaughtering of men to cease. 'Tis they who hallowed precincts to the Gods their ancestors and spots for holy rites. 'Tis they who gave to men laws, food and shelter.'

"Page 73

A Fairy Tale

'I INVOKE THEE, LADY ISIS, WITH WHOM THE GOOD DAIMON DOTH UNITE,

HE WHO IS LORD IN THE PERFECT BLACK.'

 

20
OSIRIS IRIS ISIS SIRIUS
-
-
-
-
-
-
O+S
34
16
7
-
-
-
I
9
9
9
-
9
-
R
18
9
9
-
9
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
R
18
9
9
-
9
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
R
18
9
9
-
9
-
I
9
9
9
-
9
-
U+S
40
13
4
-
-
20
OSIRIS IRIS ISIS SIRIUS
-
-
-
-
-

 

 

9 X 11 = 99 = 11 X 9

 

20
OSIRIS IRIS ISIS SIRIUS
-
-
-
-
-
-
O
15
6
6
-
-
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
R
18
9
9
-
9
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
R
18
9
9
-
9
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
S
19
10
1
-
-
-
S
19
10
1
-
-
-
I
9
9
9
-
9
-
R
18
9
9
-
9
-
I
9
9
9
-
9
-
U
21
3
3
-
-
-
S
19
10
1
-
-
20
OSIRIS IRIS ISIS SIRIUS
-
-
-
-
-

 

 

 

 

20
OSIRIS IRIS ISIS SIRIUS
-
-
-
-
O
15
6
6
-
S
19
10
1
-
I
9
9
9
-
R
18
9
9
-
I
9
9
9
-
S
19
10
1
-
I
9
9
9
-
R
18
9
9
-
I
9
9
9
-
S
19
10
1
-
I
9
9
9
-
S
19
10
1
-
I
9
9
9
-
S
19
10
1
-
S
19
10
1
-
I
9
9
9
-
R
18
9
9
-
I
9
9
9
-
U
40
13
4
-
S
19
10
1
20
OSIRIS IRIS ISIS SIRIUS
-
-
-

 

 

20
OSIRIS ISIS IRIS SIRIUS
-
-
-
6
OSIRIS
89
53
8
4
ISIS
56
38
2
4
IRIS
55
37
1
6
SIRIUS
95
50
5
20
OSIRIS ISIS IRIS SIRIUS
295
178
16
2+0
-
2+9+5
1+7+8
1+6
20
OSIRIS ISIS IRIS SIRIUS
16
16
7
-
-
1+6
1+6
-
20
OSIRIS ISIS IRIS SIRIUS
7
7
7

 

 

-
-
-
-
-
OSIRIS ISIS IRIS SIRIUS
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
OSIRIS
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
35
-
6
OSIRIS
89
53
35
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ISIS
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
20
-
4
ISIS
56
38
20
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
IRIS
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
28
-
4
IRIS
55
37
28
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIRIUS
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
S
-
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
32
-
6
SIRIUS
95
50
32
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
115
-
20
OSIRIS ISIS IRIS SIRIUS
295
178
115
-
7
2
3
4
5
6
7
8
90
-
-
1+1+5
-
2+0
-
2+9+5
1+7+8
1+1+5
-
-
-
-
-
-
-
-
-
9+0
-
-
7
-
2
OSIRIS ISIS IRIS SIRIUS
16
16
7
-
7
2
3
4
5
6
7
8
9
-
-
-
-
-
-
1+6
1+6
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
2
OSIRIS ISIS IRIS SIRIUS
7
7
7
-
7
2
3
4
5
6
7
8
9

 

 

OSIRIS ISIS SIRIUS ORION

 

-
OSIRIS ISIS SIRIUS ORION
-
-
-
6
OSIRIS
89
53
8
4
ISIS
56
38
2
6
SIRIUS
95
50
5
5
ORION
71
35
8
21
ISIS OSIRIS SIRIUS ORION
311
176
23
2+1
-
3+1+1
1+7+6
2+3
3
ISIS OSIRIS SIRIUS ORION
5
14
5
-
-
-
1+4
-
3
ISIS OSIRIS SIRIUS ORION
5
5
5

 

 

-
-
-
-
-
OSIRIS ISIS SIRIUS ORION
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
OSIRIS
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
35
-
6
OSIRIS
89
53
35
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ISIS
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
20
-
4
ISIS
56
38
20
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SIRIUS
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
S
-
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
32
-
6
SIRIUS
95
50
32
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ORION
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
35
-
5
ORION
67
22
22
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
122
-
21
OSIRIS ISIS SIRIUS ORION
311
176
122
-
6
2
3
4
5
18
7
8
90
-
-
1+2+2
-
2+1
-
3+1+1
1+6+7
1+2+2
-
-
-
-
-
-
1+8
-
-
9+0
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
14
5
-
6
2
3
4
5
9
7
8
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
5
5
-
6
2
3
4
5
9
7
8
9

 

 

-
OSIRIS ISIS SIRIUS ORION
-
-
-
6
OSIRIS
89
53
8
4
ISIS
56
38
2
6
SIRIUS
95
50
5
5
ORION
71
35
8
21
ISIS OSIRIS SIRIUS ORION
311
176
23
2+1
-
3+1+1
1+7+6
2+3
3
ISIS OSIRIS SIRIUS ORION
5
14
5
-
-
-
1+4
-
3
ISIS OSIRIS SIRIUS ORION
5
5
5

 

9 X 10 = 99 = 10 X 9

 

-
-
-
-
-
OSIRIS ISIS SIRIUS ORION
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
-
7
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
-
7
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
-
7
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
-
7
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
-
7
8
-
S
-
1
-
1
S
19
10
1
-
1
2
-
4
-
-
7
8
-
U
=
3
-
1
U
21
3
3
-
-
2
3
4
-
-
7
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
-
7
8
-
O
=
6
-
1
O
15
6
6
-
-
2
-
4
-
6
7
8
-
O
=
6
-
1
O
15
6
6
-
-
2
-
4
-
6
7
8
-
O
=
6
-
1
O
15
6
6
-
-
2
-
4
-
6
7
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
-
7
8
9
R
=
9
-
1
R
18
9
9
-
-
2
-
4
-
-
7
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
-
7
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
-
7
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
-
7
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
-
7
8
9
R
=
9
-
1
R
18
9
9
-
-
2
-
4
-
-
7
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
-
7
8
9
R
=
9
-
1
R
18
9
9
-
-
2
-
4
-
-
7
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
-
7
8
9
-
-
23
-
21
OSIRIS ISIS SIRIUS ORION
311
176
122
-
6
2
3
4
5
18
7
8
90
-
-
2+3
-
2+1
-
3+1+1
1+6+7
1+2+2
-
-
-
-
-
-
1+8
-
-
9+0
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
14
5
-
6
2
3
4
5
9
7
8
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
5
5
-
6
2
3
4
5
9
7
8
9

 

 

-
-
-
-
-
OSIRIS ISIS SIRIUS ORION
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
-
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
23
-
21
OSIRIS ISIS SIRIUS ORION
311
176
122
-
6
2
3
4
5
18
7
8
90
-
-
2+3
-
2+1
-
3+1+1
1+6+7
1+2+2
-
-
-
-
-
-
1+8
-
-
9+0
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
14
5
-
6
2
3
4
5
9
7
8
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
5
5
-
6
2
3
4
5
9
7
8
9

 

9 X 10 = 99 = 10 X 9

 

-
-
-
-
-
OSIRIS ISIS SIRIUS ORION
-
-
-
-
1
3
5
6
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
S
-
1
-
1
S
19
10
1
-
1
-
-
-
-
U
=
3
-
1
U
21
3
3
-
-
3
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
5
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
O
=
6
-
1
O
15
6
6
-
-
-
-
6
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
R
=
9
-
1
R
18
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
-
-
23
-
21
OSIRIS ISIS SIRIUS ORION
311
176
122
-
6
3
5
18
90
-
-
2+3
-
2+1
-
3+1+1
1+6+7
1+2+2
-
-
-
-
1+8
9+0
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
14
5
-
6
3
5
9
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
5
-
3
OSIRIS ISIS SIRIUS ORION
5
5
5
-
6
3
5
9
9

 

9 X 10 = 99 = 10 X 9

 

-
ISIS OSIRIS SIRIUS ORION
-
-
-
4
ISIS
56
38
2
6
OSIRIS
89
44
8
6
SIRIUS
95
50
5
5
ORION
71
35
8
21
ISIS OSIRIS SIRIUS ORION
311
167
23
2+1
-
3+1+1
1+6+7
2+3
3
ISIS OSIRIS SIRIUS ORION
5
14
5
-
-
-
1+4
-
3
ISIS OSIRIS SIRIUS ORION
5
5
5

 

 

20
ISIS IRIS OSIRIS SIRIUS
-
-
-
4
ISIS
56
38
2
4
IRIS
55
37
1
6
OSIRIS
89
44
8
6
SIRIUS
95
50
5
20
ISIS IRIS OSIRIS SIRIUS
295
169
16
2+0
-
2+9+5
1+6+9
1+6
20
ISIS IRIS OSIRIS SIRIUS
16
16
7
-
-
1+6
1+6
-
20
ISIS IRIS OSIRIS SIRIUS
7
7
7

 

 

-
ISIS OSIRIS
-
-
-
4
ISIS
56
38
2
6
OSIRIS
89
44
8
10
ISIS OSIRIS
145
82
10
1+0
-
1+4+5
8+2
1+0
1
ISIS OSIRIS
10
10
1
-
-
1+0
1+0
-
1
ISIS OSIRIS
1
1
1

 

 

-
IRIS OSIRIS
-
-
-
4
IRIS
55
37
1
6
OSIRIS
89
44
8
10
IRIS OSIRIS
144
81
9
1+0
-
1+4+4
8+1
-
1
IRIS OSIRIS
9
9
9

 

 

4
ISIS
9
1
9
1
-
-
4
IRIS
9
9
9
1
-
-
6
OSIRIS
6
1
9
9
9
1
6
SIRIUS
1
9
9
9
3
1

 

 

-
ISIS OSIRIS
-
-
-
-
-
-
4
ISIS
9
1
9
1
-
-
6
OSIRIS
6
1
9
9
9
1
10
ISIS OSIRIS
15
2
18
10
9
1
1+0
-
1+5
-
1+8
1+0
-
-
1
ISIS OSIRIS
6
2
9
1
9
1

 

 

-
IRIS OSIRIS
-
-
-
-
-
-
4
IRIS
9
9
9
1
-
-
6
OSIRIS
6
1
9
9
9
1
10
IRIS OSIRIS
15
10
18
10
9
1
1+0
-
1+5
1+0
1+8
1+0
-
-
1
IRIS OSIRIS
6
1
9
1
9
1

 

 

10
I
R
I
S
O
S
I
R
I
S
-
9
9
9
1
6
1
9
9
9
1
10
I
R
I
S
O
S
I
R
I
S
-
-
-
-
1
-
1
-
-
-
1
-
-
-
-
-
6
-
-
-
-
-
-
9
9
9
-
-
-
9
9
9
-
10
I
R
I
S
O
S
I
R
I
S

 

 

10
I
S
I
S
O
S
I
R
I
S
-
9
9
9
1
6
1
9
9
9
1
10
I
S
I
S
O
S
I
R
I
S
-
-
-
-
1
-
1
-
-
-
1
-
-
-
-
-
6
-
-
-
-
-
-
9
9
9
-
-
-
9
9
9
-
10
I
S
I
S
O
S
I
R
I
S

 

 

10
I
S
I
S
O
S
I
R
I
S
-
-
-
-
-
-
-
-
-
-
9
9
9
1
6
1
9
9
9
1
+
=
55
5+5
=
10
1+0
=
1
10
I
S
I
S
O
S
I
R
I
S
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
1
-
-
-
1
+
=
4
-
-
4
-
-
-
-
-
-
-
-
6
-
-
-
-
-
+
=
6
-
-
6
-
-
-
-
9
-
9
-
-
-
9
9
9
-
+
=
45
4+5
=
9
-
-
-
10
I
S
I
S
O
S
I
R
I
S
-
-
55
-
-
19
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5+5
-
-
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
10
-
-
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+0
-
-
1+0
-
-
-
10
I
S
I
S
O
S
I
R
I
S
-
-
1
-
-
1
-
-
-

 

 

8
I
S
I
S
I
R
I
S
-
-
-
-
-
-
-
-
-
-
9
1
9
1
9
9
9
1
+
=
48
4+8
=
12
1+2
=
3
8
I
S
I
S
I
R
I
S
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
1
+
=
3
-
-
3
-
-
-
-
9
-
9
-
9
9
9
-
+
=
45
4+5
=
9
-
-
-
8
I
S
I
S
I
R
I
S
-
-
48
-
-
12
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4+8
-
-
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
12
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+2
-
-
-
-
-
-
8
I
S
I
S
I
R
I
S
-
-
3
-
-
3
-
-
-

 

 

20
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
6
1
9
9
9
1
9
1
9
1
9
9
9
1
1
9
9
9
3
1
-
-
-
-
-
-
20
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
1
-
-
-
1
-
1
-
1
-
-
-
1
1
-
-
-
-
1
+
=
7
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
+
=
3
-
-
3
-
6
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
=
6
-
-
6
-
-
-
9
9
9
-
9
-
9
-
9
9
9
-
-
9
9
9
-
-
+
=
99
9+9
=
18
20
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
9
9
9
-
9
-
9
-
9
9
9
-
-
9
9
9
-
-
-
-
-
-
-
-
20
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
9
-
9
-
9
-
9
-
9
-
9
-
-
9
-
9
-
-
+
=
72
7+2
=
9
-
-
1
-
-
-
1
-
1
-
1
-
-
-
1
1
-
-
-
-
1
+
=
7
-
-
7
20
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-

 

 

12
O
S
I
R
I
S
-
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
9
-
9
-
-
+
=
36
3+6
=
9
-
-
-
-
-
1
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
-
-
-
1
9
-
9
1
-
1
9
-
9
-
1
+
=
40
4+0
=
4
-
-
-
12
O
S
I
R
I
S
-
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
6
1
9
9
9
1
-
1
9
9
9
3
1
+
=
67
6+7
=
13
1+3
=
4
12
O
S
I
R
I
S
-
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
3
-
+
=
3
-
-
-
-
-
3
-
6
--
-
-
-
-
-
-
-
-
-
-
-
+
=
6
-
-
-
-
-
6
-
-
-
9
9
9
-
-
-
9
9
9
-
-
+
=
54
5+4
=
-
-
-
9
12
O
S
I
R
I
S
-
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-

 

 

1
occurs
x
4
=
4
-
-
4
3
occurs
x
1
=
3
-
-
3
6
occurs
x
1
=
6
-
-
6
9
occurs
x
6
=
54
5+4
=
9
19
-
-`
12
-
67
-
-
22
1+9
-
-
1+2
-
6+7
-
-
2+2
10
-
-
3
-
13
-
-
4
1+0
-
-
-
-
1+3
-
-
-
1
-
-
7
-
4
-
-
4

 

 

16
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
6
1
9
9
9
1
9
1
9
1
1
9
9
9
3
1
9
9
3
1
-
-
-
-
-
16
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
6
1
9
9
9
1
9
9
9
1
1
9
9
9
3
1
+
=
95
9+5
=
14
1+4
=
5
-
-
1
-
-
-
1
-
-
-
1
1
-
-
-
-
1
+
=
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
+
=
3
-
-
-
-
-
3
-
6
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
=
6
-
-
-
-
-
6
-
-
-
9
9
9
-
9
9
9
-
-
9
9
9
-
-
+
=
81
8+1
=
-
-
-
9
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
9
9
9
-
9
9
9
-
-
9
9
9
-
-
-
-
-
-
-
-
-
-
-
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
9
-
9
-
-
9
-
9
-
-
+
=
54
5+4
=
-
-
-
9
-
-
1
-
-
-
1
-
-
-
1
1
-
-
-
-
1
+
=
5
-
-
-
-
-
5
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
59
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5+9
-
-
-
-
-
-
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
14
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
5
-
-
-
-
-
-

 

 

1
occurs
x
5
=
5
-
-
5
3
occurs
x
1
=
3
-
-
3
6
occurs
x
1
=
6
-
-
6
9
occurs
x
9
=
81
8+1
=
9
19
-
-`
16
-
95
-
-
23
1+9
-
-
1+6
-
9+5
-
-
2+3
10
-
-
7
-
14
-
-
5
1+0
-
-
-
-
1+4
-
-
-
1
-
-
7
-
5
-
-
5

 

 

12
S
I
R
I
U
S
-
S
O
T
H
I
S
-
-
-
-
-
-
-
-
-
-
19
9
18
9
21
19
-
19
15
20
8
9
19
+
=
185
1+8+5
=
14
1+4
=
5
12
S
I
R
I
U
S
-
S
O
T
H
I
S
-
-
-
-
-
-
-
-
-
-
1
9
9
9
3
1
-
1
6
2
8
9
1
+
=
59
5+9
=
14
1+4
=
5
-
1
-
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
2
-
-
-
+
=
2
-
-
-
-
-
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
+
=
3
-
--
-
-
-
3
-
-
-
-
-
-
-
-
-
6
-
-
-
-
+
=
6
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
8
-
-
+
=
8
-
-
-
-
-
8
-
-
9
9
9
-
-
-
-
-
-
-
9
-
+
=
36
3+6
=
-
-
-
9
12
S
I
R
I
U
S
-
S
O
T
H
I
S
+
=
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
-
9
-
+
=
27
2+7
=
-
-
-
9
-
1
-
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
4
-
S
I
R
I
U
S
-
S
O
T
H
I
S
-
-
-
-
-
-
-
-
-

 

 

R
=
9
-
6
RE ATUM
78
24
6
1
S
=
1
-
3
SHU
48
12
3
2
T
=
2
-
6
TEFNUT
86
23
5
3
G
=
7
-
3
GEB
14
14
5
4
N
=
5
-
3
NUT
55
10
1
5
O
=
6
-
6
OSIRIS
89
35
8
6
I
=
9
-
4
ISIS
56
20
2
7
S
=
1
-
3
SET
44
8
8
8
N
=
5
-
8
NEPHTHYS
115
43
7
9
-
-
45
-
42
First Total
585
189
45
45
-
-
4+5
-
4+2
Add to Reduce
5+8+5
1+8+9
4+5
4+5
-
-
9
-
6
Second Total
18
18
9
9
-
-
-
-
-
Reduce to Produce
1+8
1+8
-
-
-
-
9
-
6
Essence of Number
9
9
9
9

 

3
THE
33
15
6
5
ENNEA
39
21
3

 

 

 

-

THE ENNEA

-
-
-
2

TH
28
10
1
1

E
5
5
5
1

E
5
5
5
1

N
14
5
5
1

N
14
5
5
1

E
5
5
5
1

A
1
1
1
9

THE ENNEA

72
36
27
-
-
7+2
3+6
2+7
9
THE ENNEA-
9
9
9

 

 

3
THE
33
15
6
5
ENNEA
39
21
3

 

-
8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
--
-
-
-
-
-
8
-
-
-
5
5
-
-
+
=
18
1+8
=
9
-
9
=
9
-
-
-
8
-
-
-
14
14
-
-
+
=
36
3+6
=
9
-
9
=
9
-
8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
-
-
-
-
`-
2
-
5
-
5
-
-
5
1
+
=
18
1+8
=
9
-
9
=
9
-
-
20
-
5
-
5
-
-
5
1
+
=
36
3+6
=
9
-
9
=
9
-
8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
-
-
-
-
`-
20
8
5
-
5
14
14
5
1
+
=
72
7+2
=
9
-
9
=
9
-
-
2
8
5
-
5
5
5
5
1
+
=
36
3+6
=
9
-
9
=
9
-
8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
5
-
5
5
5
5
-
-
-
5
occurs
x
5
=
25
2+5
7
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
29
8
T
H
E
-
E
N
N
E
A
-
-
16
-
-
8
-
36
-
18
2+9
-
-
-
5
-
5
5
5
5
-
-
-
1+6
-
-
-
-
3+6
-
1+8
11
8
T
H
E
-
E
N
N
E
A
-
-
7
-
-
8
-
9
-
9
1+1
-
2
8
5
-
5
5
5
5
1
-
-
-
-
-
-
-
-
-
-
2
8
T
H
E
-
E
N
N
E
A
-
-
7
-
-
8
-
9
-
9

 

 

8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
--
-
-
-
-
8
-
-
-
5
5
-
-
+
=
18
1+8
=
9
-
9
=
9
-
-
8
-
-
-
14
14
-
-
+
=
36
3+6
=
9
-
9
=
9
8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
-
-
-
`-
2
-
5
-
5
-
-
5
1
+
=
18
1+8
=
9
-
9
=
9
-
20
-
5
-
5
-
-
5
1
+
=
36
3+6
=
9
-
9
=
9
8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
-
-
-
`-
20
8
5
-
5
14
14
5
1
+
=
72
7+2
=
9
-
9
=
9
-
2
8
5
-
5
5
5
5
1
+
=
36
3+6
=
9
-
9
=
9
8
T
H
E
-
E
N
N
E
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
5
-
5
5
5
5
-
-
-
5
occurs
x
5
=
25
2+5
7
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
8
T
H
E
-
E
N
N
E
A
-
-
16
-
-
8
-
36
-
18
-
-
-
5
-
5
5
5
5
-
-
-
1+6
-
-
-
-
3+6
-
1+8
8
T
H
E
-
E
N
N
E
A
-
-
7
-
-
8
-
9
-
9
-
2
8
5
-
5
5
5
5
1
-
-
-
-
-
-
-
-
-
-
8
T
H
E
-
E
N
N
E
A
-
-
7
-
-
8
-
9
-
9

 

 

-
9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
--
-
-
-
-
-
8
-
-
-
5
5
-
-
-
+
=
18
1+8
=
9
=
9
=
9
-
-
-
8
-
-
-
14
14
-
-
-
+
=
36
3+6
=
9
=
9
=
9
-
9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
-
-
-
-
`-
2
-
5
-
5
-
-
5
1
4
+
=
22
2+2
=
4
=
4
=
4
-
-
20
-
5
-
5
-
-
5
1
4
+
=
40
4+0
=
4
=
4
=
4
-
9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
-
-
-
-
`-
20
8
5
-
5
14
14
5
1
4
+
=
76
7+6
=
13
1+3
4
=
4
-
-
2
8
5
-
5
5
5
5
1
4
+
=
40
4+0
=
4
=
4
=
4
-
9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
5
5
5
5
-
-
-
-
5
occurs
x
5
=
25
2+5
7
6
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
25
9
T
H
E
-
E
N
N
E
A
D
-
-
20
-
-
9
-
40
-
22
2+5
-
2
8
5
-
5
5
5
5
1
4
-
-
2+0
-
-
-
-
4+0
-
2+2
7
9
T
H
E
-
E
N
N
E
A
D
-
-
2
-
-
9
-
4
-
4

 

 

9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
--
-
-
-
-
8
-
-
-
5
5
-
-
-
+
=
18
1+8
=
9
=
9
=
9
-
-
8
-
-
-
14
14
-
-
-
+
=
36
3+6
=
9
=
9
=
9
9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
-
-
-
`-
2
-
5
-
5
-
-
5
1
4
+
=
22
2+2
=
4
=
4
=
4
-
20
-
5
-
5
-
-
5
1
4
+
=
40
4+0
=
4
=
4
=
4
9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
-
-
-
`-
20
8
5
-
5
14
14
5
1
4
+
=
76
7+6
=
13
1+3
4
=
4
-
2
8
5
-
5
5
5
5
1
4
+
=
40
4+0
=
4
=
4
=
4
9
T
H
E
-
E
N
N
E
A
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
5
5
5
5
-
-
-
-
5
occurs
x
5
=
25
2+5
7
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
T
H
E
-
E
N
N
E
A
D
-
-
20
-
-
9
-
40
-
22
-
2
8
5
-
5
5
5
5
1
4
-
-
2+0
-
-
-
-
4+0
-
2+2
9
T
H
E
-
E
N
N
E
A
D
-
-
2
-
-
9
-
4
-
4

 

 

9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
-
8
-
-
-
-
-
9
-
-
+
=
17
1+7
=
8
=
8
-
-
-
8
-
-
-
-
-
9
-
-
+
=
17
1+7
=
8
=
8
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
2
-
5
-
6
1
4
9
3
7
+
=
28
2+8
=
10
1+0
1
-
-
20
-
5
-
6
1
13
9
12
25
+
=
82
8+2
=
10
1+0
1
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
20
8
5
-
6
1
13
9
12
25
+
=
99
9+9
=
18
1+8
9
-
-
2
8
5
-
6
1
4
9
3
7
+
=
45
4+5
=
9
-
9
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
2
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
8
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
9
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
45
9
T
H
E
-
F
A
M
I
L
Y
-
-
45
-
-
9
-
45
4+5
-
-
-
-
-
-
-
-
9
-
-
-
-
4+5
-
-
-
-
4+5
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
9
-
-
9
-
9
-
-
2
8
5
-
6
1
4
9
3
7
-
-
-
-
-
--
-
-
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
9
-
-
9
-
9

 

 

3
THE
33
15
6
6
FAMILY
66
30
3
9
First Total
99
45
45
-
Add to Reduce
9+9
4+5
4+5
9
Second Total
18
9
9
-
Reduce to Produce
1+8
-
-
9
Essence of Number
9
9
9

 

 

3
THE
-
-
-
6
FAMILY
-
-
-
-
T
20
2
2
-
H
8
8
8
-
E
5
5
5
-
THE
-
-
-
-
F
6
6
6
-
A
1
1
1
-
M
13
4
4
-
I
9
9
9
-
L
12
3
3
-
Y
25
7
7
-
FAMILY
-
-
-
9
Add to Reduce
99
45
45
-
Reduce to Deduce
9+9
4+5
4+5
9
Essence of Number
18
9
9

 

 

9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
-
8
-
-
-
-
-
9
-
-
+
=
17
1+7
=
8
=
8
-
-
-
8
-
-
-
-
-
9
-
-
+
=
17
1+7
=
8
=
8
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
2
-
5
-
6
1
4
9
3
7
+
=
28
2+8
=
10
1+0
1
-
-
20
-
5
-
6
1
13
9
12
25
+
=
82
8+2
=
10
1+0
1
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
20
8
5
-
6
1
13
9
12
25
+
=
99
9+9
=
18
1+8
9
-
-
2
8
5
-
6
1
4
9
3
7
+
=
45
4+5
=
9
-
9
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
2
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
8
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
9
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
45
9
T
H
E
-
F
A
M
I
L
Y
-
-
45
-
-
9
-
45
4+5
-
-
-
-
-
-
-
-
9
-
-
-
-
4+5
-
-
-
-
4+5
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
9
-
-
9
-
9
-
-
2
8
5
-
6
1
4
9
3
7
-
-
-
-
-
--
-
-
9
9
T
H
E
-
F
A
M
I
L
Y
-
-
9
-
-
9
-
9

 

 

9
9
T
H
E
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
-
8
-
-
-
-
9
-
-
+
=
17
1+7
=
8
=
8
-
-
-
8
-
-
-
-
9
-
-
+
=
17
1+7
=
8
=
8
9
9
T
H
E
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
2
-
5
6
1
4
9
3
7
+
=
28
2+8
=
10
1+0
1
-
-
20
-
5
6
1
13
9
12
25
+
=
82
8+2
=
10
1+0
1
9
9
T
H
E
F
A
M
I
L
Y
-
-
-
-
-
--
-
-
-
-
20
8
5
6
1
13
9
12
25
+
=
99
9+9
=
18
1+8
9
-
-
2
8
5
6
1
4
9
3
7
+
=
45
4+5
=
9
-
9
9
9
T
H
E
F
A
M
I
L
Y
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
2
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
6
-
-
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
8
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
9
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
45
9
T
H
E
F
A
M
I
L
Y
-
-
45
-
-
9
-
45
4+5
-
-
-
-
-
-
-
9
-
-
-
-
4+5
-
-
-
-
4+5
9
9
T
H
E
F
A
M
I
L
Y
-
-
9
-
-
9
-
9
-
-
2
8
5
6
1
4
9
3
7
-
-
-
-
-
--
-
-
9
9
T
H
E
F
A
M
I
L
Y
-
-
9
-
-
9
-
9

 

 

3
THE
33
15
6
6
FAMILY
66
30
3
9
First Total
99
45
45
-
Add to Reduce
9+9
4+5
4+5
9
Second Total
18
9
9
-
Reduce to Produce
1+8
-
-
9
Essence of Number
9
9
9

 

 

3
THE
-
-
-
6
FAMILY
-
-
-
-
T
20
2
2
-
H
8
8
8
-
E
5
5
5
-
THE
-
-
-
-
F
6
6
6
-
A
1
1
1
-
M
13
4
4
-
I
9
9
9
-
L
12
3
3
-
Y
25
7
7
-
FAMILY
-
-
-
9
Add to Reduce
99
45
45
-
Reduce to Deduce
9+9
4+5
4+5
9
Essence of Number
18
9
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
THE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FAMILY
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
-
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
F
=
6
-
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
L
=
3
-
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
FAMILY
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
THE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
9
-
99
45
45
-
1
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
9+9
4+5
4+5
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
18
9
9
-
1
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
THE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FAMILY
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
F
=
6
-
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
-
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
FAMILY
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
THE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
9
-
99
45
45
-
1
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
9+9
4+5
4+5
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
18
9
9
-
1
2
3
4
5
6
7
8
9

 

 

3
THE
-
-
-
6
FAMILY
-
-
-
-
A
1
1
1
-
T
20
2
2
-
L
12
3
3
-
M
13
4
4
-
E
5
5
5
-
F
6
6
6
-
Y
25
7
7
-
H
8
8
8
-
I
9
9
9
3
THE
-
-
-
-
FAMILY
-
-
-
9
Add to Reduce
99
45
45
-
Reduce to Deduce
9+9
4+5
4+5
9
Essence of Number
18
9
9

 

 

 

FIRST CONTACT 1980

 

 

 

 

4
BOOK
43
16
7
2
OF
21
12
3
6
COMING
61
34
7
5
FORTH
67
31
4
4
INTO
58
22
4
5
LIGHT
56
29
2
26
-
306
144
27
2+6
-
3+0+6
1+4+4
2+7
8
TO
9
9
9

 

ENTERS NETERS ENTERS THE NETERS NETERS ENTERS

 

 

THE ELEMENTS OF EGYPTIAN WISDOM

Naomi Ozaniec 1994

THE SACRED SCRIPT - THE MEDU NETERS

Page 80 / The logical mind begins to reel / Page 81 / Language as evocation is immensely powerful. Word play is not finished; Neith can also be written by spelling the 't' with the sign for land, ta, in combination with the sign for water, 'n'. This particular hieroglyph represents ruffled water. By spelling the same name in a different way, we are presented with a different set of ideas. Here is Neith as 'the primeval water which gave birth to the land,' a theologically familiar concept. Once again a brief word encapsulates both divine name and divine function.

Hieroglyphic omitted

Schwaller de Lubicz reminds us repeatedly that we do need to look for a convoluted symbolism. The Medu Neters were chosen in such a way as to really signify all the qualities and functions implicit in the image. We are of course removed from the direct observation of vulture and ibis, crocodile and falcon, It is hard for us to understand the subtleties of movement, habit or life cycle which prompted a recognition deep in the Egyptian mind. It is well known that the humble dung beetle was raised to a sacred status from its simple egg-laying habit. The young emerged from the ball of dung as new life unbegotten. It is less well known that the scarab resembles the human skull, its two wing cases being reminiscent of the two halves of the human skull.

The ability to find the cosmic In the mundane through a correspondence is the hallmark of a mind sensitized through symbolic training. Any contemporary Qabalist recognizes this function for what it is, the inner workings of an esoteric system. These brief examples serve to illustrate the workings of both the Egyptian mind and the Egyptian tradition. Each letter had its own secret; all sacred alphabets are constructed in this way. Moreover a sacred language always serves a double purpose, a written double entendre. To the uninitiated there is no secret to hide. The language functions perfectly well at a purely practical level. To the initiated there exists another level of inner meaning as opposed to the apparent meaning. The inner meaning requires no elaborate subterfuge. It is there all the time, open and blatant. 'It / Page 82 / is hidden from view only because it represents a higher non-cerebral consciousness which simply evades the logical mind.

The Egyptians preserved this double function with astonishing brilliance and clarity over an immensely long period of time. Hebrew still functions as a sacred alphabet.. Each of its letters signifies ideas, numbers and cosmic principles.. A word becomes a code for an abstraction, a metaphysical concept, an esoteric teaching. An outsider cannot penetrate into the labyrinthine maze of meanings without becoming lost in ideas and distracted by elusive possibilities. A guide is always required in such matters - scribal training took place through an apprenticeship system. It is a mistake to think that we might uncover how the scribes viewed individual hieroglyphs by simply applying any meaning that springs to our mind. It is Clear that individual signs and arrangements carried a precise range of corresponding symbols.

Schwaller de Lubicz acts as our guide into the intricacies of an individual hieroglyph in the book Her-Bak.

The letter r is written in the lenticular shape of a half open mouth. Now look. for the ideas, qualities and functions this sign represents. First, its nature. The mouth, ra, is the upper opening of the body, an entrance that communicates by two channels with the lungs and stomach; that is why this hieroglyph is also the generic word for an entrance, ra. The mouth opens and shuts to eat, breathe and speak, as the eye, ar.t, opens and shuts to receive or refuse light. The mouth's function is dual, passive and active, it receives air and food, emits breath and voice. The eye's function is dual, likewise 'the reception of light and expression of organic and emotional response. The mouth's shape changes by the separation of the lips for the performance of its function. Opening, it widens or narrows like the shadow thrown on a disc by another disc which gradually eclipses it. In the partially occulted disc, the lentil or dark mouth is the complement of the crescent still visible. This gradual change of shape produces portions of different size that represents parts of the occulted disc. The characteristic has given the name ra to parts of a whole such as numerical fractions, chapters and so forth.

Page 83

These profound thoughts revolve around a single letter majestic insights might we discover if only someone would serve as our guide through all the hieroglyphic combinations! Here is a way of thinking quite unlike our own, a mind set removed from our utilitarian use of language. This totally symbolic thinking produced completely practical applications, as we see through Egypt's many lasting achievements there is no grounds whatsoever for thinking that this symbolic system produced woolly mindedness. On the contrary it gave rise to a mind that was both extensive and focused, deep and creative, traditonal yet original.

 

 

ESOTERIC = 4 = ESOTERIC

ESOTERIC

I

SECRET

O

ESOTERIC

ESOTERIC = 4 = ESOTERIC

 

 

ESOTERIC 6 SECRET 9 ESOTERIC

ESOTERIC 9 SECRET 6 ESOTERIC

 

 

ESOTERIC ISISIS ESOTERIC

O

SECRET

I

6 SECRET 9

ESOTERIC ISIS ESOTERIC

 

 

-
ESOTERIC
-
-
-
1
E
5
5
5
1
S
19
10
1
1
O
15
6
6
1
T
20
2
2
1
E
5
5
5
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ESOTERIC
94
49
40
-
-
9+4
4+9
4+0
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
1
E
5
5
5
3
SOT
54
18
9
1
E
5
5
5
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ESOTERIC
94
49
40
-
-
9+4
4+9
4+0
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
5
ESOTE
64
28
1
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ESOTERIC
94
49
40
-
-
9+4
4+9
4+0
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
1
I
9
9
9
6
SECRET
70
34
7
1
O
15
6
6
8
ESOTERIC
94
49
22
-
-
9+4
4+9
2+2
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
1
O
15
6
6
6
SECRET
70
34
7
1
I
9
9
9
8
ESOTERIC
94
49
22
-
-
9+4
4+9
2+2
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
--
-
-
-
-
-
-
6
-
1
-
-
-
-
-
-
9
+
=
16
1+6
=
7
=
7
=
7
-
-
15
-
19
-
-
-
-
-
-
9
+
=
43
4+3
=
7
=
7
=
7
-
16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
5
3
9
5
2
-
-
+
=
24
2+4
=
6
=
6
=
6
-
-
-
-
-
5
3
18
5
20
-
-
+
=
51
5+1
=
6
=
6
=
6
-
16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
--
-
-
-
-
-
-
15
-
19
5
3
18
5
20
-
9
+
=
94
9+4
=
13
1+3
4
=
4
-
-
6
-
1
5
3
9
5
2
-
9
+
=
40
4+0
=
4
=
4
=
4
-
16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
-
-
-
-
-
``-
-
-
--
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
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
19
16
O
-
S
E
C
R
E
T
-
I
-
-
26
-
-
8
-
40
-
22
1+9
1+6
-
---
-
-
-
9
-
-
---
9
-
-
2+6
-
-
-
-
4+0
-
2+2
10
7
O
-
S
E
C
R
E
T
-
I
-
-
8
-
-
8
-
4
-
4
1+0
-
6
-
1
5
3
9
5
2
-
9
-
-
-
1
-
-
-
-
-
-
1
7
O
-
S
E
C
R
E
T
-
I
-
-
8
-
-
8
-
4
-
4

 

 

16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
--
-
-
-
-
-
6
-
1
-
-
-
-
-
-
9
+
=
16
1+6
=
7
=
7
=
7
-
15
-
19
-
-
-
-
-
-
9
+
=
43
4+3
=
7
=
7
=
7
16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
3
9
5
2
-
-
+
=
24
2+4
=
6
=
6
=
6
-
-
-
-
5
3
18
5
20
-
-
+
=
51
5+1
=
6
=
6
=
6
16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
--
-
-
-
-
-
15
-
19
5
3
18
5
20
-
9
+
=
94
9+4
=
13
1+3
4
=
4
-
6
-
1
5
3
9
5
2
-
9
+
=
40
4+0
=
4
=
4
=
4
16
O
-
S
E
C
R
E
T
-
I
-
-
-
-
-
-
-
-
-
-
-
-
--
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
-
6
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
9
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
16
O
-
S
E
C
R
E
T
-
I
-
-
26
-
-
8
-
40
-
22
1+6
-
---
-
-
-
9
-
-
---
9
-
-
2+6
-
-
-
-
4+0
-
2+2
7
O
-
S
E
C
R
E
T
-
I
-
-
8
-
-
8
-
4
-
4
-
6
-
1
5
3
9
5
2
-
9
-
-
-
1
-
-
-
-
-
-
7
O
-
S
E
C
R
E
T
-
I
-
-
8
-
-
8
-
4
-
4

 

 

-
16
O
S
E
C
R
E
T
-
-
-
-
-
--
-
-
-
-
-
-
6
1
-
-
-
-
-
9
+
=
16
1+6
=
7
=
7
=
7
-
-
15
19
-
-
-
-
-
9
+
=
43
4+3
=
7
=
7
=
7
-
16
O
S
E
C
R
E
T
I
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
3
9
5
2
-
+
=
24
2+4
=
6
=
6
=
6
-
-
-
-
5
3
18
5
20
-
+
=
51
5+1
=
6
=
6
=
6
-
16
O
S
E
C
R
E
T
I
-
-
-
-
-
--
-
-
-
-
-
-
15
19
5
3
18
5
20
9
+
=
94
9+4
=
13
1+3
4
=
4
-
-
6
1
5
3
9
5
2
9
+
=
40
4+0
=
4
=
4
=
4
-
16
O
S
E
C
R
E
T
I
-
-
-
-
-
-
-
-
-
-
``-
-
-
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
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
19
16
O
S
E
C
R
E
T
I
-
-
26
-
-
8
-
40
-
22
1+9
1+6
-
-
-
-
9
-
-
9
-
-
2+6
-
-
-
-
4+0
-
2+2
10
7
O
S
E
C
R
E
T
I
-
-
8
-
-
8
-
4
-
4
1+0
-
6
1
5
3
9
5
2
9
-
-
-
1
-
-
-
-
-
-
1
7
O
S
E
C
R
E
T
I
-
-
8
-
-
8
-
4
-
4

 

 

16
O
S
E
C
R
E
T
-
-
-
-
-
--
-
-
-
-
-
6
1
-
-
-
-
-
9
+
=
16
1+6
=
7
=
7
=
7
-
15
19
-
-
-
-
-
9
+
=
43
4+3
=
7
=
7
=
7
16
O
S
E
C
R
E
T
I
-
-
-
-
-
--
-
-
-
-
-
-
-
5
3
9
5
2
-
+
=
24
2+4
=
6
=
6
=
6
-
-
-
5
3
18
5
20
-
+
=
51
5+1
=
6
=
6
=
6
16
O
S
E
C
R
E
T
I
-
-
-
-
-
--
-
-
-
-
-
15
19
5
3
18
5
20
9
+
=
94
9+4
=
13
1+3
4
=
4
-
6
1
5
3
9
5
2
9
+
=
40
4+0
=
4
=
4
=
4
16
O
S
E
C
R
E
T
I
-
-
-
-
-
-
-
-
-
-
-
-
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
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
9
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
16
O
S
E
C
R
E
T
I
-
-
26
-
-
8
-
40
-
22
1+6
-
-
-
-
9
-
-
9
-
-
2+6
-
-
-
-
4+0
-
2+2
7
O
S
E
C
R
E
T
I
-
-
8
-
-
8
-
4
-
4
-
6
1
5
3
9
5
2
9
-
-
-
1
-
-
-
-
-
-
7
O
S
E
C
R
E
T
I
-
-
8
-
-
8
-
4
-
4

 

 

-
ESOTERIC
-
-
-
1
O
15
6
6
6
SECRET
70
34
7
1
I
9
9
9
8
ESOTERIC
94
49
22
-
-
9+4
4+9
2+2
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
8
E
S
O
T
E
R
I
C
-
-
-
-
-
--
-
-
-
-
-
-
-
1
6
-
-
-
9
-
+
=
16
1+6
=
7
=
7
=
7
-
-
-
19
15
-
-
-
9
-
+
=
43
4+3
=
7
=
7
=
7
-
8
E
S
O
T
E
R
I
C
-
-
-
-
-
--
-
-
-
-
-
-
5
-
-
2
5
9
-
3
+
=
24
2+4
=
6
=
6
=
6
-
-
5
-
-
20
5
18
-
3
+
=
51
5+1
=
6
=
6
=
6
-
8
E
S
O
T
E
R
I
C
-
-
-
-
-
--
-
-
-
-
-
-
5
19
15
20
5
18
9
3
+
=
94
9+4
=
13
1+3
4
=
4
-
-
5
1
6
2
5
9
9
3
+
=
40
4+0
=
4
=
4
=
4
-
8
E
S
O
T
E
R
I
C
-
-
-
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
9
9
-
-
-
9
occurs
x
2
=
18
1+8
9
19
8
E
S
O
T
E
R
I
C
-
-
26
-
-
8
-
40
-
22
1+9
-
-
-
-
-
-
9
9
-
-
-
2+6
-
-
-
-
4+0
-
2+2
10
8
E
S
O
T
E
R
I
C
-
-
8
-
-
8
-
4
-
4
1+0
-
5
1
6
2
5
9
9
3
-
-
-
1
-
-
-
-
-
-
1
8
E
S
O
T
E
R
I
C
-
-
8
-
-
8
-
4
-
4

 

 

8
EXOTERIC
99
45
9
8
ESOTERIC
94
40
4
16
First Total
193
85
13
1+6
Add to Reduce
1+9+3
8+5
1+3
7
Second Total
13
13
4
8
ESOTERIC
94
40
4
7
Essence of Number
4
4
4

 

 

SEE RE C THAT C RE SEE

 

 

ESOTERIC = 4 = ESOTERIC

MATTER MIND SPIRIT GODS SPIRIT MIND MATTER

EXOTERIC = 9 9 = EXOTERIC

E MOTION ISISIS NOITOM E

I

THAT AM THAT

TIME EMIT

 

 

IN

THE

BEGINNING

GOD

CREATED THE HEAVEN AND THE EARTH
 
AND THE EARTH WAS WITHOUT FORM AND VOID

AND DARKNESS WAS UPON THE FACE OF THE DEEP AND THE SPIRIT OF

GOD

MOVED UPON THE FACE OF THE WATERS
 
AND GOD SAID LET THEIR BE LIGHT AND THERE WAS LIGHT

AND GOD SAW THE LIGHT THAT IT WAS GOOD

 

 

THE LOST WORLDS OF 2001

Arthur C. Clarke 1972

Page 99

With Open Hands

"In countless subtle ways, that silent pyramid was leaving its mark upon the world. It had long been predicted that only an external threat could really unite mankind; this prediction now. appeared to be coming true. Behind the scenes, statesmen were already at work, trying to end the national rivalries that had been in existence so long, and of which few could remember the origin. There was even a chance that the concept of world government, that battered dream of the idealists, would soon become reality, though for reasons that were hardly idealistic.
And as far as the mission was concerned, one vital matter of policy had already been decided-even though there were some who considered that it was taking good manners beyond the point of common sense.
The human race, until it knew what it was up against, would be well behaved. Whatever preparations might be made back on Earth, no weapons of any kind would be carried to Jupiter.
Man's emissaries would go into the unknown with open hands."

 

-
JUPITER
-
-
-
3
JUP
47
11
2
1
I
9
9
9
2
TE
25
7
7
1
R
18
9
9
7
JUPITER
99
36
27
-
-
9+9
3+6
2+7
5
JUPITER
18
9
9
-
-
1+8
1+0
-
5
JUPITER
9
9
9

 

 

JUPITER

WHEN STOOD IN LINE WEIGHS IN AT NUMBER

99

 

 

REACH FOR TOMORROW

Arthurc C. Clarke 1956

Introduction

"Unlike authors of so-called mainstream fiction, the. writer of science fiction has the responsibility (often an embarrassing one) of confronting his readers every decade or so, to report on how his ideas have stood the test of time. This, of course, is one excellent reason for setting stories in the very distant future. Then there's no need to explain - or to apologize.
In the case of this volume, much of which was conceived, if not written, almost half a century ago, I'm happy to find relatively few embarrassments. However, I have made some interesting discoveries; for instance, on the very first page of the very first story, I see the number 9000. I've no idea why I selected it again for HAL's serial number, twenty years later. . .

Page 90

THE AWAKENING

"Twenty miles away to the west, rainbow-hued in the sunlight, the upper peaks of the artificial mountain that was City Nine floated above the clouds."

 

 

THE LOST WORLDS OF 2001

Arthur C. Clarke 1972

THE DAWN OF MAN

"During November 1950 I wrote a short story about a meeting in the remote past between visitors from space and a primitive ape-man. An editor at Ballantine Books gave it the ingenious title "Expedition to Earth" when it was published in the book of that name,. but I prefer "Encounter in the Dawn." However, when Harcourt, Brace and World brought out my own selection of favorites, The Nine Billion Names of God, it was mysteriously changed to "Encounter at Dawn."

 

 

OF TIME AND STARS

Arthur C. Clarke 1972

THE NINE BILLION NAMES OF GOD

Page 15 (Number omitted)

This is a slightly unusual request,' said Dr Wagner, with what he hoped was commendable restraint. 'As far as 1 know, it's the first time anyone's been asked to supply a Tibetan monasterf with an Automatic Sequence Computer. 1 don't wish to be inquisitive, but 1 should hardly have thought that your - ah - establishment had much use for such a machine. Could you explain just what you intend to do with it?'
'Gladly,' replied the lama, readjusting his silk robes and carefully putting away the slide rule he had been using for currency conversions. 'Your Mark V Computer can carry out.any routine mathematical operation involving up to ten digits. However, for our work we are interested in letters, not numbers. As we wish you to modify the output circuits, the machine will be printing words, not columns of figures.'
'I don't quite understand...'
'This is a project on which we have been working for the last three centuries - since the lamasery was founded, in fact. It is somewhat alien to your way of thought, so 1 hope you will listen with an open mind while 1 explain it
'Naturally:
'It is really quite simple. We have been compiling a list which shall contain all the possible names of God
'I beg your pardon?'

Page 16

'We have reason to believe/ continued the lama imper­turbably, 'that all such names can be written with not more than nine letters in an alphabet we have devised.'
'And you have been doing this for three"centuries?'
'Yes: we expected it would take us about fifteen thousand years to complete the task.'
'Oh,' Dr Wagner looked a little dazed. 'Now I see why you wanted to hire one of our machines. But what exactly is the purpose of this project?'
The lama hesitated for a fraction of a second, and Wagner wondered if he had offended him. If so, there was no trace of annoyance in the reply.
'Call it ritual, if you like, but it's a fundamental part of our belief. All the many names of the Supreme Being - God,
Jehova, Allah: and so on - they are only man-made labels. There is a philosophical problem of some difficulty here, which I do not propose to discuss, but somewhere among all the possible combinations of letters that can occur are what one may call the real names of God? By systematic per­mutation of letters, we have been trying to list them all.'
'I see. You've been starting at AAAAAAA . . . and work­ing up to ZZZZZZZZ . . .'

 

 

INTO THE COMET

Page 68

"Pickett's fingers danced over the beads, sliding them up and down the wires with lightning speed. There were twelve wires in all, so that the abacus could handle numbers up to 999,999,999,999 - or could be divided into separate sections where several ndependent calculations could be carried out simultaneously."

 

 

RAMAH II

Arthur C. Clarke & Gentry Lee 1989

Page 9

"Again humanity looked outward, toward the stars, and the deep philosophical questions raised by the first Rama were again debated by the populace on Earth. As the new visitor drew nearer and its physical characteristics were more carefully resolved by the host of sensors aimed in its direction, it was confirmed that this alien spacecraft, at least from the outside, was identical to its predecessor. Rama had returned. Mankind had a second appointment with destiny."

Page 178 (number omitted)

"Cosmonaut Wakefield is remarkably well adjusted"

"Wakefield knew more than any member of the faculty..."

"Wakefield exhibits none of the anti social behaviour..."

"...Wakefield and rubbed her eyes."

 

Page179

"the Wakefield dossier"

"and Wakefield"

"Wakefield"

Page 180

"Wakefield's intelligence rating..."

"So what about Wakefield ? she asked herself "

"She resolved to talk to Wakefield."

Enlisting Wakefield for support"

Page 182

" '"It is time to sleep in Rama,' she intoned. She looked up and around her. The lights in this amazing world came on unexpectedly about nine hours ago, showing us in more detail the elaborate handiwork of our intelligent cousins from across the stars.' "

Page

"Did God make the colours?."

" "You know,' he said at length to Cosmonauts Wakefield and. . . "

Page 184

"Wakefield was engrossed"

"But all nine sections are not absolutely the same

"...Wakefield, standing up with a satisfied smile"

 

Page 433

The Voice of Michael

"Under the word 'Rama', the general found a host of different references in the concordance. The one that he was looking for was the only one marked in a bold font. That specific reference was the saint's famous 'Rama sermon' , delivered in camp to a group of five thousand of Michael's neophytes three weeks before the holocaust in Rome. O'Toole began to read.
'As the topic for my talk to you today, I am going to address an issue raised by Sister Judy in our council, namely, what is the basis for my statement that the extraterrestrial spacecraft called Rama might well have been the first announcement of the second coming of Christ. Understand that at this point I have had no clear revelation one way or the other; God has, however, suggested to me that the heralds of Christ's next coming will have to be extraordinary or the people on Earth will not notice. A simple angel or two blowing trumpets in the heavens won't suffice. The heralds must do things that are truly spectacular to engage attention.
'There is a precedent, established in the old testament prophecies foretelling the coming of Jesus, of prophetic announcements originating in the heavens. Elijah's chariot was the Rama of its time. It was, technologically speaking, as much beyond the understanding of its observers as Rama is today. In that sense there is a certain conforming pattern, a symmetry that' is not inconsistent with God's order.
'But what I think is most hopeful about the arrival of the first Rama spacecraft eight years ago - and I say 'first' because I am certain there will be others - is that it forces hurnanity to think of itself in an extraterrestrial perspective. Too often we limit our concept of God and, by implication, our own spirituality . We belong to the universe. We are its children. It's just pure chance that our atoms have risen to consciousness here on this particular planet.
'Rama forces us to think of ourselves, and God, as beings of the universe. It is a tribute to His intelligence / Page 434 / that He has sent such a herald at this moment. For as I have told you many times, we are overdue for our final evolution, our recognition that the entire human race is but a single organism. The appearance of Rama is another signal that it is time for us to change our ways and begin that final evolution. '
General O'Toole put down the template and rubbed his eyes. He had read the sermon before, just before his meeting with the pope in Rome in fact, but somehow it had not seemed as significant then as it did now. So which are you, Rama? he thought. A threat to Courtney Bothwell or a herald of Christ's second coming?
During the hour before breakfast General O'Toole was still vacillating. He genuinely did not know what his decision would be. Weighing heavily upon him was the fact that he had been given an explicit order by his commanding officer. O'Toole was well aware that he had sworn, when he had received his commission, not only to follow orders, but also to protect the Courtney Bothwells of the planet. Did he have any evidence that this particular order was so immoral that he should violate his oath?
As long as he thought of Rama only as a machine, it was not too difficult for General O'Toole to countenance its destruction. His action would not, after all, kill any Ramans. But what was it that Wakefield had said? That the Raman spaceship was probably more intelligent than any living creature on Earth, including human beings? And shouldn't superior machine intelligence have a special place among God's creations, perhaps even above lower life forms?
Eventually General O'Toole succumbed to fatigue. He simply had no energy left to deal with the unending stream of questions without answers. He reluctantly decided to cease his internal debate and prepared to implement his orders.
His first action was again to memorise his RQ code, a specific string of SO integers between 0 and 9 that was known only by him and the processors inside the nuclear / Page 435 / weapons. O'Toole had personally entered his code and checked that it had been properly stored in each of the weapons before the Newton mission had been launched from Earth. The string of digits was long to minimise the probability of its being duplicated by a repetitive, electronic search routine. Each of the Newton military officers had been counselled to derive a sequence that met two criteria: the code should be almost impossible to forget and should not be something straightforward, like all the phone numbers in the family, that an outside party might work out easily from the personnel files.
For sentimental reasons, O'Toole had wanted nine of the numbers in his code to be his birthdate, 3-29-42, and the birthdate of his wife, 2-7-46. He knew that any decryption specialist would immediately look for such obvious selections, so the general resolved to hide the birthdates in the fifty digits. But what about the other forty-one? That particular number, forty-one, had intrigued O'Toole ever since a beer and pizza party during his sophomore year at MIT. One of his associates then, a brilliant young number theorist whose name he had long since forgonen, had told O'Toole in the middle of a drunken discussion that 41 was a 'very special number, the initial integer in the longest continuous string of quadratic primes' .
O'Toole never fully comprehended what exactly was meant by the expression 'quadratic prime'. However, he did understand, and was fascinated by, the fact that the string 41, 43, 47, 53, 61, 71, 83, 97, where each successive number was computed by increasing the difference from the previous number by two, resulted in exactly forty consecutive prime numbers. The sequence of primes ended only when the forty-first number in the string turned out to be a non-prime, namely 41 x 41 + 1681. O'Toole had shared this little-known piece of information only once in his life, with his wife Kathleen on her forty-first birthday, and he had received such a lacklustre response that he had never told anybody about it again.
But it was perfect for his secret code, particularly if he / Page 436 / disguised it properly. To build his fifty-digit number, General O'Toole first constructed a sequence of forty-one digits, each coming from the sum of the first two digits in the corresponding term in the special quadratic prime sequence beginning with 41. Thus '5' was the initial digit, representing 41, followed by '7' for 43, '1' for 47 (4 + 7 + 11 and then truncate), '8' for 53, etc. O'Toole next scattered the numbers of the two birthdates using an inverse Fibonacci sequence (34,21, 13,8, 5, 3,2, 1, 1) to define the locations of the nine birthday integers in the original forty-one digit string.
It was not easy to commit the sequence to memory, but the general did not want to write it down and carry it with him to the activation process. If his code was written down, then anyone could use it, with or without his permission, and his option to change his mind again would be precluded. Once he had memorised the sequence, O'Toole destroyed all his computations and went to the dining room to have breakfast with the rest of the cosmonauts."

 

 

...

 

-
ALL IS NUMBER
-
-
-
3
ALL
25
7
7
2
IS
28
10
1
6
NUMBER
73
28
1
11
ALL IS NUMBER
126
45
9
1+1
-
1+2+6
4+5
-
2
ALL IS NUMBER
9
9
9

 

EUREKAAKERUE

 

10
PRIME NUMBERS
-
-
-
5
P+R+I+M+E
61
34
7
7
N+U+M+B+E+R+S
92
38
2
12
PRIME NUMBERS
153
72
9
1+2
-
1+5+3
7+2
-
3
PRIME NUMBERS
9
9
9

 

 

12
PRIME NUMBERS
153
72
9
3
ZERO
64
28
1

 

ATEN

A

TEN

 

GOD WITH US AND US WITH GOD

 

3
GOD
26
17
8
4
WITH
60
24
6
2
US
40
4
4
9
Add to Reduce
126
45
18
-
Reduce to Deduce
1+2+6
4+5
1+8
9
Essence of Number
9
9
9

 

 

-
9
G
O
D
-
W
I
T
H
-
U
S
-
-
-
-
-
--
-
-
24
-
-
6
-
-
-
9
-
8
-
-
1
+
=
24
2+4
=
6
=
6
51
-
-
15
-
-
-
9
-
8
-
-
19
+
=
51
5+1
=
6
=
6
-
9
G
O
D
-
W
I
T
H
-
U
S
-
-
-
-
-
-
-
-
21
-
7
-
4
-
5
-
2
-
-
3
-
+
=
21
2+1
=
3
=
3
75
-
7
-
4
-
23
-
20
-
-`
21
-
+
=
75
7+5
=
12
1+2
3
-
9
G
O
D
-
W
I
T
H
-
U
S
-
-
-
-
-
--
-
-
126
-
7
15
4
-
23
9
20
8
-
21
19
+
=
126
1+2+6
=
9
-
9
45
-
7
6
4
-
5
9
2
8
-
3
1
+
=
45
4+5
=
9
-
9
-
9
G
O
D
-
W
I
T
H
-
U
S
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
6
--
-
6
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
7
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
9
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
45
9
G
O
D
-
W
I
T
H
-
U
S
-
-
45
-
-
9
-
45
4+5
-
-
-
-
-
-
9
-
-
-
-
-
-
-
4+5
-
-
-
-
4+5
9
9
G
O
D
-
W
I
T
H
-
U
S
-
-
9
-
-
9
-
9
-
-
7
6
4
-
5
9
2
8
-
3
1
-
-
-
-
-
-
-
-
9
9
G
O
D
-
W
I
T
H
-
U
S
-
-
9
-
-
9
-
9

 

 

-
9
G
O
D
W
I
T
H
S
-
-
-
-
-
--
-
-
24
-
-
6
-
-
9
-
8
-
1
+
=
24
2+4
=
6
=
6
51
-
-
15
-
-
9
-
8
-
19
+
=
51
5+1
=
6
=
6
-
9
G
O
D
W
I
T
H
U
S
-
-
-
-
-
-
-
-
21
-
7
-
4
5
-
2
-
3
-
+
=
21
2+1
=
3
=
3
75
-
7
-
4
23
-
20
-
21
-
+
=
75
7+5
=
12
1+2
3
-
9
G
O
D
W
I
T
H
U
S
-
-
-
-
-
--
-
-
126
-
7
15
4
23
9
20
8
21
19
+
=
126
1+2+6
=
9
-
9
45
-
7
6
4
5
9
2
8
3
1
+
=
45
4+5
=
9
-
9
-
9
G
O
D
W
I
T
H
U
S
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
-
5
-
-
-
-
-
-
-
5
occurs
x
1
=
5
6
--
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
8
-
-
-
-
-
-
-
8
-
-
-
-
8
occurs
x
1
=
8
9
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
45
9
G
O
D
W
I
T
H
U
S
-
-
45
-
-
9
-
45
4+5
-
-
-
-
-
9
-
-
-
-
-
-
4+5
-
-
-
-
4+5
9
9
G
O
D
W
I
T
H
U
S
-
-
9
-
-
9
-
9
-
-
7
6
4
5
9
2
8
3
1
-
-
-
-
-
-
-
-
9
9
G
O
D
W
I
T
H
U
S
-
-
9
-
-
9
-
9

 

 

"The virgin will conceive and give birth to a son, and they will call him Immanuel" (which means "God with us"). “Behold, the virgin shall conceive and bear a son, and they shall call his name Immanuel” (which means, God with us).

Matthew 1:23 "The virgin will conceive and give birth to a ...

biblehub.com/matthew/1-23.htm

 

 

The Meaning of Immanuel, God with Us

www.orlutheran.com/html/immanuel.html

And this very special Christmas name, as Matthew tells us, means "God with us." Jesus Christ is Immanuel, "God with us," and I'd like to share why this is so ...

Matthew 1:23 "The virgin will conceive and give birth to a ...

matthew/1-23.
“Behold, the virgin shall conceive and bear a son, and they shall call his name Immanuel” (which means, God with us). New American Standard Bible "BEHOLD ...

 

 

Christ Emmanuel or God with Us - Grace Gems!

www.gracegems.org/W/e1.htm

"They shall call His name Emmanuel, which being interpreted is, God with us. ... give birth to a son, and they will call him Immanuel– which means, 'God with us.

 

 

Isaiah 7:14 Explained - Immanuel God With Us

www.bibleanswerstand.org/immanuel.htm

This study is aimed at finding the true meaning of Immanuel in Isaiah 7:14. ... texts for the deity of Jesus Christ because of the words, “Immanuel,” (God with us).

 

 

Why wasn't Jesus named Immanuel? - GotQuestions.org

www.gotquestions.org/Immanuel-Jesus.html

by S. Michael Houdmann - Jesus was God making His dwelling among us (John 1:1,14). No, Jesus' name was not Immanuel, but Jesus was the meaning of Immanuel, "God with us.

 

Words Around "Emmanuel" in the English Dictionary

"The word Immanuel/Emmanuel means, "God with us." It conveys the idea of God come down in the flesh, mingling alongside mankind, subject to their brutality, while extending his love in bringing their redemption."

 

GOD WITH US AND US WITH GOD

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
8
-
W
=
5
-
4
WITH
60
24
6
-
-
-
-
-
-
6
-
-
-
U
=
3
-
2
US
40
4
4
-
-
-
-
4
-
-
-
-
-
-
-
1+5
-
9
Add to Reduce
126
45
18
-
1
2
3
4
5
6
7
8
9
-
-
6
-
-
Reduce to Deduce
1+2+6
4+5
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
Essence of Number
9
9
9
-
1
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
GOD WITH US
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
D
=
4
-
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
W
=
5
-
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
-
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
-
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
45
-
9
GOD WITH US
126
54
45
-
1
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
1+2+6
5+4
4+5
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
GOD WITH US
9
9
9
-
3
-
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
GOD WITH US
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
5
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
7
-
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
D
=
7
-
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
W
=
5
-
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
O
=
3
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
G
=
5
-
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
5
-
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
3
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
45
-
9
GOD WITH US
126
54
45
-
1
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
1+2+6
5+4
4+5
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
GOD WITH US
9
9
9
-
3
-
3
4
5
6
7
8
9

 

GOD WITH US 123456789 987654321 US WITH GOD

 

 

4
GODS
45
18
9
1
I
9
9
9
5
VOICE
54
27
9
10
Add to Reduce
108
54
27
1+0
Reduce to Deduce
1+0+8
5+4
2+7
1
Essence of Number
9
9
9

 

 

 

THE SCULPTURE OF VIBRATIONS 1971

 

 
 
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