THE KORAN
Everyman
Translated from the Arabic by
J. M. Rodwell
1909
INTRODUCTION
Page xxiii
"In addition Sura
18 includes two stories from the Christian periphery to the
north of Arabia; the so-called legend of the
Seven Sleepers"
NOTES
Page
460
2 The valley, or mountain, in which the
Cave of the Seven Sleepers was
situated. See Gibbon's Decline and Fall, ch. xxxiii., especially the
concluding sentences.
3 Because they slept with their eyes open. Beidh.
4 Muslims believe that this dog will be admitted into Paradise. One
of its traditional names is Katmir, a word whose letters, it should
be observed, are with one exception identical with Rakim.
Page 189 (number omitted)
SURA 18 - THE CAVE
MECCA - 110 VERSES
In the Name of God, the Compassionate,
the Merciful
"Praise be to God, who hath sent down the Book to his servant,
and hath not made it tortuous1
But direct; that it may warn of a grievous woe from him, and announce
to the faithful who do the things that are right, that a goodly
reward, wherein they shall abide for ever, awaiteth them;
And that it may warn those who say, 'God hath begotten a Son.'
No knowledge of this have either they or their fathers! A grievous
saying to come out of their mouths! They speak no other than a lie!
And haply, if they believe not in this new revelation, thou wilt
slay thyself, on their very footsteps, out of vexation.
Verily, we have made all that is on earth as its adornment, that
we might make trial who among mankind would excel in works:
But we are surely about to reduce all that is thereon to dust! Hast
thou reflected that the Inmates of THE CAVE and of Al
Rakim2 were one of our wondrous signs?
When the youths betook them to the cave they said, 'O our Lord!
grant us mercy from before thee, and order for us our affair aright.'
10 Then struck we upon their ears with deafness in the cave
for many a year:
Then we awaked them that we might know which of the two parties
could best reckon the space of their abiding.
We will relate to thee their tale with truth. They were youths who
had believed in their Lord, and in guidance had we increased them;
And we had made them stout of heart, when they stood up and said,
'Our Lord is Lord of the Heavens and of the Earth: we will call
on no other God than him; for in that case we had said a thing outrageous.
These our people have taken other gods beside Him, though / Page
190 / they bring no clear proof for them; but, who more iniquitous
than he who forgeth a lie of God?
So when ye shall have separated you from them and from that which
they worship beside God, then betake you to the cave: Your Lord
will unfold his mercy to you, and will order your affairs for you
for the best.'
And thou mightest have seen the sun when it arose, pass on the right
of their cave, and when it set, leave them on the left, while they
were in its spacious chamber. This is one of the signs of God. Guided
indeed is he whom God guideth; but for him whom He misleadeth, thou
shalt by no means find a patron, director.
And thou wouldst have deemed them awake,3 though
they were sleeping: and we turned them to the right and to the left.
And in the entry lay their dog with paws outstretched.4
Hadst thou come suddenly upon them, thou wouldst surely have turned
thy back on them in flight, and have been filled with fear at them.
So we awaked them that they might question one another. Said one
of them, 'How long have ye tarried here?' They said, 'We have tarried
a day or part of a day.' They said, 'Your Lord knoweth best how
long ye have tarried: Send now one of you with this your coin into
the city, and let his mark who therein hath purest food, and from
him let him bring you a supply: and let him be courteous, and not
discover you to anyone.
For they, if they find you out, will stone you or turn you back
to their faith, and in that case it will fare ill with you for ever.'
20 And thus made we their adventure known to their fellow citizens,
that they might learn that the promise of God is true, and that
as to 'the Hour' there is no doubt of its coming. When they
disputed among themselves concerning what had befallen them, some
said, 'Build a building over them; their Lord knoweth best about
them.' Those who prevailed in the matter said, 'A place of worship
will we surely raise over them.'
Some say, 'They were three; their dog the fourth:'
others say, 'Five; their dog the sixth,' guessing
at the secret: others say, 'Seven; and their dog the
eighth.' SAY: My Lord best knoweth the number:
none, save a few, shall know them.
Therefore be clear in thy discussions about them,5 and
ask not any Christian concerning them.
Say not thou of a thing, 'I will surely do it to-morrow;'
/ Page 191 / without, 'If God will.,6 And when thou hast
forgotten, call thy Lord to mind; and say, 'Haply my Lord will guide
me, that I may come near to the truth of this story with
correctness.'
And they tarried in their cave 300 years, and 9
years over.7
SAY: God best knoweth how long
they tarried: With Him are
the secrets of the Heavens and of the Earth: Look thou and hearken
unto Him alone8 Man hath no guardian but Him, and none
may bear part in his judgments:-
And publish what hath been revealed to thee of the Book of thy Lord
- none may change his words, - and thou shalt find no refuge beside
Him.
Be patient with those who call upon their Lord at morn and even,
seeking his face: and let not thine eyes be turned away from them
in quest of the pomp of this life;9 neither obey him
10 whose heart we have made careless of the remembrance
of Us, and who followeth his own lusts, and whose ways are unbridled.
And SAY: the truth is from your Lord: let him then who will,
believe; and let him who will, be an infidel. But for the offenders
we have got ready the fire whose smoke shall enwrap them: and if
they implore help, helped shall they be with water like molten brass
which shall scald their faces. Wretched the drink! and an unhappy
couch!
But as to those who have believed and done the things that are right,
- Verily we will not suffer the reward of him whose works were good,
to perish!
30 For them, the gardens of Eden, under whose shades shall rivers
flow: decked shall they be therein with bracelets of gold, and green
robes of silk and rich brocade shall they wear, reclining them therein
on thrones. Blissful the reward! and a pleasant couch! 11
And set forth to them as a parable two men; on one of whom we bestowed
two gardens of grape vines, and surrounded both with palm-trees,
and placed corn fields between them: Each of the gardens did yield
its fruit, and failed not thereof at all:
And we caused a river to flow in their midst: And this man received
his fruit, and said, disputing with him, to his com- panion, 'More
have I than thou of wealth, and my family is mightier.'
And he went into his garden - to his own soul unjust. He said, 'I
do not think that this will ever perish:
Page 192
And I do not think that "the Hour"
will come: and even if I be taken back to my Lord, I shall surely
find a better than it in exchange.'
His fellow said to him, disputing with him, 'What! hast thou no belief
in him who created thee of the dust, then of the germs of life,12
then fashioned thee a perfect man?
But God is my Lord; and no other being will I associate with my Lord.
And why didst thou not say when thou enteredst thy garden, 'What God
willeth! There is no power but in God.' Though thou seest that I have
less than thou of wealth and children,
Yet haply my Lord may bestow on me better than thy garden, and may
send his bolts upon it out of Heaven, so that the next dawn shall
find it barren dust;
Or its water become deep sunk, so that thou art unable to find it.'
40 And his fruits were encompassed by destruction. Then began
he to turn down the palms of his hands at what he had spent on it;
for its vines were falling down on their trellises, and he said, 'Oh
that I had not joined any other god to my Lord!'
And he had no host to help him instead of God, neither was he able
to help himself.
Protection in such a case is of God - the Truth: He is the best
rewarder, and He bringeth to the best issue.
And set before them a similitude of the present life. It is as water
which we send down from Heaven, and the herb of the Earth is mingled
with it, and on the morrow it becometh dry stubble which the winds
scatter: for God hath power over all things.
Wealth and children are the adornment of this present life: but good
works, which are lasting, are better in the sight of thy Lord as to
recompense, and better as to hope.
And call to mind the day when we will cause the mountains to
pass away, 13 and thou shalt see the earth a levelled
plain, and we will gather mankind together, and not 1eave of
them any one.
And they shall be set before thy Lord in ranks: - 'Now are ye come
unto us as we created you at first: but ye thought that we should
not make good to you the promise.'
And each shall have his book put into his hand: and thou
shalt see the wicked in alarm at that which is therein: and they /
Page 193 / shall say, 'O woe to us! what meaneth this Book? It
leaveth neither small nor great unnoted down!' And they shall find
all that they have wrought present to them, and thy Lord will not
deal unjustly with anyone.
When we said to the angels, 'Prostrate yourselves before Adam,' they
all prostrated them save Eblis, who was of the Djinn,14
and revolted from his Lord's behest. - What! will ye then take him
and his offspring as patrons rather than Me? and they your
enemies? Sad exchange for the ungodly!
I made them not witnesses of the creation of the Heavens and of the
Earth, nor of their own creation, neither did I take seducers as my
helpers.
5O On a certain day, God shall say, 'Call ye on the companions
ye joined with me, deeming them to be gods:' and they shall
call on them, but they shall not answer them: then will we place a
valley of perdition between them:
And the wicked shall see the fire, and shall have a foreboding that
they shall be flung into it, and they shall find no escape from it.
And now in this Koran we have presented to man similitudes of every
kind: but, at most things is man a caviller.
And what, now that guidance is come to them, letteth men from believing
and from asking forgiveness of their Lord - unless they wait till
that the doom of the ancients overtake them, or the chastisement come
upon them in the sight of the universe?
We send not our Sent Ones but to announce and
to warn: but the infidels cavil with vain words in order to
refute the truth; and they treat my signs and their own warnings with
scorn.
But who is worse than he who when told of the signs of his - Lord
turneth him away and forgetteth what in time past his hands have wrought?
Truly we have thrown veils over their hearts lest they should understand
this Koran, and into their ears a heaviness:
And if thou bid them to 'the guidance' yet will they not even then
be guided ever.
The gracious one, full of compassion, is thy Lord! if he would have
chastised them for their demerits he would have hastened their chastisement.
But they have a time fixed for the accomp-lishment of our menaces:
and beside God they shall find no refuge.
Page194
And those cities did we destroy when
they became impious; and of their coming destruction we gave
them warning.
Remember when Moses said to his servant, 'I will not stop till
I reach the confluence of the two seas,15 or
for years will I journey on.'
60 But when they reached their confluence, they forgot their fish,
and it took its way in the sea at will.
And when they had passed on, said Moses to his servant, 'Bring us
our morning meal; for now have we incurred weariness from this journey.'
He said, 'What thinkest thou? When we repaired to the rock for rest
I forgot the fish; and none but Satan made me forget it, so as not
to mention it; and it hath taken its way in the sea in a wondrous
sort.'
He said, 'It is this we were in quest Of.,16
And they both went back retracing their footsteps.
Then found they one of our servants to whom we had vouchsafed our
mercy, and whom we had instructed with our knowledge.
And Moses said to him, 'Shall I follow thee that thou teach me, for
guidance, of that which thou too hast been taught?'
He said, 'Verily, thou canst not have patience with me; How canst
thou be patient in matters whose meaning thou
comprehendest not?'
He said, 'Thou shalt find me patient if God please, nor will I disobey
thy bidding.'
He said, 'Then, if thou follow me, ask me not of aught until I have
given thee an account thereof.'
70 So they both went on, till they embarked in a ship, and he - the
unknown - staved it in. 'What!' said Moses, 'hast thou staved
it
in that thou mayest drown its crew? a strange thing now hast thou
done!'
He said, 'Did I not tell thee that thou couldst not have patience
with me?'
He said, 'Chide me not that I forgat, nor lay on me a hard command.'
Then went they on till they met a youth, and he slew him. Said Moses,
'Hast thou slain him who is free from guilt of blood? Now hast thou
wrought a grievous thing!'
He said, 'Did I not tell thee that thou couldst not have patience
with me?'
Page 195
Moses said, 'If after this I ask thee aught, then let
me be thy comrade no longer; but now hast thou my excuse.'
They went on till they came to the people of a city. Of this people
they asked food, but they refused them for guests. And they found
in it a wall that was about to fall, and he set it upright. Said Moses,
'If thou hadst wished, for this thou mightest have obtained pay.'
He said, 'This is the parting point between me and thee. But I will
first tell thee the meaning of that which thou couldst not await with
patience.
As to the vessel, it belonged to poor men who toiled upon the. sea,
and I was minded to damage it, for in their rear was a king who seized
every ship by force.
As to the youth his parents were believers, and we feared lest he
should trouble them by error and infidelity.
80 And we desired that their Lord might give them in his place a child,
better than he in virtue, and nearer to filial piety.
And as to the wall, it belonged to two orphan youths in the ,- city,
and beneath it was their treasure: and their father was a righteous
man: and thy Lord desired that they should reach the .. age of strength,
and take forth their treasure through the mercy of thy Lord. And not
of mine own will have I done this. This is the interpretation of that
which thou couldst not bear with patience.'
They will ask thee of Dhoulkarnain [the two-horned17].
SAY: I will recite to you an account of him.
We stablished his power upon the earth, and made for
him a way to everything. And a route he followed,
Until when he reached the setting of the sun, he found it to set in
a miry fount; and hard by he found a people.
We said, 'O Dhoulkarnain! either chastise or treat them generously.'
'The impious,' said he, 'will we surely chastise;' then shall he be
taken back to his Lord, and he will chastise him with a grievous chastisement.
-"
But as to him who believeth and doeth that which is right, he shall
have a generous recompense, and we will lay on them our easy behests.
Then followed he a route
Until when he reached the rising of the sun he found it to rise on
a people to whom we had given no shelter from it.
Page196
Thus it was. And we had full
knowledge of the forces that were with him.
Then followed he a route.
Until he came between the two mountains, beneath which he found
a people who scarce understood a language.
They said, 'O Dhoulkarnain! verily, Gog and Magog18
waste this land; shall we then pay thee tribute, so thou build a
rampart19 between us and them?'
He said, 'Better than your tribute is the might wherewith
my Lord hath strengthened me; but help me strenuously, and I will
set a barrier between you and them.
Bring me blocks of iron,' - until when it filled the space between
the mountain sides - 'Ply,' said he, 'your bellows,'- until when
he had made it red with heat (fire), he said, - 'Bring me molten
brass that I may pour upon it.'
And Gog and Magog were not able to scale it, neither were they able
to dig through it.
'This,' said he, 'is a mercy from my Lord:
But when the promise of my Lord shall come to pass, he will turn
it to dust; and the promise of my Lord is true.'
On that day we will let them dash like billows one over another;
and there shall be a blast on the trumpet, and we will gather them
together in a body.
100 And we will set Hell on that day close before the infidels,
Whose eyes were veiled from my warning, and who had no power to
hear.
What! do the infidels think that they can,take my servants as their
patrons, beside Me? Verily, we have got Hell ready as the abode
of the infidels.
SAY: Shall we tell you who they are that have lost their
labour most?
Whose aim in the present life hath been mistaken, and who deem that
what they do is right?
They are those who believe not in the signs of the Lord, or
that they shall ever meet him. Vain, therefore, are their works;
and no weight will we allow them on the day of resurrection.
This shall be their reward - Hell.2O
Because they were unbelievers, and treated my signs and my Apostles
with scorn.
But as for those who believe and do the things that are right, they
shall have the gardens of Paradise21 for their abode:
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They shall remain therein for ever: they shall wish
for no change from it.
SAY: Should the sea become ink, to write the words of my
Lord, the sea would surely fail ere the words of my Lord would fail,
though we brought its like in aid.
110 SAY: In sooth I am only a man like you. It hath been
revealed to me that your God is one only God: let him then who hopeth
to meet his Lord work a righteous work: nor let him give any other
creature a share in the worship of his Lord."
| 1 |
I |
9 |
9 |
9 |
| 2 |
ME |
18 |
9 |
9 |
| 3 |
SAY |
45 |
9 |
9 |
| 9 |
SUSTAINER |
126 |
36 |
9 |
| 9 |
EL
SHADDAI |
63 |
36 |
9 |
SURA 19 - MARY
MECCA - 98 VERSES
In the Name of God, the Compassionate, the Merciful
"Kaf. Ha. Ya. Ain. Sad! A recital
of thy Lord's mercy to his servant Zachariah;
When he called upon his Lord with secret calling,
- And said: 'O Lord, verily my bones are weakened, and the hoar hairs
glisten on my head,
And never, Lord, have I prayed to thee with ill success.
But now I have fears for my kindred after me;] and my wife is barren:
Give me, then, a successor as thy special gift, who shall be my heir
and an heir of the family of Jacob: and make him, Lord, well pleasing
to thee.'
'O Zachariah! verily we announce to thee a son, - his name John:
That name We have given to none before him.4
He said: 'O my Lord! how when my wife is barren shall I have a son,
and when I have now reached old age, failing in my powers?'
10 He said: So shall it be. Thy Lord hath said, Easy is this to me,
for I created thee aforetime when thou wast nothing.'
He said: 'Vouchsafe me, O my Lord! a sign.' He said: 'Thy sign shall
be that for three nights, though sound in health, thou speakest not
to man.'
Page198
And he came forth from the sanctuary to his people, and made signs
to them to sing praises morn and even.
We said:.'O John! receive the Book with purpose of heart:'5-
and We bestowed on him wisdom while yet a child;
And mercifulness from Ourself, and purity; and pious was he, and duteous
to his parents; and not proud, rebellious.
And peace was on him on the day he was born, and the dayof his death,
and shall be on the day when he shall be raised to life!
And make mention in the Book, of Mary, when she went apart from her
family, eastward,6
And took a veil to shroud herself from them: and we sent our
spirit7 to her, and he took before
her the form of a perfect man.8
She said: 'I fly for refuge from thee to the God of Mercy! If thou
fearest Him, begone from me.'
He said: 'I am only a messenger of thy Lord, that I may bestow on
thee a holy son.'
20 She said: 'How shall I have a son, when man hath never touched
me? and I am not unchaste.'
He said: 'So shall it be. Thy Lord hath said: "Easy is this with
me;" and we will make him a sign to mankind, and a mercy from
us. For it is a thing decreed.'
And she conceived him,9 and retired
with him to a far-off place.
And the throes came upon her10 by
the trunk of a palm. She said: 'Oh, would that I had died ere this,
and been a thing forgotten, forgotten quite!'
And one cried to her from below her: 11
'Grieve not thou, thy Lord hath provided a streamlet at thy feet:-
And shake the trunk of the palm-tree towards thee: 12
it will drop fresh ripe dates upon thee.
Eat then and drink, and be of cheerful eye: 13
and shouldst thou see a man,
Say, - Verily, I have vowed abstinence to the God of mercy.-
To no one will I speak this day.'
Then came she with the babe to her people, bearing him. They said,
'O Mary! now hast thou done a strange thing!
O sister of Aaron!14 Thy father was
not a man of wicked-ness, nor unchaste thy mother.'
3O And she made a sign to them, pointing towards the babe.
They said, 'How shall we speak with him who is in the cradle, an infant?'
Page 199
It said,15
'Verily, I am the servant of God; He hath given me the Book, and He
hath made me a prophet;
And He hath made me blessed wherever I may be, and hath enjoined me
prayer and almsgiving so long as I shall live;
And to be duteous to her that bare me: and he hath not made me proud,
depraved.
And the peace of God was on me the day I was born, and will be the
day I shall die, and the day I shall be raised to life.'
This is Jesus, the son of Mary; this is a statement of the truth concerning
which they doubt.
It beseemeth not God to beget a son. Glory be to Him! when he decreeth
a thing, He only saith to it, Be, and it Is.
And verily, God is my Lord and your Lord; adore Him then. This is
the right way.
But the Sects have fallen to variance among themselves about Jesus:
but woe, because of the assembly of a great day, to those who believe
not! .
Make them hear, make them behold the day when they shall come before
us! But the offenders this day are in a manifest error.
40 Warn them of the day of sighing when the decree shall be accomplished,
while they are sunk in heedlessness and while they believe
not.
Verily, we will inherit the earth and all who are upon it. To us shall
they be brought back.
Make mention also in the Book of Abraham; for he was a man of truth,
a Prophet.16
When he said to his Father, 'O my Father! why dost thou worship that
which neither seeth nor heareth, nor profiteth thee aught?
O my Father! verily now hath knowledge come to me which hath not come
to thee.. Follow me therefore - I will guide thee into an even path.
O my Father! worship not Satan, for Satan is a rebel against the God
of Mercy.
O my Father! indeed I fear lest a chastisement from the God of
Mercy light upon thee, and thou become Satan's vassal.'
He said, 'Castest thou off my Gods, 0 Abraham? If thou forbear not,
I will surely stone thee. Begone from me for a length of time.'
Page 200
He said, 'Peace be on thee! I will pray
my Lord for thy forgiveness, for he is gracious to me:
But I will separate myself from you,
and the gods ye call on beside God, and on my Lord will I call. Haply,
my prayers to my Lord will not be with ill success.'
50 And when he had separated himself from them and that which
they worshipped beside God, we bestowed on him Isaac and Jacob,
and each of them we made a prophet:
And we bestowed gifts on them in our mercy, and gave them the
lofty tongue of truth.,17
And commemorate Moses in 'the Book;' for he was a man
of purity: moreover he was an Apostle, a Prophet:
From the right side of the mountain we called to him, and caused him
to draw nigh to us for secret converse:
And we bestowed on him in our mercy his brother Aaron,
a Prophet.
And commemorate Ismael in 'the Book;' for he was true to his
promise, and was an Apostle, a Prophet;
And he enjoined prayer and almsgiving on his people, and was
well pleasing to his Lord.
And commemorate Edris 18 in
'the Book;' for he was a man of truth, a Prophet:
And we uplifted him to a place on high:19
These are they among the prophets of the posterity of Adam,
and among those whom we bare with Noah, and among the posterity
of Abraham and Israel, and among those whom we have
guided and chosen, to whom God hath shewed favour. When the signs
of the God of Mercy were rehearsed to them, they bowed them
down worshipping and weeping.
60 But others have come in their place after them: they have made
an end of prayer, and have gone after their own lusts; and in the
end they shall meet with evil:-
Save those who turn and believe and do that which is right, these
shall enter the Garden, and in nought shall they be wronged:
The Garden of Eden, which the God of Mercy hath promised
to his servants, though yet unseen:20
for his promise shall come to pass:
No vain discourse shall they hear therein, but only 'Peace;'
and their food shall be given them at morn and even:
This is the Paradise which we will make the heritage of those
our servants who fear us.
Page 201
We21
come not down from Heaven but by thy Lord's command. His, whatever
is before us and whatever is behind us, and whatever is between the
two! And thy Lord is not forgetful, -
Lord of the Heavens and of the Earth, and of all that is between them!
Worship Him, then, and abide thou steadfast in his worship. Knowest
thou any other of the same name?22
Man saith: 'What! after I am dead, shall I in the end be brought forth
alive?'
Doth not man bear in mind that we made him at first, when he was nought?
And I swear by thy Lord, we will surely gather together them and the
Satans: then will we set them on their knees round Hell:
70 Then will we take forth from each band those of them who
have been stoutest in rebellion against the God of Mercy:
Then shall we know right well to whom its burning is most due:
No one is there of you who shall not go down unto ir.23
- This is a settled decree with thy Lord -
Then will we deliver those who had the fear of God, and the wicked
will we leave in it on their knees.
And when our clear signs are rehearsed to them, the infidels say to
those who believe: 'Which of the two parties24 is
in the best plight? and which is the most goodly company?'
But how many generations have we brought to ruin before them, who
surpassed them in riches and in splendour!
SAY: As to those who are in error, the God of Mercy
will lengthen out to them a length of days
Until they see that with which they are threatened, whether it be
some present chastisement, or whether it be 'the Hour,' and
they shall then know which is in the worse state, and which the more
weak in forces:
But God will increase the guidance of the already guided. And good
works which abide, are in thy Lord's sight better in respect of guerdon,
and better in the issue than all worldly good.
80 Hast thou marked him who believeth not in our signs, and saith,
'I shall surely have riches and children bestowed upon me?'
Hath he mounted up into the secrets of God? Hath he made a compact
with the God of Mercy?
Page 202
No! we will certainly write down what
he saith, and will lengthen the length of his chastisement:
And We will inherit what he spake of, and he shall come before us
all alone.
They have taken other gods beside God to be their help25
But it shall not be. Those gods will disavow their worship and will
become their enemies.
Seest thou not that we send the Satans against the Infidels to urge
them into sin?
Wherefore be not thou in haste with them;26 for a small number
of days do we number to them.
One day we will gather the God-fearing before the God of Mercy
with honours due:27
But the sinners will we drive unto Hell, like flocks driven to the
watering.
90 None shall have power to intercede, save he who hath received
permission at the hands of the God of Mercy.
They say: 'The God of Mercy hath gotten offspring.' Now have
ye done a monstrous thing!
Almost might the very Heavens be rent thereat, and the Earth cleave
asunder, and the mountains fall down in fragments,
That they ascribe a son to the God of Mercy, when it beseemeth not
the God of Mercy to beget a son!
Verily there is none in the Heavens and in the Earth but shall approach
the God of Mercy as a servant. He hath taken note of them, and numbered
them with exact numbering:
And each of them shall come to Him, on the day of Resurrection, singly:
But love will the God of Mercy vouchsafe to those who believe and
do the things that be right.
Verily we have made this Koran easy and in thine own tongue, that
thou mayest announce glad tidings by it to the God-fearing, and that
thou mayest warn the contentious by it.
How many generations have we destroyed before them! Canst thou search
out one of them? or 'canst thou hear a whisper from them?
SURA 29
Page 472 Notes 3
"The word SAY
- the usual address of God or
Gabriel to Muhammad
- must either be considered as spoken by God
to Abraham, in which
case we have a curious instance of the manner in which Muhammad
identifies himself with Abraham,
and makes Abraham speak
in words which he constantly elsewhere uses himself; or with Wahl,.
we must suppose that from v. 17 to v. 22 are misplaced"
1 |
I |
9 |
9 |
9 |
2 |
ME |
18 |
9 |
9 |
3 |
SAY |
45 |
9 |
9 |
7 |
GABRIEL |
54 |
36 |
9 |
Page 431
SURA 1
"The word Sura occurs nine
times in the Koran"
THE WORD SURA OCCUR NINE
TIMES IN THE KORAN
| 3 |
SAY |
45 |
9 |
9 |
4 |
SURA |
59 |
14 |
5 |
- |
- |
- |
- |
- |
8 |
MOHAMMED |
72 |
36 |
9 |
8 |
MUHAMMAD |
74 |
29 |
2 |
5 |
JESUS |
74 |
11 |
2 |
HOLY BIBLE
GENESIS
Scofield References
Page 26
C 17 V 1
AND WHEN ABRAM WAS
NINETY YEARS OLD AND NINE
THE
LORD
APPEARED TO ABRAM AND SAID UNTO
HIM
I
AM
THE
ALMIGHTY
GOD
WALK THOU BEFORE ME AND BE THOU PERFECT
Note (2) "Almighty
God (El Shaddai) not only enriches but makes fruitful
This is nowhere better illustrated than in the first occurrence of
the name (Gen. 17. 1-8).To a man ninety-nine
years of age, and "as good as dead" (Heb. 11. 2), He said:
I am the Almighty God [El Shaddai]"
Page 27
C17 V 24
AND ABRAHAM WAS
NINETY YEARS OLD AND NINE
WHEN HE WAS CIRCUMCISED
IN THE FLESH
OF
HIS
FORESKIN
25
AND
ISHMAEL
HIS SON WAS THIRTEEN
YEARS OLD
WHEN HE WAS CIRCUMCISED
IN THE FLESH
OF
HIS
FORESKIN
| 1 |
I |
9 |
9 |
9 |
| 2 |
ME |
18 |
9 |
9 |
| 3 |
SAY |
45 |
9 |
9 |
| 9 |
SUSTAINER |
126 |
36 |
9 |
| 9 |
EL SHADDAI |
63 |
36 |
9 |
| - |
EL |
17 |
8 |
8 |
| - |
SH |
27 |
9 |
9 |
| - |
ADD |
9 |
9 |
9 |
| - |
A |
1 |
1 |
1 |
| - |
I |
9 |
9 |
9 |
| 9 |
EL
SHADDAI |
63 |
36 |
9 |
5 |
ABRAM |
35 |
17 |
8 |
- |
AB |
3 |
3 |
3 |
- |
R |
18 |
9 |
9 |
- |
AM |
14 |
5 |
5 |
5 |
ABRAM |
35 |
17 |
8 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
7 |
ABRAHAM |
- |
- |
- |
- |
AB |
3 |
3 |
3 |
- |
R |
18 |
9 |
9 |
- |
AH |
9 |
9 |
9 |
- |
AM |
14 |
5 |
5 |
7 |
ABRAHAM |
44 |
26 |
26 |
- |
- |
4+4 |
2+6 |
2+6 |
7 |
ABRAHAM |
8 |
8 |
8 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
8 |
ABRAHAMS |
63 |
27 |
9 |
5 |
CHILD |
36 |
27 |
9 |
7 |
ISHMAEL |
67 |
31 |
4 |
- |
- |
6+7 |
3+1 |
- |
- |
- |
13 |
4 |
4 |
8 |
THIRTEEN |
99 |
45 |
9 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
6 |
BRAHMA |
43 |
25 |
7 |
7 |
ABRAHAM |
44 |
26 |
8 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
5 |
SARAI |
|
|
|
- |
S |
19 |
10 |
1 |
- |
A |
1 |
1 |
1 |
- |
R |
18 |
9 |
9 |
- |
A |
1 |
1 |
1 |
- |
I |
9 |
9 |
9 |
5 |
SARAI |
48 |
21 |
3 |
| |
|
4+8 |
2+1 |
- |
5 |
SARAI |
12 |
3 |
3 |
| |
|
1+2 |
- |
- |
5 |
SARAI |
3 |
3 |
3 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
5 |
SARAH |
- |
- |
- |
- |
S |
19 |
10 |
1 |
- |
A |
1 |
1 |
1 |
- |
R |
18 |
9 |
9 |
- |
AH |
9 |
9 |
9 |
5 |
SARAH |
47 |
29 |
20 |
| |
A |
4+7 |
2+9 |
2+0 |
5 |
SARAH |
11 |
11 |
2 |
| |
A |
1+1 |
1+1 |
- |
5 |
SARAH |
2 |
2 |
2 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
5 |
HAGAR |
- |
- |
- |
| |
HA |
9 |
9 |
9 |
| |
GA |
8 |
8 |
8 |
| |
R |
18 |
9 |
9 |
5 |
HAGAR |
35 |
26 |
8 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
5 |
ISAAC |
- |
- |
- |
- |
I |
9 |
9 |
9 |
- |
SAA |
21 |
3 |
3 |
- |
C |
3 |
3 |
3 |
5 |
ISAAC |
33 |
15 |
6 |
- |
A- |
3+3 |
1+5 |
- |
5 |
ISAAC |
6 |
6 |
6 |
THE KORAN
Everyman
Translated from the Arabic by
J. M. Rodwell
1909
Page 424
SURA 98 - CLEAR EVIDENCE
MEDINA - 8 VERSES
In the Name of God, the Compassionate, the Merciful
"The unbelievers among the people
of the Book, and the Polytheists, did not waver, until the CLEAR
EVIDENCE had come to them;
A messenger from God, reciting to them the pure pages wherein are
true Scriptures!
Neither were they to whom the Scriptures were given divided into sects,
till after this clear evidence had reached them!
Yet was not aught enjoined on them but to worship
God with sincere religion,
sound in faith; and to observe prayer and pay the stated alms. For
this is true religion.
But the unbelievers among the people of the Book, and among the Polytheists,
shall go into the fire of Gehenna to abide therein for aye. Of all
creatures are they the worst!
But they who believe and do the things that are right - these of all
creatures are the best!
Their recompense with their Lord shall be gardens of Eden, 'neath
which the rivers flow, in which they shall abide for evermore.
God is well pleased in them and lhey in Him! This, for him who feareth
his Lord."
Page 423/4
SURA 99 - THE EARTHQUAKE
MECCA - 8 VERSES
In the Name of God, the Compassionate, the Merciful
"When the Earth with her quaking shall
quake
And the Earth shall cast forth her burdens,
And man shall say, What aileth her?
On that day shall she tell out her tidings,
Because thy Lord shall have inspired her.
On that day shall
men come forward in throngs to behold their works,
And whosoever shall have wrought an atom's weight of good shall behold
it,
And whosoever shall have wrought an atom's weight of evil shall behold
it."
SURA 100 - THE CHARGERS
MECCA - 11 VERSES
In the Name of God, the Compassionate, the Merciful
"By the snorting CHARGERS!
And those that dash off sparks of fire!
And those that scour to the attack at morn!
And stir therein the dust aloft;
And cleave therein their midway through a host!
Truly, Man is to his Lord ungrateful.
And of this he is himself a witness;
And truly, he is vehement in the love of this world's good.
Ah! knoweth he not, that when that
which is in the graves shall be laid bare,
10 And that which is in men's breasts shall be brought forth,
Verily their Lord shall on that
day be informed concerning them?"
A |
B |
C |
D |
E |
F |
G |
H |
I |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
| 1+0 |
1+1 |
1+2 |
1+3 |
1+4 |
1+5 |
1+6 |
1+7 |
1+8 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
S |
T |
U |
V |
W |
X |
Y |
Z |
I |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
9 |
| 1+9 |
2+0 |
2+1 |
2+2 |
2+3 |
2+4 |
2+5 |
2+6 |
ME |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
I |
ME |
I |
ME |
I |
ME |
I |
ME |
I |
9 |
18 |
9 |
18 |
9 |
18 |
9 |
18 |
9 |
= |
1+8 |
= |
1+8 |
= |
1+8 |
= |
1+8 |
= |
= |
9 |
= |
9 |
= |
9 |
= |
9 |
= |
I |
ME |
I |
ME |
I |
ME |
I |
ME |
1 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
I |
ME |
I |
ME |
I |
ME |
I |
ME |
1 |
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 |
NAMES OF GOD 99 99 NAMESOF GOD
NUMBER
9
THE SEARCH FOR THE SIGMA CODE
Cecil Balmond
1998
Page 214 / 15
NAMING
The 99 Names of Allah
Allah The Mighty The
Independent
The Compassionate
The Forgivng The Powerful
The Merciful The Grateful
The Dominant
The King/Sovereign
The High The Giver
The Holy The Great
The Retarder
The Source of Peace
The Preserver The First
The Giver of Faith
The Protector The Last
The Overall Protector
The Reckoner The Manifest
The Strong The Sublime
The Hidden
The Almighty The Bountiful
The Governor
The Majestic The Watcher
The High Exalted
The Creator The Responsive
The Righteous
The Maker The Infinite
- The Relenting
The Fashioner The
Wise The Forgiver
The Great Forgiver
The Loving The Avenger
The Dominant The Glorious
The Compassionate
The Bestower The Resurrector
The Ruler of the Kingdom
The Provider The Witness
The Lord of Majesty and Bounty
The Opener The True
The Equitable
The All-Knowing
The Advocate The Gatherer
The Restrainer The
Most Strong The Self-Sufficient
The Extender The Firm
The Enricher
The Humbler The Patron
The Bestower
The Exalter The Praiseworthy
The Withholder
The Empowerer The
Numberer The Propitious
The Humiliator The
Commencer The Distresser
The All-Hearing The
Restorer The Light
The All-Seeing The
Giver of Life The Guide
The Judge The One
Who Gives Death The Eternal
The Just The Living
One The Everlasting
The Kindly One The
Self-Subsisting The Heir
The Gracious The Perceiver
The Guide to the Right Path
The Clement The One
The Patient
THE = 33
33 = THE
THE = 15
15 = THE
THE = 6
6 = THE
NAMES OF GOD = 99 99
= NAMES OF GOD
NUMBER
9
THE SEARCH FOR THE SIGMA
CODE
Cecil Balmond
1998
Page 221
Enjil's Mark
"The numbers 1- 9 are symbols and
exert a powerful hold on the imagination - they act as some kind of
bridge to other worlds. Because they are inviolate
and basic, they become the hidden steps to another kind of understanding,
to prophecy and divination.
In researching this book I came across the Cabalah, and the faith
it had in Numerology, which used the numbers 1- 9 to divine
a person's character. I tried the method on Enjil and got the number
5, for the Self or Life Number which is the number that describes
the essence of a character. It is also the number for magic in Numerology.
What was curious was that my first name also came to this number.
I then tried out another aspect, the Personality number, which is
given by checking the consonants in a name. The letters N J L in 'Enjil'
added up to nine. I was quite stunned and delighted. But so did the
consonants in my first name: C C L.
Was I destined to write this book? Had Enjil called me up?
Was there another level operating here, a deeper intuition, that guided
me towards Enjil?
Sometimes I think with a slight touch of fear that perhaps he was
out there waiting to come in - an idea
looking my way, hovering. Then in the yellow light of the moon, in
one night of asking strange questions, a ray enters my mind and illuminates
the path. Enjil invades. I
feel as if he has invented a new pair of eyes
in me so that I can see clearer, undoing the clutter and the learning
I carry-around like heavy baggage and I learn to count again in simple
ways, 1,2,3,
| 1 |
I |
9 |
9 |
9 |
| 2 |
ME |
18 |
9 |
9 |
| 3 |
EGO |
27 |
18 |
9 |
| 4 |
EYES |
54 |
18 |
9 |
| 10 |
CONSCIENCE |
90 |
45 |
9 |
Page 222
The Last Movement
"When I began looking into numbers I had no idea that number
nine was such fertile ground. I read the books and followed certain
well-worn explanations but could not find what I really wanted, a
picture, a dia-gram. In mathematical books, number nine remained a
mental construction. But in the primitive belief that numbers needed
shape I tried to create a physicality around the idea. Then Enjil
showed it to me, the sigma circle.
If I arranged the numbers one to nine, in a circle, suddenly everything
fell into place. I had looked through all the books I had on numbers
and searched the contents of others on bookshelves - but did not find
a graphic explanation for the special behaviour of nine. And when
I found it, there were the pictures for the other numbers as well,
one to eight the whole thing held tightly by the character of nine.
It was simple and quite beautiful.
But Enjil had come to me previously.
I was working on another puzzle, on patterns, for another book. I
was looking into how to connect up eighteen fixed points, laid out
in 3 x 6 rows, in as many ways as possible. Just as I was exhausting
the possibilities thrown up by a logical approach I thought of the
games I had played in childhood, skipping along large' stones by riverbanks,
constructing special road- ways beside the babbling water. And suddenly
a spirit sprang to life, a boy-wonder of mathematics releasing a whole
new set of patterns in my mind. Like a guardian angel, he skipped
over the stones giving an answer to the puzzle I was looking into.
That boy's / Page 223 / name was, of course, Enjil. So when I was
struggling again to find a picture and a pattern for number nine,
I thought of Enjil and invoked that spirit of invention. That is when
the answers came; the sigma circle of nine numbers, the other orbits
of the Mandalas, and the meditations of moving patterns. I drew upon
the woman Soma who lives in the moon to inspire me, for in Hindu myth
she is the essence of wisdom, the drink of the Gods, the nectar of
a divine inspiration. She is magic. And her Greek namesake, Sophia,
is also an essence, one of heavenly wisdom; who better than these
spirits to inspire Enjil and me into action?
After the Mandalas were found, looking for the movements of nine and
searching for the hidden se-quences buried deep in mathematical constructions,
became absorbing research.
Prime numbers suddenly conformed under the spell of the sigma code,
despite their unique and stand- alone indivisible nature. Nothing
I had learnt about primes had led me to believe that there was anything
to them but their oddness; yet the code opened a door to speculation
about their behaviour.
Perhaps the surface eccentricities of the distribu-tion of numbers,
as with prime numbers, have inner and deeply buried movements of order,
a gathering together of certain essences so that nothing is truly
random. Perhaps for something to appear in our world and to be tracked
by our minds, there must be some kind of hidden coherence, though
that secret would be buried deep and generally unknown to us. The
sigma code certainly points to this conjecture and makes us think
of numbers in different and new ways. The / Page 224 / sigma code
and Enjil's story give both animation to numbers and new hope.
But the Mandalas also taught me something else: that "modern"
need not mean "different", a fracture from the past. What
is interesting in the Mandalas (pages 122 and 134) is that both diagrams,
the classic centred one of symmetry and the strange skewed one, hold
the same information; one static and concentric, the other swinging
in and out, and dynamic.
From our pasts, the images of completeness we take in are symmetric;
and perfection is said to radiate outwards from a point, and what
surrounds a source is held at equal distances. That was how I constructed
the first Mandala, spaced out, evenly, around the innermost sigma
circle.
I was trapped by the static concept. I even called the diagram a Mandala,
a meditation along Eastern lines of fixed centred thinking.
But to my mind, the Strange One, a modern Mandala for today, is even
more exciting than the concentric one. The removal of symmetry lends
a particular dynamic; the contemplation is still there but it is more
informed, if anything, more focussed towards a greater concentration
on the true balance point, the cross-over of all orbits.
What we learn from these diagrams is that a modern notation is not
necessarily a break from the past. It is just a reworking of the same
information in a wholly new way, more relational than absolute. And
perhaps more accurate for that. We need not fear the apparent disjointed
and twisted surfaces of the non- symmetric, it is just another way
of looking, to my / Page 225 / mind, a
more accurate view perhaps of really what is going on around us. And
that gives me hope, some- thing to look forward to in the realm of
ideas."
| 1 |
I |
9 |
9 |
9 |
| 2 |
ME |
18 |
9 |
9 |
| 3 |
EGO |
27 |
18 |
9 |
| 4 |
EYES |
54 |
18 |
9 |
| 10 |
CONSCIENCE |
90 |
45 |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
| 3 |
SUN |
54 |
9 |
9 |
| 4 |
BALL |
27 |
9 |
9 |
| 6 |
WHEELS |
72 |
27 |
9 |
| 5 |
ROUND |
72 |
27 |
9 |
| 4 |
HOOP |
54 |
27 |
9 |
| 4 |
REAL |
36 |
18 |
9 |
| 7 |
REALITY |
90 |
36 |
9 |
| 7 |
THOUGHT |
99 |
36 |
9 |
| 6 |
DIVINE |
63 |
36 |
9 |
| 4 |
LOVE |
54 |
18 |
9 |
NAMES OF GOD = 99 99
= NAMES OF GOD
HURRAH FOF RAH FOR RAH
HURRAH
NUMBER
9
THE SEARCH FOR THE SIGMA
CODE
Cecil Balmond
1998
Page 227
Nine is the centre and binding rim
of the prayer wheel of numbers.
"And the last movement of nine never
seems to come, each revelation or discovery simply deepens the mystery.
The fascination grows. Like a spiral the shape of nine continues to
evade a simple end, winding itself further into enigma and exploration.
Enjil said that the Mandala and his quest for nine was but a reflection
on life: Who is the man or woman, he asked, who would not like to
know the hidden path that holds on to all movement? Was he not right?
In the labyrinth of appearances with
all its shouting, twists and turns, most of us become lost and bewildered.
To find our way we need a code. On the surfaces of bent experience
the straightness of our logic is not enough - there are no clues to
a deeper understanding, no whispers that we must hear to make our
inner world hold strong and have meaning.
At the heart
of the story of Enjil and the Mandalas is the simple truth, that a
secret in itself is beautiful and once that is known, then somehow
the fact gains power and multiplies. The world that grows around it
is never barren or wasted, for in every part we see the trace of the
original idea. The many that is one has always been the
greatest treasure to find.
In the eternal abstraction
of points, number 9, will always find connections. To those who know
how to look, the insights will grow.
There is no end,
as long as there are the numbers."
9
NUMBER
9
THE SEARCH FOR THE SIGMA
CODE
Cecil Balmond
1998
Page 209
"No doubt for the pure mathematician
the algebraic explanations are succinct, simple and elegant; but what
is fun is to find a graphical way of explaining these abstractions.
To most people mathematics is a taboo
area, an area they do not feel comfortable with. That is a pity, because
mathematics is beautiful; the delight being in chasing purely mental
constructs.
The strange
power of number nine may be written out in only a
few lines of algebra yet there is something more, something much more
interesting when a picture emerges from out of the abstraction.
Page 210
The sigma circle is such an invention. In one orbit
it explains the unique property of nine. And in some ways it
is more powerful than the mathematics, because the picture penetrates
deeper into the area behind our rational mind. The saying goes that
a picture says much more than words; in that sense the sigma circle
and the greater inspiration of its Mandalas speaks volumes, sharpening
our intuition beyond a number itself into patterns and characters.
Whereas mathematics describes, a picture inspires. Equations demand
our intellect, but the Mandalas demand curiosity and our poetry.
From pure mathematics we can see that nine
owes its character to the unique position it has in our decimal system.
But number nine has also travelled far beyond these computational
confines. From another route, through the mists of time and long before
the invention of our decimal system, number nine grew and developed
its own archetypes and mystery.
Vishnu took three strides to create
the universe. Three times three is potency magnified beyond
measure. That beginning of the great rebirth of the seasons, the winter
solstice, is in the ninth house of the Zodiac; and
the infant takes nine months to be born. Unaided by any mathematical
proofs number nine grew its own equations in the human imagination.
And Allah was honoured and blessed and was called by ninety nine
names.
- |
99 |
99 |
18 |
9 |
| 10 |
NAMES
OF GOD |
99 |
45 |
9 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
| 3 |
THE |
33 |
15 |
6 |
| 10 |
NINETYNINE |
129 |
57 |
3 |
| 10 |
NAMES
OF GOD |
99 |
45 |
9 |
23 |
Add to Reduce |
261 |
117 |
18 |
2+3 |
Reduce to Deduce |
2+6+1 |
1+1+7 |
1+8 |
5 |
Essence of Number |
9 |
9 |
9 |
THAT THOU THAT THOU
ART
AM
I
I
AM
THAT THOU THAT THOU
ART
THERE IS NONE OTHER
| 9 |
GOLDEN+MEAN |
90 |
45 |
9 |
6 |
GOLDEN |
57 |
30 |
3 |
4 |
MEAN |
33 |
15 |
6 |
| 9 |
GOLDEN+MEAN |
90 |
45 |
9 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
13 |
GOLDEN+SECTION |
142 |
61 |
7 |
6 |
GOLDEN |
57 |
30 |
3 |
7 |
SECTION |
85 |
31 |
4 |
13 |
GOLDEN+SECTION |
142 |
61 |
7 |
- |
A- |
- |
- |
- |
- |
A- |
- |
- |
- |
6 |
EUCLID |
54 |
27 |
9 |
- |
E |
5 |
5 |
5 |
- |
UCL |
36 |
9 |
9 |
- |
I |
9 |
9 |
9 |
- |
D |
4 |
4 |
4 |
6 |
EUCLID |
54 |
27 |
9 |
- |
- |
5+4 |
2+7 |
2+7 |
6 |
EUCLID |
9 |
9 |
9 |
Page 183
The Golden Section
The Golden
Section is special in classical art and architecture.
It is the particular ratio given by sub-dividing a line so that the
greater part is to the lesser part as the whole is to the greater
part.
(Diagram ommited)
This was said to be the proportion found
most pleasing in the rectangle and was used in the planning of the
Parthenon and numerous other architectural works.
Page 184
The golden ratio is also found in a triangle
when it is isosceles (in which the two opposite sides are equal),
but with a particular base angle.
The ratio of the long side of the triangle
to the shorter base is in the golden ratio when the base angle is
72�. This means the angle at the top vertex is 36�. Each angle of
the Golden Triangle sums to nine!
The Greeks believed that at the heart
of perfect proportion was the golden ratio and is it not pleasing
to find number nine buried in the works, to those of us who chase
its tail?
The unique property of the golden rectangle
is that if a square is taken away from it, the remaining part is a
rectangle, which has the same proportions to the original rectangle.
That means it is golden as well. The process continues, with each
removal of a square, leaving another golden rectangle. Smaller and
smaller we go and if the points of the construction are joined together
in a smooth curve, we enter a spiral, winding down into its vanishing
point, the hidden eye.
The eye of the spiral is of course the
shape of a vanishing 9."
8 |
GEOMETRY |
108 |
45 |
9 |
6 |
EUCLID |
54 |
27 |
9 |
Page 185
Geometry is
cornered around 9.
The triangle is a line that bends twice
to close on itself. enclosing en route a total of 180� in its
internal angles.
A square is a line that is more formal
in its bending around corners, enclosing each time a right angle so
that the sum of the internal angles is 4 x 90� = 360�.
A circle is a line that bends round continuously,
about a centre point, enclosing the angle of 360�.
In general, any regular polygon encloses
a total internal angle of (2n-4) right angles
where n is the number of sides of the
polygon.
For a pentagon n = 5 Sum
of internal angles = 540�
For a hexagon n = 6 Sum
of internal angles = 720�
For an octagon n = 8 Sum
of internal angles = 1080�
For a decagon n = 10
Sum of internal angles = 1440� etc.
In all cases the digits in the sum of
internal angles add up to nine or multiples of nine. In other words
for regular polygons
(sum of internal angles) = 9
Page 124
For example, the radiating arm of [2]
has the values - reading from the centre outwards -
2 - 4 6 8 1 3 5 7
Then it hits the outer boundary of nine
and travels along the circle coming back on its complement of nine,
number 7. The order is now reversed from the inside to the outside
along the radiating arm [7]
7 - 5 3 1 8 6 4 2
And so on, the symmetries and the reflections
grow.
I lose myself in wonder at the beauty
and the intricacy in which the numbers depend on each other, in secret.
On the surface one would never imagine this closed circuit of intrigue.
In the Mandala of nine, the digits have life-long partnerships,
number ONE with EIGHT, TWO with SEVEN,
THREE with SIX, FOUR with FIVE. Each
pairing has an identical shape - when its multiplication sequence
is plotted on the sigma circle, one is the reverse of the other.
Like partners in an eternal dance they
turn, their bond being the number nine which holds them together and
at the same time keeps them apart. Behind the whole revolution is
this special mark, the character that keeps secrets and takes on several
disguises - now a boundary, now a mirror, now unseen, and then taking
complete hold of another's identity. Whichever way we turn in the
circles, we find that all paths out of the labyrinth lead to 9.
Page 125
It is one grand act of conservation.
Each orbit adds up to nine, as does each radiating arm. And
in one magnificent homage, all the values of all the circles add up
to nine. Everything in this hidden cosmos of numbers comes to the
same thing, the uniqueness of 9.
Its component parts, the digits one to
eight, hold in tight confidence this secret of the first revolution
of the
MANDALA.
Hidden by all permutations of arithmetic
the numbers of the code spin quietly. In the music of the spheres
the sigma code comes together; layer upon layer; orbiting in a secret
universe. It is a revolution of numbers beyond that which any of the
Elders could imagine. Like the planets in the sky, the code revolves
in full nine orbits.
Enjil said numbers are not fixed,
but ultimately rotations.
Page 126
Nine Fixed Points in the Wind
The Elders had never seen it coming.
The young Master was elated as the
crowd cheered, each one of them understanding how simple it was. They
saw for the first time the basic nature of the numbers themselves,
their shapes, the stars and the triangles, the crossing polygons and
the spinning discs. Underneath the clutter of the arithmetic was the
simple nine number code, which seemed to rotate all around their heads
as the young master drew fantastic circles on the blackboard with
radiating arms.
But when the boy master had worked
out his thesis and drafted those lovely circles of nine, he
was not content. He saw the completeness of it but something was not
quite right. There was too much balance. It was not satisfying how
the nines bordered the figure yet the reflection and the reversals
did not catch the spirit of what was in his head.
Enjil wanted a deeper clarity - to
match the swirling movements he had first seen - so that the diagram
would show better what actually was going on, if that was at all possible.
Like the Elders and wise Masters who
had come before him, everyone believed in the perfection of the circle.
The world was created round, the sun was / Page 127 / round,
the stars wrapped around the vast bowl of the sky in a great orbit.
Mathematicians knew that numbers had a perfection not corrupted by
daily affairs and that the concept of a number was
abstract, unchanging. What better shape then, than the perfection
of a set of circles?
But to Enjil nine was the
number through which everything else flowed. It was also the number
that must give reversal and the more he thought of the pattern, of
circle upon circle, the more dissatisfied he became. It was too static,
too stationary. It did not move. Number nine was full of vigour;
it did things to other numbers - it was a catalyst. And yet
it had to be stationary to allow other things through it - this
was still the problem to solve. But how?
In the afternoon before the day of
the examination he saw the breeze gust up and whip up trails of dust
in the compound. Minor sand storms that eddied and whirled and zigzagged.
He saw spirals and the vortices, as the force in the wind moved his
mind into action.
He felt then that number nine
was an even greater concept than he had first imagined; it must be
like the secret, unseen force of the wind itself, and this would be
the force that moved the other numbers. The pattern he sought then
must have only one point of reference- number nine itself!
Not a circle of numbers, but a condensation of the nature of that
first innermost circle. It summed to nine, it had nine parts, it had
three hundred and sixty degrees which in turn compressed
to nine as three plus six plus zero."
Page 73
| 3 |
ADD |
9 |
9 |
9 |
| 3 |
DAD |
9 |
9 |
9 |
| 3 |
MAM |
27 |
9 |
9 |
Four Precious Mirrors
"Armed with the code we go on to look into the precious mirrors
of arithmetic, the four infinite planes of adding, subtracting,
dividing and multiplying, that manipulate all numbers."
| 5 |
SIGMA |
49 |
22 |
4 |
| 4 |
CODE |
27 |
18 |
9 |
| 4 |
IOTA |
45 |
18 |
9 |
| 1 |
I |
9 |
9 |
9 |
| 3 |
OTA |
36 |
9 |
9 |
| 1 |
I |
9 |
9 |
9 |
| 2 |
ME |
18 |
9 |
9 |
| 3 |
EGO |
27 |
18 |
9 |
"The sigma code lays down a trace
of how numbers work in secret, we can peer into their basic patterns.
But it is only when these patterns are seen as a whole that the beauty
of the code is revealed and the astonishing truth of number nine
at the heart of our number system."
4 |
ZERO |
64 |
28 |
1 |
3 |
ONE |
34 |
16 |
7 |
"(And here we must thank zero
for even allowing the sigma code to exist. For without zero
the process of reduction would not work. Adding digits to pare down
to a single digit is dependent on our unique placement value system
of units, tens, hundreds, etc. Zero allows the code to be bound within
the range 1-9).
Page 40
Then there are the tales of great spirits
and strange forms that govern the beginning and endings of things.
They are the stories across cultures which invoke nine as
a magic ingredient in rites of passage.
The Seeds of Nine
Yang formed the Heavens and Yin formed
the Earth. And Pan Ku, who was in the middle, changed his form
nine times a day, sometimes into a God in heaven or into a saint
here on earth.
A dead person must cross the Chinvat
or 'grading' bridge, which is as wide as nine spears laid
end to end for the just, and as narrow as the finest edged razor blade
for the wicked. (From Persia)
The dwelling place of the dead is
not easy to get to; there are steep mountains to climb, terrible deserts
to cross and poison- ous snakes to confront. The wind pierces the
body and the weary soul looks for a final resting place but first
must cross Hell's frightening rivers, all nine of them.
(From Mesoamerica)
Page 41
Homer wrote in the Odyssey:
At the age of nine, they were
nine orbits wide and nine fathoms tall and they threatened
the Immortals by bringing the tumult of war to Olympus. They wanted
to pile Mount Ossa onto Olympus and Mount Pelion with the restless
leaves onto Mount Ossa in order to mount their assault on Heaven.
Haephaestus was a magician, unique
in the world of the Gods, but he was lame and his mother thought him
ugly and dropped him from Olympus. He was brought up for nine
years in an underwater cave by Tethys and Eurynome and he there learned
handicrafts and the art of jewellery and the making of neck laces.
(Iliad XVIII)
It took Vulcan nine days to
reach the island of Lemnos when he was banished from Olympus.
The voyages of Odysseus lasted for
nine years before he arrived home.
The duration of the siege of the City
of Troy was nine years.
The Ark of Delucion was tossed about
for nine days when it became stranded on top of Mount Parnassus.
When the fallen angels were
cast out of heaven for "nine days they fell. "
(Milton, Paradise Lost)
THE CONCISE OXFORD DICTIONARY
First Edition 1911
Page 48
ar'changel (-kanj - n Angel
of highest rank;
one of the eighth ORDER of ninefold
celestial hierarchy; hence archangelic (Ranj -) a
[OE,f. AF archangele f.eccl.
Lf. eccl. GK arkhaggelos [as ARCH,-ANGEL]
5 |
NIOBE |
45 |
27 |
9 |
7 |
AMPHION |
76 |
40 |
4 |
6 |
THE-BES |
59 |
23 |
5 |
6 |
LATONA |
63 |
18 |
9 |
4 |
ODIN |
42 |
24 |
6 |
5 |
MIMIR |
- |
- |
- |
- |
M |
13 |
4 |
4 |
- |
I |
9 |
9 |
9 |
- |
M |
13 |
4 |
4 |
- |
I |
9 |
9 |
9 |
- |
R |
18 |
9 |
9 |
5 |
MIMIR |
62 |
35 |
8 |
Page 42
Niobe, the wife of Amphion,
King of Thebes, boasted of the number of children she had.
Latona raging with mad
jealousy called her own two children to seek a terrible revenge and
Niobe's loved ones were destroyed. For nine long days
Niobe lay beside her children, weeping for them, before their
bodies were buried into the darkness and she was turned into stone.
In the old ways of the Norse, Odin
was a great traveller; and he wanted to understand everything. But
wisdom could not be bought by gold or silver; so he gave his eye to
the woman who guarded the fountain of Mimir; so that he could
truly see. And Odin discovered the runes, the sacred writing which
allowed thought itself to be set down and passed on. To do this he
hung from the tree which was battered by the winds for nine
long terrible nights, pierced by a spear. Without having eaten or
drunk he picked up the runes shouting out he knew how to increase
and prosper. He engraved the runes into wood carvings.
Heimdallr, the God of the Norse people,
could see everything and never closed his eyes. He could hear everythinq,
the grass climbing out of the earth and the wool growing on the back
of sheep. He guarded the foot of the rainbow which led to the Gods.
Heimdallr; the special one, was born of nine mothers.
| 6 |
NUMBER |
73 |
28 |
1 |
| 9 |
HEIMDALLR |
73 |
46 |
1 |
| 4 |
ZEUS |
71 |
17 |
8 |
| 9 |
MNEMOSYNE |
123 |
42 |
6 |
Page 43
There were nine Muses; they
were the children of Zeus and Mnemosyne. They were
not only divine singers but they were patrons of all intellectual
activities of the times, including the highest, which was everything
that freed man and gave access to the eternal truths. These included
Eloquence, Persuasion, Wisdom, Knowledge, Mathematics, Astronomy as
well as Poetry, Music and Dancing.
There were also nine virgin priestesses
of the ancient oracle.
Dryden wrote in The Flower and The Leaf:
Nine worthies were they called, of different rites,
Three Jews, three pagans, and three Christian
Knights.
The Jews were Joshua, David, and Judas
Maccabaeus;
The Gentiles were Hector, Alexander,
and Julius Caesar;
The Christians were Arthur, Charlemagne,
and Godfrey of Bouillon.
Sometimes the nine worthies were
referred to as being three from the Bible, three from
the Classics and three from romance.
Page 44
But nine covers Hell and the
dark side in thrice three-fold ways as well.
At last appear
Hell-bounds, high reaching to the horrid roof,
And thrice threefold the gates; three folds were
brass,
Three iron, three of adamantine rock,
Impenetrable, impaled with circling fire
Yet unconsumed.
(Milton, Paradise Lost)
To make a charm the witches chant:
Thrice to thine,
and thrice to mine,
and thrice again to make up nine.
(Shakespeare, Macbeth 1 [iii])
Page 45
Buddha was the ninth incarnation
of Vishnu.
Vishnu created the world in
three strides. He pushed apart the universe and placed the
sky, the heavens and the earth in their rightful place.
Three times three, the trinity of
trinities, gains select status then as the doubling and resourcing
of special power.
3 x 3 = 9
From ancient times number nine was
seen as a full complement; it was the cup of a special promise that
brimmed over.
The organisation of heaven:
Seraphims
Cherubims Thrones
Dominions
Powers
Virtues
Principalities Archangels
Angels
To the Greeks a person was a full
chord of eight notes; the ninth was the all embracing sound
of the deity."
| 7 |
MANKIND |
66 |
21 |
3 |
5 |
WOMAN |
66 |
21 |
3 |
| 7 |
BLESSED |
66 |
21 |
3 |
Page 47
On the Sermon on the Mount there are
nine categories called Blessed:
Blessed are the poor
in spirit; the patient;
and those who mourn;
Blessed are those who hunger
and thirst for-holiness;
Blessed are the merciful;
Blessed are the clean of heart;
Blessed are the peace-makers;
those who suffer persecution in the cause of right; and those who
are reviled and have all manner of evil spoken against them in His
name.
(Matthew 5,3:12)
Jesus was crucified at the Third
hour.
At the Sixth hour the world was plunged into darkness. At the Ninth
hour Jesus yielded up his spirit and died.
(Mark 15, 25:39)
Page 48
Beyond the stories there are the numbers
themselves:
the Great Year of Babylon;
the verses in the Rg- Veda;
the choirs of angels in the Book of Revelation;
the years in Hell for a Buddhist;
the gates to Valhalla;
and all the names of Allah.
The Babylonian Great Year is 432 000
years long.
Written thousands of years ago, that
most sacred Hymn and first recorded poem of existence, the Rg-Veda
of the first Hindus, has stanzas 10800 in number.
In the Book of Revelation a choir of
144000 angels redeemed the Earth.
For the devout Buddhist, Hell can last
576 million years!
Valhalla is said to have up to 5 400
gates to Hell.
Allah has 99 names.
Page 49
When I look at these great and awesome numbers there is one surprise,
they all have a secret; in each case the sum of their digits adds
up to nine!
432000 -
4+3 +2+0+0+0
= 9
10800
- 1+0+8+0+0
= 9
144000 - 1+4+4+0+0+0
= 9
576
- 5 + 7 + 6 = 18; 1 + 8 = 9
5400
- 5+4+0+0
= 9
99
- 9 + 9 = 18; 1 + 8
= 9
Deep down in the fabric of the numbers
that describe and classify these great events is number nine,
planted like a hidden seed. Throughout sacred literature this
number keeps cropping up as the mark of auspicious events, acting
as a trigger point of initiation or departure.
Even in the archetypes of our hands,
nine is a catalyst to counting. Each finger can be divided
vertically into 9 points, a series of 3 on each side
and one up the middle. The points on one finger can then be allocated
numbers 1-9. The next finger can be marked from 10-90
another 100-900 and so on, until with one hand, as the
early Chinese did, one can count up to ninety-nine thousand,
nine hundred and ninety-nine.
9 9 9 9 9 .
Page 6
world was something quite different when
viewed from below. Looked at another way, six and six was not necessarily
twelve but something much more exciting - the number 3, of
a secret code.
I was won over. I began
to look at numbers differently.
I used the special code I
had stumbled on to find out more and track what Enjil had done;
I spoke to people and read books; I looked for the
answer to the riddle that made the Elders blanch and stir uncomfortably
on that fateful day of the Examination. And I finally visited
the mountain villages where the pupils in the schools stared at the
pictures before they did any calculations, in order that they may
inspire themselves for the rigours of the task ahead. The pictures
of course had been added to and decorated heavily but at their centre
stood the original spirit of Enjil's drawings, powerful and beautiful.
Through Enjil's investigation and my
own research I have learnt many things I was never
taught at school. When I think of the effort and the monotony
I went through learning by rote, suffering numbers as necessary
evils, I shudder. No teacher talked of the spirit of numbers,
no teacher showed me the shape of a number. No one introduced me to
a secret code that made lightning work of numbers and opened up worlds
of wonderful possibilities hidden from the day-to-day grind; I
found that other peoples too, in ancient times and in other lands,
understood numbers as secret and special and alive, and not as mere
counters, not just fodder for tiring calculations.
Page 7
So I set out on the path Enjil
took.
My own labours overlap his and our two
stories have now become one. But that is how a personal search should
be - with the spirit of that first discovery reaching out and embracing
one until no difference can be found between one's own research and
the inspiration that was first taken in. What was the author's becomes
yours - which must be the meaning of original, something that embraces
and absorbs all those inquisitive enough to enquire of others' inventions.
And it is in this spirit I dedicate
the journey to you. Follow the clues, build up the jigsaw piece by
piece and make your own investigations; become part of the search.
Go back in time and let the free spirit
in you enter. Talk to it, play, ask the strangest questions.
Start to count again in the simplest
of ways,
one, two, three, four... up to
nine.
You need to do this, but you will also
need nine clues.
And to begin with there is the story
of Enjil himself, the talisman I conjure up whenever
I think of numbers and of the fixed patterns that turn in the
wind."
Page 8 number omitted
"NINE FIXED POINTS IN THE
WIND"
Page 9 number omitted
"MOVEMENTS
OF NINE"
Page 12
Talisman
Enjil slept uncomfortably, his mind
full of torment in fear of the Examination to come. He was standing
in front of the Elders, those of the supreme rank, and he had nothing
to say! He had not found a proof or a clever hypothesis to place
before them on this auspicious day. And the day could not be put back
- it marched right up to him, dragging him out brutally
into the open, while the Elders, in their crimson robes, sat at the
high table waiting for him. They motioned him to come up. He climbed
up the steps and went to the blackboard and picked up the dry chalk
in his wet, nervous hands.
Villagers crammed the square to see
him perform. Word had gone out that the boy with the limp had magic
powers; for when he lay dying from smallpox a strange bird had
suddenly flown in and settled on his fevered brow, pecking at it.
Superstition said it was the devil who seized a person's brain
at such times, to give out great powers only to suck it back again
at the moment of death, to prevent that tender soul from being re-born.
And amazingly, as the bird flew away Enjil recovered and began talking
in strange languages and writing down sheets of numbers, confusing
everyone with ideas that they had never heard of.
Page 14
His thesis was done - he had
a proof written out in the higher algebra which his mentor had said
would easily give him the title of Master; it was the sort of thing
the Elders would like, for it was similar to the studies each of them
had done. "It is not about being original, Enjil", his mentor
said, "for you must not sit uncomfortably in your superiors'
minds. If you present something they do not understand, or agree
with as high learning, they will fail you. Conform, and then privately
get on with your real discoveries. That is what we all do. "
His teacher shrugged at the way life was at the Academy and worry
grew on the old man's face at the thought of what his stubborn student
might do. But Enjil had listened, he had conformed - his thesis
was as fine a piece of complicated mathematics as one could wish
for, deliberately put together in an obscure way so that difficulties
abounded in every line of the argument. In truth, Enjil had a much
simpler proof but it would appear too easy. So he had put it to one
side and applied himself to obscurities in the demonstration of his
thesis, knowing this approach would be more favoured by the Elders.
And the peace of the night said he had nothing to worry about but
go back to sleep and wait happily for that day of the Examination.
As he lay there looking up at the
moon, his mind began to wander over the ideas he really loved to think
about, like the expansion of (symbol ommited). Was there a pattern
to it? Or how many unlike squares could fit into a rectangle
or another square? This was a problem no one at the Academy could
solve, though / Page 15 / Enjil had come near. Was every even integer
the sum of two prime numbers as ten was the sum of three plus seven?
And there was more - the multiplication
patterns along diagonals used by the Chinese or the elegant ratios
used by the ancient geometers that gave beauty and shape to the spiral
and to the growth of the leaves around a stalk or the petals in a
flower.
As he roamed through the numbers in
his mind a strange thing then happened. A moon beam suddenly reached
out to him and dropped to Earth and turned into a shining woman. "So
here you are!", she said smiling. "I have kept looking out
for you. I find you here of all places, in a musty old Academy or
is it a temple?" She wrinkled up her nose at the small room he
slept in. The woman stroked his leg - "Does your leg hurt?
I saw you as a child, limping, dragging your leg through the
sand, making patterns that were wonderful- my friends still talk about
you. I am Soma. Do you still play such games? You gave me and my companions
a lot to think about that day, about the possible patterns in a matrix,
instead of just the straight across and up and down. And now here
you are, almost fully grown, yet still only a boy and sitting for
the Examination of Master! Hah, that will sound fine - Master
Enjil, Master Mathematician! How'd
you like that?"
She patted him on the head and stroked
his hair. Enjil could see the beautiful colours in her eyes. Her energy
flowed into him. She took his thoughts away and she spoke to him:
Page 16
"There are the cumbersome proofs
you follow that only the few will ever understand. Your proofs
are carrion for those vultures, the Elders. So why don't you do something
else, something amazingly different for your Examination? You are
capable of it! Why give the elders what they want, such a narrow outcome
from your learning; why not something that everyone can enjoy?
Imagine even the villagers following
your every sign on the blackboard, understanding it and seeing a
simple but great truth unravelling right before their eyes. Something
that lies under their noses, wouldn't that be fun?
How about drawing the many different
shapes of squares it takes to fit in just one square. Ah - I
know you were thinking of this already. You see I know your thoughts
- so I count them out. And I'll spoil it for you anyway, I'm
going to give you the answer; twenty-four! Yes, don't look so amazed,
it takes that many different squares to fit into one square. You want
to know the size of the square that allows this to happen? Ah, that
is harder. That you must work out for yourself" She smiled teasingly
and added, "Do you know the answer to the simpler problem; how
many different squares does it take to fit in one rectangle? I'll
tell you. It's nine! Nine unequal squares go to make up a rectangle."
"But why bother about geometry;
why not something simpler than that? What is it that everyone
knows and feels expert about? I'll tell you. It's numbers of course!
Imagine the village folk clapping hands and cheering as they see you,
their / Page 17 / new master; working
with the humble materials of numbers, the tools they use every day
of their lives to count coins and goats and sacks of grain from the
harvest. Let your mind dwell on this: numbers! Take the most simple
ones. Think of their make up. Don't be afraid of the Elders; they
are not bad men, but men with too much oldness stuffed into their
brains. Take them back to their childhood, let them smile again and
hop, skip and jump through your constructions; what do you think of
that? You smile? Do I take that as yes? Good! Then here is the riddle
you must solve. And remember I will be watching, now that I have found
you; but I won't help. I will only give you a signal when you succeed.
Remember
the only thing that will slow you down or stop you is the amount your
mind has grown up to be like the Elders, the brain of an expert. The
problem I set is for a child, with a mind that in innocence questions
everything and finds new beginnings. I too, believe it or not, am
like that. I live in the moon and each night I set a new day. The
turning of a fresh beginning
uplifts me. It keeps me from falling into endings and dull repeat
reasonings. Think about that. In your dreams I will speak to you,
I will help. My spirit will be with you. But now I must go for I have
to set another day. And this is the question I leave you with:
What is the fixed point in the wind?"
The woman withdrew along the moonbeam
and vanished as if she had never been.
Page 18
Enjil sat up. He looked hard at the
moon, staring into the white disc of cold light - and
the moment of magic vanished. Was it a trick? Was Vivek his arch rival
for the title of Master trying to hypnotise him from a distance? If
he listened to the woman it would be like suicide. Standing in that
great open courtyard and speaking about simple things that did not
need proofs would have the Elders laughing at him, baying like jackals
at his feeble efforts. Certainly he would be thrown out. This must
indeed be a hex put on him by his enemies!
But what was the fixed point in the
wind? The question intrigued and teased him. How can something be
unmoving in the swirling wind; what. was its fix, if indeed there
was such a point? For hours he lay awake struggling with these
thoughts until his tired brain came to a stop and wanted rest. Finally
Enjilfell asleep. The woman in the moon entered his dreams.
And he woke up with a new conviction
- the doubts and torments of the night well behind him.
He whistled and even smiled at Vivek, winking at his arch rival as
if to say he had prepared a brilliant proof Enjil laughed to
himself when he thought of the title he would introduce to his Elders
on the day of the Examination. He would wear the yellow robe of scholarship,
go up to the blackboard and announce in his most stern voice
the customary words, "My respectful Elders and Seniors.
I submit for your Examination and proper adjudication this thesis
I have now prepared for the award of the Most Expert Master of Mathematics,
the honour I now seek, / Page 19 / and pronounce as the title
of my learned subject: 'The Fixed Points in the Wind'." He could
see them writhing in agony, splitting their sides with laughter and
thirsting for his blood. The images made him break out in a cold sweat.
But a small voice spoke inside saying, "Don't be afraid -
of course you can do it - after all it is an easy question
- so solve it like a child, think like one, just like I said.
"
To solve the riddle Enjil went to
a secluded spot and sat in the shade of a banyon tree and blanked
everything he knew out of his mind. The great blackness descended.
Nothing moved. Shadows went into deeper shadows, layer into layer.
A black disc grew. First as a dot, then a circle, then a rushing blind
movement. Then the numbers came out, tumbling one over the other;
rolling the patterns over in his head. There were the star patterns,
zigzags, squares, cubes, seesaws and the weaving patterns going in
and out, all twisting over each other. Mindful of the woman spirit,
he looked at the simplest numbers; he followed their trails, the white
and black patterns, some, dotted with colour, moving like the wind,
changing shape and turning all the time. And there in the simplest
patterns were points that did not move or change, no matter what the
numbers were. And they were fixed points. When the woman in the moon
had talked of the wind Enjil knew she must have spoken of numbers,
jumping over each other in gusts of multiplications or blowing steadily
in ordered breezes of additions and subtractions. But within these
patterns, there was one number and point through which all the others
Page 20 / seemed to gather - it indeed must
be the fixed point. Could that be the answer to the riddle?
Then Enjil opened his eyes and composed
his thesis. It was so simple that he laughed out loud. Never mind
the Elders - they would have to love it, for he would draw
the movements of all numbers in one simple diagram. What was
clever about it was the method he had in his mind. He would take the
secret code the Elders knew about but had never thought of using to
look beyond their rituals of prophecy, for they would take the letters
of someone 's name and use such secret numbers to divine the character
of that person. But Enjil vowed to go beyond this.
That night he wrote out his thesis.
When he had finished he went out into the deserted courtyard and held
up each page to the moon. "Look", he said to the woman
in the moon, "I have finished - the task is done.
I pray these are the answers."
A shape seemed to move across the
face of the yellow disc though he could not be sure. But the woman
did not appear. The wind picked up, the night chill made him
shiver. Tomorrow was the day, and Vivek would be hoping for his downfall;
and his teacher would fret to the last moment as the Elders assembled,
sharpening their wits in readiness to humble the nervous candidate.
The crowd would gather and settle. Everyone would be waiting, watching.
Still Enjil was at peace. His ideas
were simple ,innocent; he believed they would shine through
no matter what. While Vivek performed great feats
/ Page 21 / of algebra Enjil would offer
to the Elders and the gathered crowd the four precious mirrors of
arithmetic. They could all laugh or puzzle at the reflections he would
show them, but in time their doubts would vanish or be blown away,
just as the gusting wind cleans out the dirt lying on the ground.
Suddenly a bright light flared, lighting
up the compound for an instant, and then faded. Had the woman come
to him and acknowledged his answer? Enjil rolled up the pages of his
thesis and held up his hand, just in case, to the night sky in salute
and farewell and then went to bed. He slept the peace of the innocent,
a fixed point himself in that night of swirling anxieties and jealousies.
Tomorrow would be a new beginning.
I wear Enjil's Talisman now, whenever
I calculate and look into numbers, and remember the mathematician
who was a boy. He inspires me to look afresh at things.
Enjil went on to be famous. He surprised
the Elders with his arguments of the fixed point in numbers; he astonished
the crowd. And if not for them cheering as they did at what was being
drawn on the board, the Elders would surely have failed him - the
old men being insulted that there was no high algebra or long- winded,
obscure complications to be resolved. Enjil's workings were just basic
arithmetic, they grumbled, which even a nine year old could follow,
they whispered to each other. It was laughable; it was ridiculous
and all too simple. But the crowd cheered and cried out, "Master,
Master," so many times, that the Elders / Page 22 / gave
in. On the boy's shoulders they placed the purple sash of Master embroidered
with winding circular motifs in gold thread, and then they held up
Enjil's hand to the crowd who in turn roared, "Mas-Ter, Mas-Ter".
The four syllable chant rocked the compound. When the dust cleared
and the noise subsided and the courtyard was empty, the temple still
hummed long into the night with stories of the new Master's cheek
and sheer luck.
So Enjil went on to be the real Master
of the Academy, outshining everyone and everything. He proved many
things, much of it beyond the best minds in that Academy of high learning.
But he kept faithful, from what we know of his teachings, to the simple
and straightfoward, and always the beautiful and intriguing. The Master
saw patterns where others only saw calculations.
Then disaster struck. In the wars that
ravaged the country the Academy was set on fire and the intellectuals
speared to death. Enjil and his papers and all the great library of
learning in the Academy were lost forever. No one found the young
mathematician's body. Soon the story went out confirming Enjil as
a spirit child, one that visited Earth now and then to remind us of
the greater glories that hid elsewhere. Others said it was the work
of the devil, who flew in to collect the soul that he had claimed
for himself long ago, when the little boy had lain dying from a fierce
attack of smallpox.
Whatever the truth of it the crooked
smile and limping walk of the Master was no more, severely missed
by those who loved him. Those who were there / Page 23 / on
that day of the Examination told others. And the words and diagrams
spread. The ideas travelled from community to community; changes and
additions were made along the way. But the basic structure Enjil proposed
is still there in the teaching.
Modern ways have swept across the culture of this great land and hand
calculators and computers have taken away the simple romance of numbers,
but in remote parts of the highlands, in locked away villages, young
mathematicians still look at Enjil'spattems and meditate for half
an hour before doing any serious mental computation.
What follows is a trace of the young Master's working, gleaned from
private study and old village stories. With Enjil we move towards
finding the magic of numbers and that special point, which though
full of movement itself, remains unmoving and stationary; just as
a fixed point does in the wind."
Turn! Turn! Turn! (To Everything There Is A Season) Lyrics of Wilson
Phillips
http://www.seeklyrics.com
To everything
Turn, turn, turn
There is a season
Turn, turn, turn
And a time for every purpose under Heaven
A time to be born, a time to die
A time to plant, a time to reap
A time to kill, a time to heal
A time to laugh, a time to weep
To everything
Turn, turn, turn
There is a season
Turn, turn, turn
And a time for every purpose under Heaven
A time of love, a time of hate
A time of war, a time of peace
A time you may embrace
A time to refrain from embracings
To everything
Turn, turn, turn
There is a season
Turn, turn, turn
And a time for every purpose under Heaven
A time to gain, a time to lose
A time to rend, a time to sew
A time for love, a time for hate
A time for peace, I swear it's not too late
To everything
Turn, turn, turn
There is a season
Turn, turn, turn
A TIME FOR PEACE I SWEAR ITS NOT TOO
LATE