While the period of the reign of the 10 Babylonian antediluvian kings is given
as 432,000 years,* the duration of the postdiluvian Kali-yug is also given as 432,000, while the four ages or the divine Maha-yug,
yield in their totality 4,320,000 years. Why should they, if fanciful and "extravagant," give the identical figures,
when neither the Aryans nor the Babylonians have surely borrowed anything from each other ! We invite the attention of our
occultists to the three figures given- 4 standing for the perfect square, 3 for the triad (the seven universal and
the seven individual principles), and 2 the symbol of our illusionary world, a figure ignored and rejected by Pythagoras.
Five Years Theosophy. HPB.
Every figure must be 7x (7 to the power of x); x varying
according to the nature of the cycle in the subjective or real world; and every figure or number relating to, or representing
all the different cycles from the greatest to the smallest -- in the objective or unreal world -- must necessarily be multiples
of seven. SD1 36.
JC: All cycles not divided into the general average by the
occultist are seen as septenary in division and also may be further multiplied as septenates, and this we are told by the
Tibetan Master. Karma plays a part in all this obviously so. The ray periods given in AKSD reveal the living numeric rate
governing the periods, these periods are not always plain to see or calculate in races and sub races, due to the obscure process
of ray activity which lives out manifestation or pralaya in septenate an infinite number of multiples of the ray numeral which
will obscure the numeric rate or value. But the ray number or sacred numeral is ever functioning and active. Regarding the
average divisions summing a kalpa or grand period of 4,320,000,000 years it is interesting that the division is reached using
the 432 numerical sequence and for no small reason. It is itself based on the 7 or compound number because, 4+3=7 which
geometrically represent the Square and Triad, together with the symbol of duality the 2. Cipher 2 prefixes the sacred double
cipher 25 which is appointed to our fourth order solar system and prefixes the 4th ray.
7x49= 343 and we know that this numbers the groups of constellations
as calculated by the adepts. Multiples as used by the adepts, are the 7x7=49 divine mathematics and 7x49=343 multiple. HPB
indicates that regarding the outer form and cyclic calculations such multiples of seven are always used in this our fourth
order solar system. This should be considered and read in conjunction with Cyclic Will and Law of the Chohan Hilarion and
the work of DK as well as HPB. The great white brotherhood under the Will of Sanat Kumara work precisely with the cyclic 49
year sweep of solar and ashramic inspiration and sharing manifesting in the 7x7=49 yearly group festival of ashramic decision
and opportunity. The number seven is not only the number of man but also the universal multiple and number of universal division
controlling ordered group expression under the law of affinity and karma upon the 49 sub-planes of the cosmic physical plane.
7x7=49 in one respect is the number of the group soul and may be multiplied or divided therein. Therefore we are shown a basic
hierarchal building block, the basic cycle of 49 and how it is determined and worked with and stepped down as the divine impulse
of the WILL registered and contacted by Sanat Kumara and the Chohans every 49 years as the universal impulse of cosmic and
solar sharing of universal Will, under cyclic law.
Regarding 7x7 = 49 logoi, we find, as HPB indicates, that "classes
of Rishis" appear "seven and seven" equalling forty nine entities. This should be considered by students regarding all "classes"
of logoi or Rishis. Individual constellations of x 7 stars known as 'systemic wheels,' are divided into 343 groups accordingly
by degree of Order and Magnitude which is a formula of 49 x 7 as used by the Adepts, or otherwise 7 to the 3rd power. The
formula of 10 to the 3rd power is of great moment incidentally and has been considered as the formula for the turning of the
3rd key AKSDP "1,000 is the number ten to the third power, and therefore the number 7,000 is also symbolical.SD1 36" and fits
the ray periods and suggestions given by DK and HPB. We might ask, as maths is an exact science, can this tell us anything?
7 to the 3rd power reveals to us the truth that the Rishis or great solar logi appear 7 x 7 = 49 forming seven constellations
of seven stars each thus occultly a group multiple to the 3rd power of 7 according to "class" or "magnitude" of the group
of Rishis concerned. HPB gives us a hint of a formula being 7 to the power of x, x being the unknown quantity according to
the nature or type of the cycle in the subjective or real world.
The key to understanding all the many and varied kinds of cycles
is yet to be known but must be the key mentioned by DK which unlocks all the mathematical cycles. He explains that there are
many cycles of great entities which "can be extended into septenates and into an infinity of multiples of seven." However,
HPB says that the multiple of seven used for divine calculations has for the purpose of ordinary calculations no sense or
meaning. We must therefore take into account the following from HPB. ""The Three, the One, the Four, the One, the Five" (in
their totality -- twice seven) represent 31415 -- the numerical hierarchy of the Dhyan-Chohans of various orders, and of the
inner or circumscribed world.".
This number accounts to the mathematical value of Pi the ratio
of the diameter to the circumference of a circle as 1 to 3.1415, and here were are given an exact description of its origin.
It represents the sacred 7 as the twice seven or 2x7=14 or the occult swastika containing the 31415 or astronomical Pi otherwise
understood as the number of the circle or inner circumscribed world from which the divine logos manifests and in so doing
makes possible all divine creation and all Elohim or orders of Dhyan Chohans. The 1 or line diameter originating from the
point within the circle which has neither limit or boundaries and is the parabrahmic cause of the circle or circumference
which together making the decad or perfect 10 is the sum of all the Kosmos. The first un manifested Logos is simultaneous
and one with the diametrical line drawn across the diameter of the Circle.
These create with endless possibility "a Decad with the primordial
Triangle which originated it" along with the septenary of the rays thus making the perfect Ten with all numbers contained
therein. Therefore the Line, the Triangle, the Pentacle, the second Line and the Cube or 13514 when bisected by the numberless
central point or synthetic logos creates simultaneously the diameter or feminine principle becomes the sacred manifestation
or creation of the divine numberless one composing the self moving sacred ciphers thus the self moving action or motion becomes
31415, or a triangle, a line, a cube, the second line, and a pentacle manifesting or descending as the chronologers or keepers
of seasons and cycles, the divine septenate the7 ray lords or great breaths before concealed in Sarvatma yet emanating from
and subject to the great un manifest 1st logos as the triad, the line, the quaternary, the line and the five pointed star
of Mahatic energy, manas/man. Thus do the geometrical self moving figures 13514 or 1,3,5,1,4 or 2x7=14, become the numerical
or mathematical 3.1415 the compound of which is 7.
"The sparks mean the Rays as well to the lower intelligence
as to the human sparks or Monads. It relates to the circle and the digits, and is equivalent to saying that the figures 31415
as given on pages 90 and 91, are all subject to the circumference and diameter of the circle". Collected Writings X 398/9.
JC: Taking the formula given in the Secret Doctrine for LIGHT
which is John A Parker' true or perfect calculation of Pi in accordance with the occult doctrine as being 20612 to 6561which
gives an accurate ratio of Pi as being 3.1415942691662856271909769852157 exactly, as the numerical value and formula of the
divine logos, Alohim or God. At the beginning of each new cycle of 4,320,000 years the Seven great breaths initiate each new
cycle by giving impetus to it. We do know that the numbers, 4, 3, 2 and 1 are embraced in the Yugas and therefore in all larger
average time periods. These numbers equal the sum of 10 or the perfect ONE/NAUGHT or the line/diameter and the circle/circumference.
3+4+3= 10 which is the sacred Decad or universal number of 7 to the 3rd power upon which all is built and is the symbol of
the ten sacred numerals which governs the zodiac of ten and issues forth as the ten sacred numerals of the seven rays 1+5+9+2+5+3+
5+1+5+7 = (43) = 7 the compound number reducing to the 4+3=7 of the seven great ray breaths.
The white lodge of our 4th order scheme meets 4 times in conclave
every century with the most important being the first quarter or first 25 years. The 100 year sounding of the OM by Sanat
Kumara is done at that time. In our first Ray Monad 4th order scheme this timing is of importance with the 4 posing huge significance.
We of course must correlate the 4th fundamental in with this, the [1+5+9+2+5+3+5+1+5+7 = (43) = 7]. It is Man the quaternary
and the divine triad or 4+3=7. This formula contains the rates of periodic ray manifestation as understood and worked with
by the great white lodge and as exactly given by DK and presents us with a huge field of study into the occult mysteries and
plan of the hierarchical masters. In considering Pi we are told that 3+1+4+1+5= 14 = 7 as the compound number. 14 = seven
universal and seven individual principles of the 7 rays.
31415 = 311,040,000,000,000 years through exchange (or "permutation")
of numerical elements of this set. This may be extended into septenates, for instance Constellations of x 7 stars divided
into groups of 343 is a formula of 49 x 7 or otherwise 7 to the 3rd power.
To be then extended into septenates and into an infinity
of multiples of seven:
The seven Lords of Being lie concealed in Sarvatma like thoughts
in one brain.
01 Circle+Diam > 10 Sacred Numbers 7 rays
13514 > Pi = 1 : 3.1415927 = 14 > 1+5+9+2+5+3+5+1+5+7
= (43) = 7
[seven rays can, under divine purpose, be re absorbed into
the Three and then into the One. DK]
It is the number 1 and number 7 as indicated by H.P.B.
which begins in the esoteric calculations with the first manifested principle or number one if we count from above or the
alpha number, and then the seventh when counting from below, or from the lowest Principle or omega number. HPB said "1,000
is the number ten to the third power, and therefore the number 7,000 is also symbolical." The numerical values attributable
to rays 1 to 7 begin with 1 to the third power equalling 1000 or the alpha number. 7 is symbolical and equates within the
formula equalling 7000 or the omega, and therfore encompasses the beginning and the end. Five other rays are calculated using
the same formulaic process by S.D.P. as follows:
I. 10 x (1) = (10) x 10 = (100) x 10 = (1,000
II. 10 x (5) = (50) x 10 = (500) x 10 = (5,000)
III. 10 x (9) = (90) x 10 = (900) x 10 = (9,000)
IV. 10 x (2.5) = (25) x 10 = (250) x 10 = (2,500)
V. 10 x (3.5) = (35) x 10 = (350) x 10 = (3,500)
VI. 10 x (1.5) = (15) x 10 = (150) x 10 = (1,500)
VII 10 x (7) = (70) x 10 = (700) x 10 = (7,000).
[1+5+9+2+5+3+5+1+5+7 = (43) = 7] 3rd key AKSD, SDP.
JC. Key to the Hebrew-Egyptian Mystery in the Source of
Measures: J. Ralston Skinner. An expounding on key points.
The numbers 3 and 4, in their blending of 7, as those
of 5, 6, 9, and 10, are the very corner-stone of Occult Cosmogonies. J. Ralston Skinner. Source of Measures. The Secret
doctrine. HP Blavatsky.
Three gravitating bodies of equal magnitude revolving together,
their relative motion shall be 4/3 or 1.3333333333333333333333333333333 of primary circumference of circle. The Parker
form of area of square 6561:5153 area of inscribed circle or 5153x4 = 20612. 20612 to 6561 is 31415 to one [3.14159] or otherwise,
Alhim, God or Light.
His general form for calculating of time periods using his
"problem of three revolving bodies" with factors 4 and 3 in the formula is:
20612 x 4/3 = 27,482.666666666666666666666666667 x 4/3
We will clearly see a further mention of the 4 and 3 as being
highly important with regard to the calculation of time periods, with 3 being the "numerical integral relation" of such just
as the triad is the natural originator of all plane shapes. 3. expressing the value of the circle to the square and cube with
the difference expressed at the sixth decimal point. The 4 and 3 are numerical factors and key to the computation of cycles
and incidentally of architectural construction. We should here recall that numbers are colour and sound and in ancient times
it was the use of these that enabled the priest kings and adepts to construct the pyramids according to the mathematical formulas
derived from and based upon 20612 to 6561with the latter being the area of the square, and together as a Pi value in its original
and occult form decipher the "Quadrature of the Circle". The construction of the great pyramid was a monument to this ratio
and its fractions and uses such as the sacred cubic and is the "source of measures" and the mathematical/geometrical source
by which deity constructs and geometricises. The circle is the primary shape of all shapes occultly understood and contains
or circumscribes the triangle and the cube. They are opposites yet hold a numerical and integral relation to each other as
well as one geometrical. DK tells us that the sacred planets are composed of triangles whereas the Sun is formed of interlaced
circles and the non sacred planets are of squares. This makes complete sense does it not? The law of separation through motion
bisects the square into two triangles to create the sacred "star of life" or planet thus ending the "rule of the square".
Therfore, the relative motion of "three gravitating bodies
of equal magnitude, revolving together, their relative motion shall be as four to three, or one and one third of one primary
circumference", [see 'source of measures, J. Ralston Skinner]. Where forces, distances and velocities of gravitating bodies
are disproportionate or unequal, their relative magnitude and relative motion remains always in exact proportion to the "standard
of measure" of 4/3 under the law of attraction and repulsion, Einstein 's law of relativity and as expressed also by time
as speed and distance of orbital motion and path. This numerical form of Parkers stands as 6561 : 5153 x4= 20612 and "none
other." This is of course in accordance with the mathematical laws of nature and deity as Ralston makes clear. I am eager
to point out that the equation includes the indication of time periods relating to the computation of orbital cycles for one.
The formula factor of 4/3 in some form should hold good for the calculating or figuring of much greater time cycles as HPB
also indicates as she invites our attention to "4 standing for the perfect square, 3 for the triad" as 432,000 yields 4,320,000
years with the 4 the 3 and the 1 composing, even if invisibly, all other time periods as is stated in the Secret Doctrine.
Let us for a moment note in AKSDP the ten sacred ciphers of the seven rays equate to 43 and compound to 7. 1+5+9+2+5+3+5+1+5+7
= (43) = 7. I find this point of great moment and highly indicative of the afore discussed "standard of measures". There is
no doubt in my mind that ten sacred ciphers sum the standard of measure as is used by occult numerology in nature and under
mathematical law. In other words the 3rd astrological key to the seven ray periods and cycles is formed on the same basis
of the geometrical and numerical 4 and the 3, the key measure which is discussed and demonstrated by Helena Blavatsky,
Dwhial Kule, John A Parker, J. Ralston Skinner and others.
"1st ray: 10 x 1 = 10 x 10 = 100 x 10 = 1000"*
1000 x 4/3 = 1333.3333333333333333333333333333
x 4/3 = 1777.7777777777777777777777777778
According to esoteric numerology DK suggests ten year cycles
of development with seven of learning and three of application. Here we will see that the 1, 10, 100, or 1000 year cycles
follow an outgoing period of 7 and a ingoing period of 3 relative to the length of the cycle. This is unique to ray 1 and
using here the formula of 1000 x the key factors of twice 4/3 as a key measure we can see how it reveals in this instance
the numerical cycle unique to it. This compounds the fact that all rays ciphers are substantiated by and multiply to 43. We
can clearly see the 1-7 and the 1-3 outgoing and ingoing cycles. Of course, the whole 3rd key rests on the formula of HPB
of the 1st ray being "10 to the 3rd power" which in itself holds significance to 1 and 3 for the 7.
"Cycles of Ray 1
Sacred Cipher 1
Outgoing period: 70 years duration
Comprised of 7 sub-ray periods of 10 years each.
Ougoing Peak reached: 70 years
Ingoing Period: 30 years duration." *AKSDP.
"2nd ray: 10 x 5 = 50 x 10 = 500 x 10 = 5000"*
5000 x 4/3 = 6666.6666666666666666666666666667
x 4/3 = 8888.8888888888888888888888888889
First I would like to remark that 8 is the number of the Christ
force, the Bodhisattva and it is of no mere chance that it recurs here as a factor of the sacred number 5 of the 2nd ray.
In this 2nd ray system it stands to govern all spiral-cyclic motions and incidentally rules our second ray hierarchy and the
soul or Christ consciousness. The 6 is the 2nd ray driven into materialism and form and is the number of Space the great entity
and symbolises the Christ line of idealism though of a material nature. 8+6= (14) = 5. There are 31 recurring eights making
the 3-1-8 or gnostic value of Christ. DK states, "number 8 inaugurates ever a new cycle, following after the number 7." This
is verified in the formula for the 2nd ray of love/wisdom, with the sacred prefix "5".
"Cycles of Ray 2
Sacred Cipher 5
Racial ray period: 500 years
Peak emergence: 250 years
Ingoing cycle: 250 years" *AKSDP.
"3rd ray: 10 x 9 = 90 x 10 = 900 x 10 = 9000"*
9000 x 4/3 = 12000
x 4/3 = 16000
We have here simply 1+2= 3 of the ray of active intelligence
or 3x3=9 along with the 1+6= 7. 9 is the number of initiation of which the 3rd is the first major hierarchical one. 6 is the
number of form. Note the 45 of outgoing and ingoing equals the sacred 9. 6+2= 8 +1 = 9. 20612 is the Mahatic LIGHT of the
third logos of intelligent activity.
"Cycles of Ray 3
Sacred Cipher 9
Period: 900 years
Outgoing peak: 450 years.
Ingoing cycle: 450 years." *AKSDP.
"4th ray: 10 x 2.5 = 25 x 10 = 250 x 10 = 2500"*
2500 x 4/3 = 3333.3333333333333333333333333333
x 4/3 = 4444.4444444444444444444444444444
We have represented the most occult of symbols being the tau
or cross as the 4 crossed by the 3 indicating the source of measures and 4+3=7. The cube within the circle unfolded becomes
the cross with the circle at the head. Man is thus "welded to the cross in ancient use" as 133/355 and 6561/20612 as the triad
and the quaternary crucified on the cross of matter and qualified and conditioned by the 4th ray of harmony through conflict
which incidentally is associated with the seventh or violet ray. The 4th ray is placed mid way at the cross point between
1 and 7 yet containing the 7. It symbolises the occult factors of 4 and 3 understood as a source measure or factor numbers
in calculating the esoteric and abstract quadrature of the circle or harmony through conflict and ultimately the Pi value
of 20612 to 6561 or LIGHT and indeed gives "man" an astronomical value be it human or logos. Zodiacal cycles based on 2,500,
25,000 and 250,000 years are prefixed by the sacred dual ciphers 25 for this fourth order system with the equatorial rotation
of the Sun per 25 days, all of which factor the ten sacred numbers of the seven rays 1+5+9+2+5+3+5+1+5+7 = (43) = 7.
"Cycles of Ray 4
Sacred Cipher 25
Period: 250 years
Outgoing peak: 125
The constant pi, denoted p, is Greek for perimeter and defined
as the ratio of a circles circumference divided by its diameter indicating the occult 1 or ONE self moving from the circle
or numberless naught becoming the 3 or triad and the compound 7 or seven. The circumscribed ring pass not issues forth seven
ray energy in circular, spiral cyclic motion. Pi is an infinite decimal and has an infinite number of recurring digits unlike
other formulas, never repeating any pattern and indicating the infinity and multi dimensionality of the great geometrician
the Kosmic Logos. JC.
1585. Adriaen Anthoniaz [Peter Metius] (1527 - 1607) (France)
355/113 (3.141459292...). Rediscovered this Chinese value, also known to the Japanease, when he was obliged to seek a still
more accurate value than 3 1/7 to disprove of Van der Eycke. He proved that Pi lay between 377/106 from which he concluded
that the true fractional value would be obtained by taking the mean of the numerators and the mean of the denominators of
these fractions, which gave 355/113. The "rediscovery" was perhaps a lucky guess. The value was published in 1625 by his son.
Pi. A Source Book. By Lennart Berggren, Jonathan M. Borwein, Peter B. Borwein.
JC: The Area or Circumference of a circle. [Parker the perfect
calculation, Metius the imperfect one].
The kabbala is a "whole series of developments based upon
the use of geometrical elements; giving expression in numerical values, founded on integral values of the circle" (one
of the seven keys hitherto known but to the Initiates), discovered by Peter Metius* in the 16th century, and re-discovered
by the late John A. Parker.† Moreover, that the system from whence all these developments were derived "was anciently
considered to be one resting in nature (or God), as the basis or law of the exertions practically of creative design";
and that it also underlies the Biblical structures, being found in the measurements given for Solomon's temple, the ark of
the Covenant, Noah's Ark, etc., etc.,—in all the symbolical myths, in short, of the Bible.
And what are the figures, the measure in which the sacred Cubit
is derived from the esoteric Quadrature, which the Initiates know to have
been contained in the Tetraktis of Pythagoras? Why, it is the universal primordial symbol. The figures found in the Ansated
Cross of Egypt, as (I maintain) in the Indian Swastika, "the sacred sign" which embellishes the thousand heads of Œesha,
the Serpent-cycle of eternity, on which rests Vishnu, the deity in Infinitude; and which also may be pointed out in the threefold
(treta) fire of Puraravas, the first fire in the present Manvantara, out of the forty-nine (7 x 7) mystic fires. It may be
absent from many of the Hindu books, but the Vishnu and other Puranas teem with this symbol and figure under every possible
form, which I mean to prove in the SECRET DOCTRINE. The author of the Source of Measures
[Probably Adriaan A. Metius is meant here. Vide Bio-Bibliogr. Index under METIUS.—Compiler.]
† Of Newark,
in his work The Quadrature of the Circle, his "problem of the three revolving bodies" (New York: John Wiley and Son, 1851).
Collected Writings VII 293. HPB.
Nevertheless, what the learned author has discovered and
proved mathematically, is wonderful enough, and sufficient to make our claim good: namely, that the figures and 3+4= 7, are
at the very basis, and are the soul of cosmogony and the evolution of mankind.
To whosoever desires to display this
process by way of symbol, says the author speaking of the ansated cross, the Tau of the Egyptians and the Christian cross—
. . . it would be by the figure of the cube unfolded,
in connection with the circle, whose measure is taken off onto the edges of the cube. (The cube unfolded becomes, in superficial
display, a cross proper, or of the tau form, and the attachment of the circle to this last gives the ansated cross of the
Egyptians, with its obvious meaning of the origin of measures.)* Because, also, this kind of measure was made to coordinate
with the idea of the origin of human life, it was secondarily made to assume the type of the pudenda hermaphrodite, and, in
And, by adding to the cross proper + the symbol of the four cardinal points and infinity at the same time, thus , the arms
pointing above, below, and right, and left, making six in the circle—the Archaic sign of the Yomas—it would make
of it the Swastika, the "sacred sign" used by the order of "Ishmael masons," which they call the Universal Hermetic Cross,
and do not understand its real wisdom, nor know its origin. [H.P.B.] Collected Writings VII 294. HPB.
To quote our friend and much respected brother for the last
time, since he says that. . . . . our [Aryan] philosophers have associated seven occult powers with the seven principles [in
men and in the kosmos] or entities above-mentioned. These seven occult powers in the microcosm correspond with, or are the
counterparts of, the occult powers in the macrocosm. . . .*
—quite an esoteric sentence—it does seem almost
a pity, that words pronounced in an extempore lecture, though such an able one, should have been published without revision.
H. P. BLAVATSKY. Collected Writings VII 300.
Circular measures taken off on to the edges of a cube. Cube
unfolded is in display a cross of the tau form, or Egyptian form, or of the Christian cross form. Circle attached to the first,
gives the ansated cross of the Egyptians. Numbers 3+4 =7, and 6+1 =7, days in the circle of the week, as 7 lights of
the sun. So also, as the week of seven lights give origin to the month and year, so it is the time marker of birth, The
cross form being shown, then by the connected use of the form 113 : 355, the symbol is completed by the attachment of a man
to the cross. Keys to the Hebrew and Egyptian Mysteries in the Source of Measures. Extracts. J. Ralston Skinner. 1894.
"The Three, the One, the Four, the One, the Five" (in their
totality -- twice seven) represent 31415 -- the numerical hierarchy of
the Dhyan-Chohans of various orders, and of the inner or circumscribed world.** When placed on the boundary of the great circle
of "Pass not" (see Stanza V.), called also the Dhyanipasa, the "rope of the Angels," the "rope" that hedges off the phenomenal
from the noumenal Kosmos, (not falling within the range of our present objective consciousness); this number, when not enlarged
by permutation and expansion, is ever 31415 anagrammatically and Kabalistically, being both the number of the circle and the
mystic Svastica, the twice seven once more; for whatever way the two sets of figures are counted, when added separately, one
figure after another, whether crossways, from right or from left, they will always yield fourteen. Mathematically they represent
the well-known calculation, namely, that the ratio of the diameter to the circumference of a circle is as 1 to 3.1415, or
the value of the (pi), as this ratio is called -- the symbol being always used in
[[Vol. 1, Page]] 91 THE IMMACULATE CONCEPTIONS.
mathematical formulae to express it.
This set of figures must have the same meaning, since the 1
: 314,159, and then again 1 : 3 : 1,415,927 are worked out in the secret calculations to express the various cycles
and ages of the "first born," or 311,040,000,000,000 with fractions, and yield the same 13,415 by a process we are not concerned
with at present. And it may be shown that Mr. Ralston Skinner, author of The Source of Measures, reads the Hebrew word Alhim
in the same number values, by omitting, as said, the ciphers and by permutation -- 13,514: since [[hebrew]] (a) is
1 : [[hebrew]] (l) is 3 (or 30); [[hebrew]] (h) is 5; [[hebrew]] (i) 1 for 10; and [[hebrew]] (m) is 4 (40), and anagrammatically
-- 31,415 as explained by him.
Thus, while in the metaphysical world, the circle with the
one central Point in it has no number, and is called Anupadaka (parentless and numberless) -- viz., it can fall under no calculation,
-- in the manifested world the mundane Egg or
Circle is circumscribed within the groups called the Line,
the Triangle, the Pentacle, the second Line and the Cube (or 13514); and
when the Point having generated a Line, thus becomes a diameter
which stands for the androgynous Logos, then the figures become 31415, or a triangle, a line, a cube, the second line, and
a pentacle. SD1 91.
JC: 13514 becomes 31415 upon generation of the diameter or
Kosmic logos in generation, action or manifestation. This ratio of the diameter to the circumference of a circle is as 1 to
3.14159, which becomes, using this formula loosely understood upon ratio and division, 311,040,000,000,000 years, or a 100
year age of brahma.
31415 = 311,040 through exchange (or "permuting") elements
of this set. To vaguely understand this formula for the computation of cycles we need to comprehend that In the general sense
permutations are sequences where each element or number occurs at most once, but that not all elements, in this case numbers,
of any given set or periodic cycle needs to be used by omitting as necessary any given numeral or replacing with a nought
in the sequence, as I deduce or decipher it, albeit without cracking the actual Law of Cycles, a given set or cyclic period
may be calculated. All that may be alluded to is that the Law of Cycles, at least in some part, is based upon combinatorics
or permutations. In mathematics a cycle is a permutation and there is no reason to exclude the thought that in the case of
occult cycles there are combined with this the use of septenate multiples also, as HPB and DK indicate with x defining a formula
or power, which as HPB states, varies [SD1 36] according to the cycle involved. Thus in order to define the cycle or its length
one needs to understand which power applies to which cycle as well as how the process of permutations operates as possibly
combined with this. Crucially though, Master DK tells us that these periods as given in the Secret Doctrine by HPB only "strike
the general average" and so those permutation may well only be used for striking such periodic averages whilst the true and
occult method lies entirely with the extension of septenates [to the power of x] for the subjective and real world with infinite
multiples of seven. Thus only the initiated are given to understand or comprehend the true cycles as DK and HPB indicate.
Therefore the true comprehension comes through the knowledge of septenary cycles and their periods of duration. This is a
loose definition of the law of cycles as I understand it in some small part.