# Àryabhatiya of Àryabhata {A1}

The Àryabhatiya of Àryabhata, An Ancient Indian Work on Mathematics and Astronomy, translated by William Eugene Clark, Professor of Sanskrit at Harvard University {The University of Chicago Press, Chicago, Illinois. 1930}

With reference to the above publication, on page 14, Professor Clark writes, to me at any rate, the most telling facet:

Quote.

“for the circumference of the sky…it works out as 12474720576000

Unquote

On page 9: Professor Clark writes the following:

Quote:

“In a Yuga the revolutions of the Sun are 4,320,000, of the Moon: 57,753,336, of the Earth eastward: 1,582,237,500, of Saturn: 146,564, of Jupiter: 364,224, of Mars: 2,296,824”

Unquote

The colours are of my doing, I will denote the Àryabhatiya of Àryabhata as: AA

Providentially I possess a copy of this superior publication, furthermore I examined the data contained within, following are my findings, and we detach the quotations with regard to the respective Planet: and obviously employ the highlighted “for the circumference of the sky…it works out as 12474720576000

Since the word: “circumference” implies a circle of time, otherwise a circle of a certain distance is clear, to me at least, accordingly we explore 864000, the seconds in 24 hours, 25920, the Platonic Year {Precession of the equinox} etc Gematria values such as: Lord Jesus Christ: 3168 will be denoted as Gem

The AA revolutions add to: 4.320,000 + 57,753,336, + 1,582,237,500, + 146,564 + 364,224 + 2,296,824 = 1647118448 this we will employ almost immediately Regarding the 12474720576000, this divided of the Sun 4320000 = 2887666.8 which is one twentieth of 57,753,336, of the Moon

The Platonic Precession cycle: 25920 is 12 x 2160, moreover the Moon: 57,753,336, x 2160 = 124747205760, a reduced 12474720576000:  “circumference of the sky” The 2nd PWS {Plato’s World Series} member is 432

As a result the 12474720576000 divided by the Moon: 57,753,336, = 216000, this is: 369.86301369 x 584, this is the Maya Synodic period of Venus, the 369.86301369 x 3.94740740 = 1460, this is the Sothic cycle

Subsequently the 3.94740740 x 92.46575342 = 365, this is Gem: Abraxas, Mithras, both Solar “gods” Hence the 92.46575342 x 17111605.555 = 1582237500 this is “of the Earth eastward

The 17111605.555 is 5414218.9453125 x 3.160493827 this is the Egyptian Rhind Papyrus fraction {256:81} Hence 3.160493827 x 12474720576000 = 39426277376000 this is the “of the Moon”: 57,753,336, x 682666.666 this multiplied by 52.488 = 35831808, which is the NC {Numerical Canon} Moon circumference

The 52.488 will obtain numerous additional units of measure, for example 52.488 is 20.736 x 2.53125 moreover this multiplied by 10240 = 25920, the Platonic Precession, The prior employed 5414218.9453125 x 524288 ÷ 32854282.666 = 86400, the seconds in 24 hour

However the 524288 is a component of the Comma of Pythagoras, {531441:524288} The 9th PWS member is 1024

The square root of the 531441 is 729 and 729 divided by the Rhind Papyrus fraction 3.160493827 then divided by the prior 2.53125 = 91.125 this being an increased Qedet. {of 9.1125} which is an ancient Egyptian unit of measure Also the 32854282.666 is the 682666.666 x 48.126390625 this multiplied by 112500 will regain the prior 5414218.9453125.

A “unit” of measure attributed to Sir Isaac Newton being: 20.736 The “Comma” multiplied twice by the “Limma” obtains: 1.125 the “Rhind” multiplied by the  “Limma”  obtains exactly 1.06787109375 that multiplied by 2.370370 regains the 2.53125

The 2.370370, for example, multiplied by 243 = 576 Gem: Eagle, Pneuma {Breath} the 5th PWS member is 576, likewise the height of the Great Pyramid of Giza is 5760 {inches}

Where do the interconnections terminate, if it all, furthermore via which fountainhead of awareness are each and every one these “numbers” interconnected so flawlessly given that, In accordance with Plato, the number representative of fusion is 1746, as it characterizes the fusion of the Solar number 666 added to the Lunar number 1080 This “fusion” is the “sacred union” of the opposite energies, the Yin-Yang etc. likewise whilst we “fuse” in this fashion: 1 + 746 we obtain 747

An added thoughtful observation concerning Plato within Laws V1 pertaining to Law 747

“Numbers have a use in respect of all the variations of which they are susceptible, both in themselves and as measures of height and depth, and in all sounds, and in motions, as well as those which proceed in a straight direction, upwards or downwards, as in those which go round and round”

Consequently it is of interest that the prior the lunar, Yin-Yang number 1080 multiplied by of the Moon: 57,753,336, = 62373602880 which is one two-hundredth of 12474720576000, which is 2475142971.428571 x 5040, this is the number of paramount import to be employed within the idealistic utopian City-State Magnesia as envisioned via Plato, the entire must engage the number 5040, Citizens, plots of land, etc and 5040 is 1080 x 4.666 one third of 14 and 1080 x 14 = 15120, the shorter value Greek cubit is 1.512 that multiplied by 500 = 756, the GP base side length

The 2475142971.428571 is the Schooldays Pi {22 ÷ 7} of 3.142857 x 787545490.9090 which is 687539714.285714 Egyptian feet of 1.14545, hence 687539714.285714 x 0.084 = 57,753,336, of the Moon

The British Admiralty {or as I dub it} “Sea” mile of 6080 multiplied by of the Moon 57753336 then divided by the 62373602880 = 5.629629 this multiplied by 3.375 = 19, a prime number, likewise pertains to the Metonic cycle. Equally Gem: Eve is 19, the 3.375 x 320 = 1080 as prior, the Arabian Hashimi foot of 1.064448 x 57,753,336 x 202922.077922 = 12474720576000: circumference of the sky

The 202922.077922 x 13167 = 2671875000, this is 439453.125 Sea miles of 6080, conversely the 439453.125 x 2048 = 900000000, the 2048 is 1924.001924 Arabian Hashimi feet of 1.064448, the 16th PWS member is 2048

The 1924.001924 x 1388707.03125 = 2671875000, the 1388707.03125 x 49.772917141338193969 = 69120000, the Egyptian Stade is 691.2, yet the 69120000 divided by the prior 2048 = 33750, this we observe prior as: “the 3.375 x 320 = 1080 ” The 49.772917141338193969 x 41.146875 = 2048 the 41.146875 x 320 = 13167 and  so it continues.

Besides there is much more to demonstrate, nevertheless it is best I revisit the object of the exercise: “The Àryabhatiya of Àryabhata” I merely desired the reader perceive the numerous avenues to tread, given that the entire are interrelated since the 16th PWS member is 2048 and the 31st member is 6912

As we observe prior:
The AA revolutions add to 4.320,000 + 57,753,336, + 1,582,237,500, + 146,564 + 364,224 + 2,296,824 = 1647118448

The 1647118448 divided by the Platonic Precession cycle of 25920 = 63546.23641975308 the Moon:  57,753,336 ÷ 63546.23641975308  = 908.83959859…the NC Earth mean circumference is 24883.2 miles

Subsequently 908.83959859…÷ 2.48832 = 365.24225123608… a tolerable Earth year, which multiplied by 360000 ÷ 5280 = 24902.88076609… a tolerable Earth Equatorial circumference, hence the Platonic  25920 x 908.83959859…÷ 365.24225123608… = 64497.2544 this is 2160 x 20.736 x 1.44

There are added interconnections, regarding “of Jupiter: 364,224” since 364224 divided by the 64497.2544 then multiplied by the: 2296824 of Mars = 12970450.174325… this multiplied by the 908.83959859…x 2160 then divided by the 365.24225123608…= 69713202048 this divided by the 364224 of Jupiter = 191402, subsequently the 2296824 of Mars divided by 12 = 191402 {Please see 365.24225123608...below}

The Maya “Super number” otherwise “Holy” number 1366560 multiplied by the Moon 57,753,336 = 78923398844160, this is the circumference of the sky 12474720576000 x 6.32666, the Maya Synodic period of Venus: 584 ÷ 6.32666 = 92.307692 that multiplied by the Maya Third Sun: 312 = 28800, if truth be told it is unattainable to indicate the numerous interconnections in one fell swoop, interconnected regardless of the age, regardless of the culture

Likewise the foregoing are but some examples, the intricacy of interconnectivity in no way terminates We will investigate the Planet Orbital periods accordingly we require unearthing a fine approximation of an Earth year, furthermore seeing as the revolutions given are all whole numbers, we require employing a whole number that gels each and  every one

We observe prior that the revolutions add to 1647118448 Likewise, “my” Earth year being: 365.2421989187…{1881 x 6080 x 30 = 343094400 ÷ 299008 ÷ Pi = 365.2421989187….}

It is my opinion that the circumference of the sky: 12474720576000 is a roundabout insinuation regarding the actual Sun, as I will endeavour to demonstrate. The predicament, although a pleasing predicament is the infeasibility of indicating the entire interconnections, given that all of the “numbers” are flawlessly interconnected.

The 299008 is 204.8 x 1460, the Sothic Cycle the 299008 is 512 x 584, this is the Maya Synodic period of Venus the 299008 is 819.2 x 365 Gem: Abraxas, Mithras. The 4th PWS member is 512 the 16th PWS member is 2048, the 33rd is 8192 etc

Hence circumference of the sky 12474720576000 ÷ 1647118448 = 7573.663321631… this is 20.736 x 365.24225123… a tolerable Earth year, which multiplied by 360000 ÷ 5280 = 24902.88076609… a tolerable Earth Equatorial circumference.

Whereas the Earth year in addition to Equatorial circumference I employ is: 365.2421989187....which multiplied by 360000 ÷ 5280 = 24902.8771990053 …”my” year of:  365.2421989187…x 20.736 = 7573.662236779...tolerably near the 7573.663321631…

Subsequently Phi x 10 plus 10 = 26.1803398874989...furthermore Phi x Phi = 2.61803398874989…The prior 7573.662236779...x Pi = 23793.361643835...this multiplied by 26.1803398874989 … x 2.61803398874989… ÷ 365.2421989187…= 4465.040658212...

The 23793.361643835 x 9.9999999 = 237933.61405902 exactly and this is 207.36 x Pi x 365.242195266322…that multiplied by 360000 ÷ 5280 = 24902.87694997

A cycle of 235 Synodic months, is pretty well equal to 19 Earth years, a “year” of 12 Synodic months is commonly in the region of 354 days, otherwise 11 days less than the 365.24 or so days in a Solar year, in view of the fact that, for example: 12 x 29.53 = 354.36, therefore we will employ a Synodic Month of exactly 29.530588853 In addition to 19 Lunar years, is identified as the Metonic cycle is approximately 6939.6 days in duration,

“My” Earth year of 365.2421989187 ...x 19 = 6939.601779...this is exactly 29.530588853 x 234.9970674… While the prior Earth year of: 365.24225123608 x 19 = 6939.602773...this is exactly 29.530588853 x 234.99710107…hence both are in the vicinity of 235

Accordingly how fares the number: 19, in that case 235 x 20.736 ÷ 4465.040658212…, then multiplied by 19.00017301366…= 20.736 Hence: the 4465.040658212…÷ 20.736 ÷ 19.00017301366…x 25920 = 293750.which is 1250 x 235

A Synodic Month of exactly 29.530588853 ÷ 20.736 x 46656 = 66443.82491925 that divided by 2.668080825163…= 24903.2279279...a tolerable Earth Equatorial circumference, {miles}that multiplied by 5280 ÷ 360000 = 365.2473429433…another tolerable Earth year, the 2.668080825163…x Pi =  8.3820231195166015625 exactly Hence the 66443.82491925 ÷ 8.3820231195166015625 x Pi = 24903.2279279…

The revolutions of the Moon: 57,753,336, ÷ 7573.663321631… = 7625.548370370 this multiplied by 1635911277.472377… = 12474720576000 circumference of the sky, hence the 1635911277.472377… is 216000 x 7573.663321631

On page 9 we will observe written:

{Snip}…1; in a Yuga the revolutions of the sun are; 4320000……of Mercury and Venus the same as those of the Sun….2. Of the Apsis of the Moon 488219 of {the conjunction of} Mercury 17937020, of the conjunction of Venus 7022388… {Snip}

As regards the aforesaid Of the Apsis, whilst a celestial object is in an elliptical orbit around another body, an Apsis is a point on the orbit at furthermost otherwise slightest distance from the centre of attraction, which is, in general, is the centre of mass off the system The subsequent created Orbital periods are in close proximity to the modern-day NASA website Orbital periods, equally the: of the Moon: 57,753,336, plays an important role in view of the fact that 57753336 ÷ 20 = 2887666.8. Hence are we able to obtain decent Orbital periods employed the figures as indcated above highlighted in green?

Of the Apsis of the Moon 488219

Circumference of the sky 12474720576000 ÷ 488219 ÷ 2887666.8 x 488219 = 4320000 of the Sun

{1} regarding Mercury subsequently 4320000 ÷ 0.240842681…= 17937020 NASA: indicates: 0.2408467Orbital period

of the conjunction of Venus 7022388

{2} Therefore 12474720576000 ÷ 7022388 ÷ 2887666.8 = 0.6151753506Orbital period regarding Venus, subsequently: of the Sun 4320000 ÷ 0.6151753506... = 7022388... NASA indicates: 061519726... Orbital period

{3} Earth is: 1582237500, subsequently 12474720576000 ÷ 1582237500 x 0.32 x Pi x Pi = 24900.546391903...a tolerable Earth Equatorial circumference

{4} Earth 1582237500 ÷ 2296824 of Mars ÷ 365.24225123608…= 1.8860923Orbital period NASA: indicates: 1.8808476 Orbital period {“my” year would obtain: 1.88609258……}

{5} Earth 1582237500 ÷ 146564 of Saturn:  ÷ 365.24225123608… = 29.557204Orbital period NASA: indicates: 29.447498Orbital period {“my” year would obtain: 29.557208…}

{6} Earth 1582237500 ÷ 364224 of Jupiter:  ÷ 365.24225123608… = 11.8938402Orbital period NASA: indicates:  11.862615Orbital period {“my” year would obtain: 11.893842001…}

The prior employed 20.736 is a guide to numerous units of measure, ancient and modern-day, for example the Nineveh Constant is 195,955,200,000 is 9450000000 x 20.736 Likewise: 479001600 {=12!} is 23100000 x 20.736

Via the instructions given via Plato, the area of Atlantis, minus the Central Shrine, is 4561920000 square units, furthermore 4561920000 is 220000000 x 20.736, the cubic inches in one cubic yard: 46656 is 2250 x 20.736, the Platonic 25920 is 1250 x 20.736

The NC Earth to Sun distance of 93312000 ÷ 23100000 = 4.039480519 that multiplied by Gem: {Gematria Value} Founder of the City: 1225 = 4948.3636 this, for example, is the Egyptian Cubit of 1.71818 x 2880 ample scope, for example 20736 is 7.2 x 2880

To enhance {3}, in that case: 12474720576000 ÷ 1582237500 x 0.320025 x Pi x Pi = 24902.4917470906…a tolerable Earth Equatorial circumference that multiplied by 5280 ÷  360000 = 365.23654562399...a tolerable Earth Year, the employed 0.320025 multiplied by the Pythagorean Limma {256:243} = 0.3371456790123 that multiplied by 1555200 = 524328.96 this minus a Comma Of Pythagoras {531441:524288} component, namely 524288 = 40.96, the 24th PWS member is 4096

The employed 1555200 is 60 x 25920, otherwise 1555200 is 18 x 86400 or 1555200 obtains: 8021296.666 x 1555200 = 12474720576000 the circumference of the sky:, the 8021296.666 is exactly 4511979.375 x 1.777 this is the square root of the Rhind Papyrus: {256:81} of 3.160493827 the 4511979.375,  is: of the Moon: 57,753,336, x 0.078125 that multiplied by the prior PWS member: 4096 = 320 the options are numerous

The Platonic: 25920, the seconds in 24 hours: 86400

The circumference of the sky: 12474720576000 ÷ Pi ÷ 2 ÷ 79577471.545947667…= 24949.441152...this is of the Moon: 57,753,336, x 0.000432 which obviously is a reduced: “In a Yuga the revolutions of the Sun are 4,320,000

The 79577471.545947667… ÷ 25920 x Pi = 9645.061728395 that multiplied by 46656 = 450000000, the 46656 is the amount of cubic inches in one cubic yard, I employed 46656 given that within the digits of 9645.061728395 we espy 1728 that multiplied by 27 = 46656

The 79577471.545947667… ÷ 86400 x Pi = 2893.518518 that divided by 2441.40625 will obtain 1.185185 which is the musical scale: Pythagorean Minor Third {32:27} the prior 24949.441152 ÷ 2441.40625 then divided by a reduced 57,753,336, of the Moon will obtain  17.69472

This 17.69472 divided by the longer value Greek foot of 1.01376 = 17.4545 which divided by the Egyptian foot of 1.14545 = 15.238095 that divided by 4.82142857 will obtain 3.160493827 which is the Rhind Papyrus fraction {256:81

The 4.82142857 x 1095.111 = 5280, the mile, the 1095.111 x 1.7578125 = 1925 Gem: Simon Peter, the 1.7578125 multiplied by the musical scale the Pythagorean Limma {256:243} then by 5.4 = 10

As mentioned prior, it is my opinion that the circumference of the sky:12474720576000 is a roundabout insinuation regarding the actual Sun, as I will endeavour to demonstrate. The Earth Year I employ is 365.2421989187

The Sun diameter is approximately 864000 miles, the circumference of the sky: 12474720576000 ÷ 864000 = 14438334 this is of the Moon 57,753,336,  x 0.25, the NC {Numerical Canon} distance with reference to Earth to Sun is 93312000 miles

The 12474720576000 ÷ 93312000 = 133688.2777 and this is {of the Moon} 57753336  x  0.0023148148 that multiplied by 108 = 0.25 , as observed prior the lunar, Yin-Yang number is 1080

Likewise, as mentioned prior, on page 9 we will observe written:

{Snip}

1; in a Yuga the revolutions of the sun are; 4320000……of Mercury and Venus the same as those of the Sun…

2: Of the Apsis of the Moon 488219 of {the conjunction of} Mercury 17937020, of the conjunction of Venus 7022388

{Snip}

Synodic Month of exactly 29.530588853

286.444 ÷ Pi x 57753336  ÷ 488219 ÷ 29.530588853 = 365.2420926…a tolerable Earth year that multiplied by 360000 ÷ 5280 = 24902.8699518…a tolerable Earth Equatorial circumference. The 286.444 x 4.5 = 1289 Gem: Father of the World, the Fish, and Poseidon

The NC distance Earth to Sun is 93312000 miles; the 12474720576000 ÷ 13.36882777 = 933120000000, the 13.36882777 x 4320000 = 57753336, of the Moon the 13.36882777 x 10000 = 133688.2777 as we observe previous

Quote: “In a Yuga the revolutions of the Sun are 4.320,000, of the Moon: 57,753,336, of the Earth eastward: 1,582,237,500, of Saturn: 146,564, of Jupiter: 364,224, of Mars: 2,296,824Unquote:

Quote “for the circumference of the sky…it works out as 12474720576000Unquote

There are far too many interconnections to specify via one fell swoop as it were, accordingly, I trust the reader can follow my, {no doubt seemingly to some} awry logic.

{A} the 12474720576000 ÷ 4320000 {of the Sun} x 20 = 57753336 of the Moon

{B} the 12474720576000 ÷ 1582237500 {of the Earth} x 7325.1736111 = 57753336

{C} the 12474720576000 ÷ 146564 {of Saturn} x 0.6785370370 = 57753336

{D} the 12474720576000 ÷ 364224 {of Jupiter} x 1.686222 = 57753336

{E} the 12474720576000 ÷ 2296824 {of Mars} x 10.633444 = 57753336 as a hint, the 10.633444 x 2340 = 24882.26 the NC Earth of 24883.2 minus 24882.26 = 0.94 this multiplied by 250 = 235

{A1} The {A} 20 x 1148.412 = 22968.24 a reduced: {E} 2296824 {of Mars}

{B1} The {B} 7325.1736111 x 1148.412 x 0.2730310715047…= 2296824 {of Mars} the 0.2730310715047…x 7325.1736111 = 2000. The 0.2730310715047…x 1582237500 {of the Earth} = 432000000 of the Sun albeit increased, the 0.2730310715047… x 536803.372569444 = 146564 of Saturn

The 536803.372569444 x 364224 of Jupiter then divided by the 7325.1736111 = 26691063.168, this multiplied by 57753336 of the Moon then divided by 123.569736888 = 12474720576000 circumference of the sky. The 123.569736888 x 6.306075382182… = 779.240075777 the 6.306075382182…x 364224 of Jupiter = 2296824: of Mars

{C1} The {C} 0.6785370370 x 1148.412 = 779.240075777

We currently indicate {E} prior to {D} as will be evident

{E1} The {E} 10.633444 x 108 = 1148.412 ÷ Pi = 365.550893012…

{D1} The {D} 1.686222 x 1148.412 x 364224 of Jupiter multiplied by of the Moon 57753336 ÷ 12474720576000 = 3265.331957655703703 due to the cyclic 703 we may possibly employ this 3265.331957655703703 with the prior 0.6785370370 as we observe within: {C} the 12474720576000 ÷ 146564 {of Saturn} then multiplied by the 0.6785370370 = 57753336 of the Moon

Conversely this 3265.331957655703703 divided by the prior Earth year of 365.550893012… ÷ Pi = 2.843345382716049 the square root of this is 1.686222 square one as it were, since as we observe prior: “{D} the 12474720576000 ÷ 364224 {of Jupiter} x 1.686222 = 57753336

We concentrate upon: “{B} the 12474720576000 ÷ 1582237500 {of the Earth} multiplied by 7325.1736111 = 57753336

For this reason: circumference of the sky 12474720576000 ÷ 7905.8149383933…÷ 57753336 of the Moon = 27.321661547 exactly, a Sidereal Month The 7905.8149383933… ÷ 1.75005385329519…÷ 12.368421052631578947 = 365.24221640778…a tolerable Earth year, the 12.368421052631578947 is 235 ÷ 19

A period of 19 years is nigh on exactly equal to 235 Synodic months, this 365.24221640778… multiplied by 360000 ÷ 5280 = 24902.8783914401…a tolerable Earth Equatorial circumference {miles} the employed 1.75005385329519… x 4185.684684 = 7325.1736111 as prior

“In a Yuga the revolutions of the Sun are 4.320, 000

The 4185.684684 x 666 x 5280 = 14718876480, the 12474720576000 ÷ 14718876480 x 68142.94666 = 57753336 of the Moon the 68142.94666 x 216000 = 14718876480 The 4185.684684 and 68142.94666 are ratios of each and every of one the numbers employed at the commencement of the following {A}… {B}…{C} etc calculations

For example in: {A} 200135.9141757935763888 x 4185.684684 ÷ 7325.1736111 ÷ 68142.94666 = 1.678234738759213 that multiplied by 16.28 = 27.321661547 exactly, a Sidereal Month

For example in: {B} 200135.3332455751736111 ÷ 200000 x 216000 = 216146.1599052211875 that divided by the 7325.1736111 = 29.50730882028 that divided by exactly 1.08 = 27.321582241, a Tropical Month

The 1.08 obviously the lunar, Yin-Yang number: 1080, reduced  The 16.28 x 904107891.891891 = 14718876480, the 904107891.891891 is 4185.684684 x 216000

…………………………

For the circumference of the sky…it works out as 12474720576000

{1} 1165598350839111111.111 ÷ 12474720576000 = 93436.83040737…

{2} the 57753336 of the Moon, ÷ 93436.83040737…÷ 1.692307 = 365.241105931… x 68.1818 = 24902.8026771… {1.692307 x 6.5 = 11} the 68.1818 x 5280 = 360000

The {1} 1165598350839111111.111 x 0.28125 = 327824536173500000 The 0.28125 x 9 = 32, the 20.25 ÷ 5.6953125 = 3.555 The 327824536173500000 x 20.25 ÷ 5.6953125 = 1165598350839111111.111

The 3.555 x 56288.225861941943359375 = 200135.9141757935763888 as in the new {A2} below The 3.555 x 56288.062475318017578125 = 200135.3332455751736111 as in the new {B2below, and so on

Please observe new {A}, {B} etc below, not to be mistaken for the prior {A}, {B} etc such as “…..{B} the 12474720576000 ÷ 1582237500 {of the Earth} multiplied by 7325.1736111 = 57753336…..

{A2} 200135.9141757935763888 ÷ 7325.1736111 = 27.321661547 exactly, a Sidereal Month

{B2} 200135.3332455751736111 ÷ 7325.1736111 = 27.321582241 exactly, a Tropical Month

{C2} 201841.861632370486111 ÷ 7325.1736111 = 27.554549878 exactly, an Anomalistic Month

{D2} 199334.2418284168402777 ÷ 7325.1736111 = 27.212220817 exactly, a Draconic Month

{E2} 216316.6901865675347222 ÷ 7325.1736111 = 29.530588853, exactly, a Synodic Month this 29.530588853 x 12.368266705986… = 365.2421989187… this is the Earth Year I normally employ {343094400 ÷ 299008 ÷ Pi = 365.2421989187…}

Consequently the {E2} 12.368266705986… is the lunar orbits per year, therefore 8829882.311757824 ÷ 299008 = 29.530588853, exactly the 8829882.311757824 x 7325.1736111 ÷ 299008 = 216316.6901865675347222 as within {E2}

Consequently, the matching process will apply to every one, for example the {C2} 201841.861632370486111 divided by {D2} 199334.2418284168402777 then multiplied by a  Draconic Month of exactly 27.212220817 = 27.554549878 Anomalistic Month

Or 199334.2418284168402777 x 299008 ÷ 7325.1736111 = 8136671.722049536 which is 299008 x 27.212220817, exactly, a Draconic Month

Hence in {E2} the 16316.6901865675347222 x 12.368266705986… ÷ 7325.1736111 = 365.2421989187… this is the Earth Year I normally employ

“For the circumference of the sky…it works out as 12474720576000

I consider the target measurements of the GP to be a base side length of 756 modern-day feet with a height of 480 modern day feet, hence a base side length of 9072 {756 x 12} modern day inches and a height of 5760 {480 x 12} modern day inches: Hence a volume of: 756 x 756 x 480 = 274337280 ÷ 3 = 91445760

The 12474720576000 reduced to: 1.2474720576 x Pi x 700 ÷ 3 = 914.4447787334307… the square root of this is 30.239788007… obviously one-hundredth of 3023.9788007…this is one third of 9071.936402…÷ 1.575 = 5759.9596204… which is 12 x 479.99663503…Tolerable approximations with regard to 3024…9072…5760…480 etc

Likewise, on page 27 is written

Quote

“Half of the circumference multiplied by half the diameter is the area of a circle. This area multiplied by its own square root is the exact volume of a sphere (Àryabhata 27) …”

Unquote

We will follow these instructions to observe the products, since there will be extended digits obtained, I will reduce the 12474720576000 to read as: 124.74720576 thus the premise is that: Half of the circumference multiplied by half the diameter is the area of a circle.

Therefore “Half of the circumference”: which is 124.74720576 ÷ 2 = 62.37360288 this: “multiplied by half the diameter is the area” ……Half of the diameter is the Radius, as a result 62.37360288 ÷ 2 ÷ Pi = 19.854134433605… the Radius of the circle

Hence: Area = Pi x 19.854134433605… x 19.854134433605… = 1238.373896687859… Therefore 62.37360288 x 19.854134433605… = 1238.373896687859…this is the area of the circle

The Volume of a sphere is: 4 ÷ 3 x Pi x Radius x Radius x Radius, this formula via a Radius of 19.854134433605…produces the following: 4 ÷ 3 x Pi x Radius x Radius x Radius = 32782.4557652119Volume {the initial 4 ÷ 3 x Pi x Radius = 83.16480384 exactly}

The surface area of a sphere is 4 x Pi x Radius x Radius = 4953.4955867514… {The initial: 4 x Pi x Radius = 249.49441152 exactly} The 4953.4955867514… divided by the 32782.4557652119…x 20.79120096 = Pi

The 20.79120096 x 4 = 83.16480384 as prior, hence, obviously, the 124.74720576 ÷ 2 ÷ Pi = 35.1905370332…, which is the square root of 1238.373896687859…which is Pi x 394.186654107 …

Furthermore the square root of this 394.186654107… is, perceptibly: 19.854134433605… The 1238.373896687859… is the square root of 1533569.90799… that divided by the 32782.4557652119… = 46.78020216 exactly

Subsequently 32782.4557652119…÷ 1533569.907997…x 83.16480384 = 1.777 this is the square root of: 3.160493827 which is the Rhind Papyrus fraction {256:81} The 83.16480384 is the 46.78020216 x 1.777 the 46.78020216 x 2.666 = 124.74720576 and the 2.666 is twice 1.333 this, noticeably the product of 4 ÷ 3, as in the formula: 4/3 π r3

However, noticeably I employed actual Pi and notwithstanding the admiration I embrace with regard to our illustrious ancients in addition to their unquestionable understanding, it is, by all accounts, nigh on impossible, in the: “Àryabhatiya of Àryabhata” era, they were acquainted with Pi as accurate as we living within this era. Consequently, how did they discern the diameter and circumference of a circle, there ought to be a version of “Pi implicated, for that reason we reconsider the information

“the circumference of the sky”: 12474720576000 ÷ Pi = 3970826886721.15160790904… the diameter, the square root of this is: 1992693.374988021…Subsequently Pi ÷ Phi ÷ Phi = 1.1999816148643

Followed by the 1992693.374988021… ÷ 1.1999816148643… ÷ 4542.6857142 = 365.5553914… admittedly a somewhat shabby Earth year, nevertheless in view of the fact that we employ actual Pi and Phi, it is reasonable, the employed 4542.6857142 is one seventh of exactly 31798.8 which divided by the square feet in one acre: 43560 = 0.73

Subsequently via these “numbers” we will obtain an enhanced Earth Year, since this 0.73 leads the way to numerous units of measure, for example the Maya super number: 1366560 ÷ 0.73 = 1872000 which divided by 5256 Maya Tzolkins obtains: 356.16438356 Gem: Tree of Life: 1625 ÷ 356.16438356 = 4.5625 that multiplied by 0.16 = 0.73

Gem: Son of man: 2190 ÷ 0.73 = 3000, the Sothic cycle: 1460 ÷ 0.73 = 2000, the Maya Synodic period of Venus: 584 ÷ 0.73 = 800 this is Gem: Lord, the Gem: Abraxas, Mithras Neilos {Nile}: 365 ÷ 0.73 = 500

Hence  “for the circumference of the sky…it works out as 12474720576000”  multiplied by 0.73 = 9106546020480 this is 351332794 Platonic Years of 25920, the 351332794 divided by 306187.795144426723374091 ÷ Pi = 365.242192681… a much improved Earth Year, that multiplied by 360000 ÷ 5280 = 24902.87677371… a tolerable Earth Equatorial circumference {miles}

The 306187.795144426723374091 x 1881 x 1.52064 = 875796249.96864 exactly, since the tail-end is 864, then 875796249.96864 ÷ 86400 = 10136.5306709333 this hints at the longer value Greek foot of 1.01376 Hence 10136.5306709333 ÷ 1.01376 = 9998.94518518

The cyclic 518 hints at the musical scale: Pythagorean Minor Third {32:27} of 1.185185 hence 9998.94518518 ÷ 1.185185 = 8436.61 that divided by the GP base perimeter of 3024 = 2.789884259259

The circumference of the sky 12474720576000 x 2.789884259259 = 34803026573640 this is 6591482305.613636 miles of 5280, also 6591482305.613636 is 5754468679.50396825 Egyptian feet of 1.14545

The 5754468679.50396825 is 3.160493827 x 3.142857 x 1.714285 x 1.0022727 x 337175899.189685639… that multiplied by 580608 = 195767024476725 this is Gem: Abraxas, Mithras: 365 x 536348012265 this is the 356.16438356 x 1505900188.2825

Prior we observe: 9106546020480 this is 351332794 Platonic Years of 25920…”

The 1505900188.2825 ÷ 351332794 = 4.28625 this multiplied by 0.07111 = 0.3048 this is the metres to feet ratio, EG: 1 ÷ 0.3048 = 3.28083989501… feet in one metre, likewise 0.07111 x 9000 = 640 the acres in one square mile.

The unspecified “numbers” employed are: 1881 this is 99 x 19 pertaining to the Metonic cycle, a prime number likewise Gem Eve is 19, the Sea mile of 6080 is 1881 x 3.2323 that multiplied by 59.4 = 192, Gem: Mary, the 59.4 x 4000 = 237600 this is the NC {Numerical Canon} distance: Earth to Moon

The prior 1.52064, this is a Greek cubit and the Sea mile of 6080 is 1.52064 x 3998.316498 that multiplied by the 59.4 = 237500 which is 237600 x 0.999579124 that multiplied by 19.008 = 19, the 19.008 is 0.36 x 52.8, hence 237500 is 19 x 12500

The prior 3.160493827 is the Rhind Papyrus fraction {256:81} the 3.142857 obviously the Schooldays Pi {22 ÷ 7} The prior 1.714285 is an Egyptian unit of measure {12 ÷ 7} the prior 1.0022727 is the Greek foot {441:440} the 580608 is 95.4947368421052631578 Sea miles of 6080, the 95.4947368421052631578  x 271.428571 = 25920

The 271.428571 x 0.07 = 19 otherwise 95.4947368421052631578 x 1881 = 179625.6 this is the prior mentioned 59.4 x 3024 the GP base perimeter, the 580608 is Gem Mary: 192 x 3024.On the other hand within the 580608 we espy the Greek mile of 5068.8 rearranged as it were, within, as a result 580608 ÷ 5068.8 = 114.5454 which is 100 Egyptian feet of 1.14545 etc

There being far too numerous interconnections to indicate herein, in addition to the foregoing employed units of measure are by no means the sole units that might be employed, in view of the fact that the entire are flawlessly interrelated. Likewise, often, the “numbers” to employ to sustain the examples of interconnectivity are within the digits, especially within cyclic digits, likewise: cyclic: circle, circuit, etc

Until the next essay