REVELATIONS OF THE KA-TA-PA-YA-DI SYSTEM OF NUMBERS
Here is an actual
sutra of spiritual content, as well as secular mathematical significance:
“Gopi bhagya madhuvrata
Srngiso dadhi sandhiga
Khala jivita khatava
Gala hala rasandara"
While this verse is a type of petition to Krishna,
when learning it one can also learn the value of pi/10 (i.e. the ratio of the
circumference of a circle to its diameter divided by 10) to 32 decimal places. It has a
self-contained master-key for extending the evaluation to any number of decimal
places.
The
translation is as follows:
“O Lord anointed with the yogurt of the
milkmaids’ worship (Krishna), O saviour of the fallen, O master of Shiva,
please protect me.”
At the
same time, by application of the consonant code given above, this verse
directly yields the decimal equivalent of pi as follows:
The value of the
consonant code divided by 10 i.e. pi/10=
Thus, while
offering mantraic praise to Godhead in devotion, by this method one can also
add to memory significant secular truths.
(explanation: go/ga =3, pi/pa
=1, bhag =4, ya =1, ma =5, dha =9, ra =2, ta =6
and so on.)
Learned men from
ancient times say that all knowledge that exists today was present in the Vedas
from ages ago. Anyone who hears such words will have an impression that it is
an OBSCURE statement. We should
remember here that any shloka in the ancient Hindu manuscripts has more than
one meaning. Katapayadi
Sankhya is a simplification of Aryabhata’s Sanskrit numerals, due
probably to Haridatta from Kerala. In Malayalam it is also known as ‘Paralperu’. For e.g. represents 31415926536 which is 1000000000000000 times the value of Pi.
The oldest available
evidence of the use of Katapayādi system is from Grahacāranibandhana by
Haridatta in 683 CE. It has been used in Laghu·bhāskarīya·vivarasa written by Śakara·nārāyana
in 869 CE. A shloka in the 10th book of Rigveda appears to be written for
praising Lord Indra. The technical translation of that shloka gives the value
of pi up to 28 digits accurately.
It is not until the invention of the computers that the western mathematicians could get this value up to 16 digits accurately.Here is a test for those who think that a computer can do any calculation. Use the fastest computer available to you and write a program to calculate the value of Pi up to 28 digits accurately! You will get to know how difficult it is!
It is not until the invention of the computers that the western mathematicians could get this value up to 16 digits accurately.Here is a test for those who think that a computer can do any calculation. Use the fastest computer available to you and write a program to calculate the value of Pi up to 28 digits accurately! You will get to know how difficult it is!
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THE OBSCURE is a factual citation based on something that seems so obvious superficially. We do not create our destiny, we participate in its unfolding. Synchronicity works as a catalyst toward the working out of that destiny.” And as they say, "It's hard to believe in coincidence, but it's even harder to believe in anything else!"