Thursday, December 04, 2008

Value Of Pi & Bodhayana Sutra


Bodhayana Sutra

This theorem now known as Pythagoras theorem was known to Bodhayana and Katyayana 1000 years before Pythagoras. Bodhayana has written this verse.


This was adopted in the construction of altars of sacrifice. Quadrangular, equilateral altars, bilateral altars and quadrilateral altars were used during sacrifices.

The value of Pi

Aryabhatta had discovered the value of pi much earlier than anyone. The value he gave was pi=3.1416. The value arrived at in modern mathematics is pi=3.1416926.
The verse of Aryabhatta giving this value is


Trigonometry

Trigonometry is one of the most important contributions of India to the entire world. In the field of trigonometry, Indians used ‘jya’ and ‘kotijya’. This word becomes cosine in the European languages.

Aryabhatta first composed ‘Jya Kostaka’. He has designed the lines of a circle from 0 – 90 degree. In order to fix the places of planets in Indian astronomy he was using many theories of Trignometry.

7 comments:

Satish said...

Few More credits to Aryabhata....

1) Though his works relates to GeoCentric Model, in some of his works he introduces the concept of HelioCentric Model. Indian Astronomy was(is) way ahead of others

2) His works on trignometry has the definitions of what we know as Sin, Cos, Tan Titas

Atlast, in one the ads he is shown as the indian who the taught the world to count.....

If you ever happen to visit Melukote(Mandya Dist), pls vist CENTER FOR DEVELOPMENT OF ADVANCED COMPUTING (C-DAC). You can lay your hands on invalubale manuscripts. One of them relates to Quadratic Equations

Sowmya said...

I have been to Melukote. My father recieved a part of his education there. Some elderly relatives who happen to be Sanskrit scholars, lived and worked there.

I will look for those manuscripts when I visit the place next.

You have studied Vedic mathematics before. Haven't you?

Satish said...

I haven't studied Vedic Mathematics in a systemactic way. In my graduation days, when we were visiting various sanskrit research institutes as a part of our curiculum, i came across some aspects of vedic mathematics. Then, started using the techniques, while preparing for various exams.

It had been a while that i had used them.Your posts certainly made me fetch some of the materials from the attic :).....

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John said...

More information about use of Pythagoras theorem by Bodhayana can be found here http://www.youtube.com/watch?v=a50lq7FRzCY

~rAGU said...

Thanks for putting the original verse.

Paul Howard said...

3.1416926... is incorrect.

It's 3.1415926...