Source: – Joseph T Noony / Twitter.
At least reformists should be bold enough to abandon Mullerian dates like '600BC' for Apastamba. He was one of the-
-Fathers of Geometry.'SulbaSutra' or 'rules of chords' is the oldest name for geometry
-1st to work with irrational nos
-1st to state Pythagorean theorem with proof https://t.co/rEu3Yd6fya— Joseph T Noony (@JoeAgneya) January 30, 2018
The sutras, though not devoted to pure mathematics, are the world's 1st treatises on it.They contain the seminal discoveries not just of Geometry, but also of Algebra & maybe even the place value. Their deserved recognition in the history of Math is deniedhttps://t.co/TtlqGK5Ni0
— Joseph T Noony (@JoeAgneya) January 30, 2018
The Sulba Sutras were so inconvenient for the Mullerian gang trying to undermine Vedic culture and make it secondary to Mesopotamia and Greece, they forced so many arbitrary dates on so many CRITICAL texts. And their successors still get away with such gross incompetence.
— Joseph T Noony (@JoeAgneya) January 30, 2018
It is very remarkable that such an archaic work would try to deal with irrational numbers. It was only much later that Aryabhatta would recognize 'irrationality'. Many different approaches are found in the different sutras to obtain pi in a wide range of values 2.99 to 3.2022
— Joseph T Noony (@JoeAgneya) January 30, 2018
It is interesting that humans first stumbled upon irrational numbers when trying to construct a Vedic fire altar. The root of 2 was one that challenged the Vedic Purohits/mathematicians. In the sutras the following solution is found,giving a value 1.412156.. correct to 5 decimals pic.twitter.com/w13XtdPOdP
— Joseph T Noony (@JoeAgneya) January 30, 2018
Though the equation may be used to argue that Apastamba & Manava thought root 2 was an exact number,and didn't know irrationality, they were interested in practical use, not the stone hard modern approach. Many later Indian texts clearly state these cannot be exactly determined
— Joseph T Noony (@JoeAgneya) January 30, 2018
The Pythagorean(or Baudhayana to be truthful) triples obtained in the Sulba sutras are-
5, 12, 13
8, 15, 17
12, 16, 20
12, 35, 37— Joseph T Noony (@JoeAgneya) January 30, 2018
Contribution to Algebra- The Quadratic equations make their first appearance in literature in the sutras of Baudhayana, Manava and Apastamba- the first men with whose names the history of Mathematics SHOULD start.
The forms ax2 = c and ax2 + bx = c are seen.— Joseph T Noony (@JoeAgneya) January 30, 2018
Another beautiful achievement of these late Vedic minds is having formulated probably the world's OLDEST formula for calculating square roots. Here, for calculating the irrational root of 10, a is taken as 9 and r is 1. You get 3.162278, correct to 6 decimal places. pic.twitter.com/ZCTwL1feRw
— Joseph T Noony (@JoeAgneya) January 30, 2018