Yesterday was π day and my friend Haldar Rana posted this quiz on π. I started to look around the Indian contribution with respect to π. Here are some of the stuff that I found.
Aryabhatta talks about π in following way.
Madhava has done some more serious work with π. He defines π as the ratio of the circumference (2,827,433,388,233) of a circle of diameter \( 9*10^{11} \). Which yields 3.14159265359.
Madhava also came up with Madhava Series.
\(\fracπ4 = 1 - \frac 13 + \frac 15 - \frac17+...\)
Ramanujam later discovered another series that converged much faster.
I will write another post with details of all that.
Aryabhatta talks about π in following way.
- Add 4 to 100
- Multiply by 8
- Add 62000.
- The result is approximately the circumference of the circle whose diameter is 20000.
Madhava has done some more serious work with π. He defines π as the ratio of the circumference (2,827,433,388,233) of a circle of diameter \( 9*10^{11} \). Which yields 3.14159265359.
Madhava also came up with Madhava Series.
\(\fracπ4 = 1 - \frac 13 + \frac 15 - \frac17+...\)
Ramanujam later discovered another series that converged much faster.
I will write another post with details of all that.
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