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Who is aryabhatta?
ARYABHATA(476—550AD):
- Aryabhatta was born in 476 A.D. Kusumpur, India. He was the first in the line of great mathematicians from the classical age of Indian Mathematics and Astronomy.
- His famous works are the "Aryabhatiya" and the "Arya‐Siddhanta”. The Mathematical part of the Aryabhatiya covers arithmetic, algebra, plane and spherical trigonometry. In the Arya‐Siddhanta, a lot of work is on astronomical computation.
- Approximation of Pi: Aryabhata worked on the approximation of pi (π) and may have come to the conclusion that π is an irrational number. In the 2nd part of Aryabhatiya, he writes the ratio of circumference to diameter is 3.1416.
- Aryabhata has given the formula for the area of a triangle. He also discussed the concept of sine in his work by the name of ardhajya. If we use Aryabhata’s table and calculate the value of sin 30 degrees which is 1719/3438=0.5., the value is correct. His alphabetic code is commonly known as the Aryabhata cipher.
- He was the first person to say that Earth is spherical and it revolves around the sun.
- He gave the formula $(a+b)^2=a^2+b^2+2ab$.
- He taught the method of solving the following problems:
$1+2+3+…………+n =\frac{n(n+1)}{2}$.
$1^2+2^2+......+n^2=\frac{n(n+1)(2n+1)}{6}$.
$1^3+2^3+.....+n^3=(\frac{n(n+1)}{2})^2$.
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