The place-value system was clearly in place in Aryabhata’s work. While he did not use a symbol for zero, the French mathematician Georges Ifrah argues that knowledge of zero was suggested in Aryabhata’s pláce-value system as a placeholder for the powers of ten with null coefficients.
Place value system and zero
Approximation of Pi
Aryabhata worked on the approximation for pi and may have come to the conclusion that it is irrational.
Trigonometry
Aryabhata gave the area of a triangle as "for a triangle, the result of a perpendicular with the half-side is the area".
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