Mathematics in Ancient and Medieval India c8.s3.90

c8.s3.90

Assuming all the sine chords to be equal to the corresponding arc and dx to be equal to one unit, then the approximate value of *utkramajyā* = [ 1 + 2 + 3 + + (x-1) + x ]1/R = 1/R[ x + (x-1) + + 2 + 1 ] = (x²)/2 · 1/R = (x²)/2R (2)