Mathematics in Ancient and Medieval India c8.127

c8.127

ii) Let K = *Koṭijyā*, U = *Utkramajyā*, R = Radius and J = *Jyā*. Now K = R − U K² = R² − 2RU + U² or R² − K² = 2RU − U² or J² = 2RU - U² or (J² + U²)/4 = RU/2 √((J + U²)/4) = √(RU/2) or √((Jyā² A + Utkramajyā² A)/4) = √((R × Utkramajyā A)/2) or Jyā A/2 = √((R × Utkramajyā A)/2) ... ... by 3 (i)