The Science of the Shulba: A Study in Early Hindu Geometry c19.s1.1

The Science of the Śulba: A Study in Early Hindu Geometry c19.s1.1

The formula of Kātyāyana to find the sum of n equal squares of sides a each amounts to $a² (√ n)² + a² ( (n - 1)/2 )² = a² ( (n + 1)/2 )².$