Indian Mathematics c5.18

c5.18

Again we have to remark the significant fact that none of these geometrical constructions occur in any later Indian work. The first two are direct geometrical applications of the rule c² = a² + b²; the third gives in a geometrical form the sides of the rectangle as a√2 and (a√2)/2; the fourth rule gives a geometrical construction for ab = (b + (a-b)/2)² - ((a-b)/2)² and corresponds to EUCLID, II, 5; the fifth is not perfectly clear but evidently corresponds to EUCLID, II, 4.