History of Hindu Mathematics: A Source Book v2.c17.s19.15

v2.c17.s19.15

The necessity of the conditions m² + n² < p² + q², m² - n² < p² - q², etc., will be at once realised from a glance at Figs. 5 and 6. The above specifications of the dimensions of a rational isosceles trapezium will give Fig. 5. But when the conditions are reversed so that m²+n²>p²+q², m²-n²>p²-q², 2pq(p²-q²) <2mn(m²-n²), the dimensions of the isosceles trapezium (Fig. 6) are :