History of Hindu Mathematics: A Source Book v2.c17.s19.t1.12
History of Hindu Mathematics: A Source Book v2.c17.s19.t1.12
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v2.c17.s19.t1.12
By the juxtaposition of the rectangles (1) and (2) we get Brahmagupta's rational trapezium with three equal sides : CD = 8m²n² + (6m²n² - m⁴ - n⁴) = 14m²n² - m⁴ - n⁴, AB = 8m²n² - (6m²n² - m⁴ - n⁴) = (m² + n²)² = AD = BC, if m² + n² < 4mn.