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History of Hindu Mathematics: A Source Book v2.c17.s19.t2.16

History of Hindu Mathematics: A Source Book v2.c17.s19.t2.16

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v2.c17.s19.t2.16

It has been found before (p. 227) that the sides of a rational triangle are proportional to $m² + n², p² + q², (p² - q²) ± (m² - n²)$ and its altitude is proportional to 2mn (or 2pq), m, n, p, q being any rational numbers such that mn = pq. The diameter of the circle circumscribed about this triangle is proportional to $((m² + n²)(p² + q²))/2mn.$