History of Hindu Mathematics: A Source Book v2.c17.s19.14
History of Hindu Mathematics: A Source Book v2.c17.s19.14
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v2.c17.s19.14
$CD = (p² - q²) + (m² - n²),$ $AB = (p² - q²) - (m² - n²),$ $AD = BC = m² + n², if m² + n² < p² + q²,$ $DH = m² - n², if m² - n² < p² - q²,$ $AC = BD = p² + q², if p² + q² > m² + n²,$ $AH = 2mn = 2pq,$ $area ABCD = 2pq (p² - q²),$ $if 2pq (p² - q²) > 2mn(m² - n²).$