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History of Hindu Mathematics: A Source Book v2.c17.s19.t1.14

History of Hindu Mathematics: A Source Book v2.c17.s19.t1.14

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v2.c17.s19.t1.14

The segment (CH), altitude (AH), diagonals (AC, BD) and area of this trapezium are also rational, for CH = 6m²n² - m⁴ - n⁴, AH = 4mn(m² - n²), AC = BD = 4mn(m² + n²), area ABCD = 32m³n³(m² - n²).