History of Hindu Mathematics: A Source Book v2.c17.s18.t2.5
History of Hindu Mathematics: A Source Book v2.c17.s18.t2.5
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v2.c17.s18.t2.5
Starting with the rectangle m² - n², 2mn, m² + n², we have in this case P = 2(m² - n² + 2mn). Hence all rectangles having the same perimeter unity will be given by $(m² - n²)/(2(m² - n² + 2mn)), mn/(m² - n² + 2mn),$ m, n being any rational numbers.