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单词 pythagorean triple
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Pythagorean triple
Pythagorean triple n. any set of three integers which satisfies the equation x2 + y2 = z2, corresponding to the sides of a plane right-angled triangle (cf. Pythagoras' theorem n. at Pythagoras n.).
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1940 Amer. Math. Monthly 47 718 Let (a, b, c) be any P.T. (Pythagorean Triple, i.e.,a, b, c integers, b >c, and a2 = b2 + c2).
1998 P. M. Higgins Math. for Curious iv. 85 A (6, 8, 10) triangle is similar to the (3, 4, 5)... But there are some genuinely different Pythagorean triples, such as (5, 12, 13) and (8, 15, 17).
extracted from Pythagoreann.adj.
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