2007•Journal of Qinghai Junior Teachers' CollegeRequires access

A Complex Number Discussion about Pythagorean Number

Jing Zhan-ce

Abstract

The characteristics of Pythagorean triples are studied in terms of complex number.Complex parameters of triples are introduced.Two expressions of Pythagorean triples are derived.The method of deducing Pythagorean Triples(irreducible and reducible) is explained.All irreducible Pythagorean triples less than 500 are calculated and listed in this paper.

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Key concepts: Pythagorean triple, Pythagorean theorem, Pythagorean trigonometric identity, Mathematics, Algebra over a field, Combinatorics, Pure mathematics, Geometry