×

zbMATH — the first resource for mathematics

A characterization of Pythagorean triples. (English) Zbl 1420.11059
Summary: The main aim of this paper is to present an analytic result which characterizes the Pythagorean triples via a cathetus. This way has the convenience to find easily all Pythagorean triples \(x,y,z\in\mathbb{N}\), where \(x\) is a predetermined integer, which means finding all right triangles whose sides have integer measures and one cathetus is predetermined.

MSC:
11D09 Quadratic and bilinear Diophantine equations
PDF BibTeX XML Cite
Full Text: DOI