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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