A CHARACTERIZATION OF PYTHAGOREAN TRIPLES
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 where x is a predetermined integer, which means finding all right triangles whose sides have integer measures and one cathetus is predetermined.
Pythagorean triples, Diophantine equations.