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1. On the Pythagorean triangles with an irrational hypotenuse

Author

Tofig Aliyev and Samir Pur Riza

Subjects
incomplete square, pythagorean theorem, solution in integer numbers, Mathematics, QA1-939
Abstract

The paper investigates a number of incomplete exact roots of a series of natural numbers, in relation to the Pythagorean theorem that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the legs. It uses the fact that the equation x^2+y^2=z^n,n=2,3,4,.. always has an solution (x,y,z) in integer numbers x,y,z∈Z={0,±1,±2,…}.

Published
2022
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