2019arXiv (Cornell University)Open access

A note on Pythagorean Triples

Roberto Amato

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Abstract

Some relations among Pythagorean triples are established. The main tool is a fundamental characterization of the Pythagorean triples through a chatetus which allows to determine relationships with Pythagorean triples having the same chatetus raised to an integer power.

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What this paper is about

Some relations among Pythagorean triples are established. The main tool is a fundamental characterization of the Pythagorean triples through a chatetus which allows to determine relationships with Pythagorean triples having the same chatetus raised to an integer power.

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Available abstract

Some relations among Pythagorean triples are established. The main tool is a fundamental characterization of the Pythagorean triples through a chatetus which allows to determine relationships with Pythagorean triples having the same chatetus raised to an integer power.

Key concepts: Pythagorean triple, Pythagorean theorem, Mathematics, Characterization (materials science), Integer (computer science), Combinatorics, Computer science, Geometry

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