Roberto Amato
Abstract
Some relations among Pythagorean triples are established. The main tool is a fundamental characterization of the Pythagorean triples through a cathetus that allows to determine the relationships between two Pythagorean triples with an assigned cathetus a and b and the Pythagorean triple with cathetus a · b.
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Some relations among Pythagorean triples are established. The main tool is a fundamental characterization of the Pythagorean triples through a cathetus that allows to determine the relationships between two Pythagorean triples with an assigned cathetus a and b and the Pythagorean triple with cathetus a · b.
Key concepts: Pythagorean triple, Pythagorean theorem, Characterization (materials science), Mathematics, Pythagorean trigonometric identity, Algebra over a field, Combinatorics, Pure mathematics