Article Dans Une Revue Jñānābha Année : 2020

A NEW APPROACH TO GENERATE FORMULAE FOR PYTHAGOREANS TRIPLES, QUADRUPLES AND THEIR GENERALISATION TO N-TUPLES

Priyanka Wadhawan
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Résumé

In this paper, innovative methods have been devised to generate formulae for Pythagorean's Triples, Quadruples and these are finally generalised to generate Pythagorean's n-tuples. First method utilises formula for solution of a quadratic equation and generate two sets of Pythagorean's Triples. Second method determines universal identities that satisfy Pythagorean's Triples, Quadruples so on up to n-tuples. These methods are unprecedented, easy to derive at and hence are comprehensible to students and scholars alike. 2010 Mathematics Subject Classifications: Number Theory 11D09.

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hal-03152069 , version 1 (10-03-2021)

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Narinder Kumar Wadhawan, Priyanka Wadhawan. A NEW APPROACH TO GENERATE FORMULAE FOR PYTHAGOREANS TRIPLES, QUADRUPLES AND THEIR GENERALISATION TO N-TUPLES. Jñānābha, 2020. ⟨hal-03152069⟩
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