A NEW APPROACH TO GENERATE FORMULAE FOR PYTHAGOREANS TRIPLES, QUADRUPLES AND THEIR GENERALISATION TO N-TUPLES
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.
| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
|---|---|
| Licence |