Computing Pythagorean Triples
General Mathematics
2023-07-07 v8
Abstract
Pythagorean triples are the positive integer solutions to the Pythagoras equation for right triangles, a2+b2 = c2. They have been studied for many years, many centuries in fact. In this short paper we present a method for computing Pythagorean triples in general, the first two cases of which go back at least to the early Pythagoreans (570-495 BCE), and to Plato (429-347 BCE). But the method has not been investigated as extensively as presented here. Several other approaches are also considered.
Keywords
Cite
@article{arxiv.2107.06891,
title = {Computing Pythagorean Triples},
author = {James M. Parks},
journal= {arXiv preprint arXiv:2107.06891},
year = {2023}
}
Comments
19 pages, 18 figures, 2 charts