Pythagorean Triples and a New Pythagorean Theorem
History and Overview
2007-05-23 v2 Number Theory
Abstract
Given a right triangle and two inscribed squares, we show that the reciprocals of the hypotenuse and the sides of the squares satisfy an interesting Pythagorean equality. This gives new ways to obtain rational(integer)right triangles from a given one.
Keywords
Cite
@article{arxiv.math/0701554,
title = {Pythagorean Triples and a New Pythagorean Theorem},
author = {H. Lee Price and Frank R. Bernhart},
journal= {arXiv preprint arXiv:math/0701554},
year = {2007}
}
Comments
21 pages, 5 figures, 3 tables Repaired Bibliography