Pythagorean Triples and a New Pythagorean Theorem

2007/01/19 by H. Lee Price, Price, H. Lee, Frank R. Bernhart +1 · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0701554

openalex publication_date 2007/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• The Triangular Theorem of the Primes: Binary Quadratic Forms and Primitive Pythagorean Triples

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