Pairs of Pythagorean triangles with given catheti ratios
Abstract
In this note we investigate the problem of finding pairs of Pythagorean triangles (a, b, c), (A, B, C), with given catheti ratios A/a, B/b. In particular, we prove that there are infinitely many essentially different ("non-similar") pairs of Pythagorean triangles (a, b, c), (A, B, C) satisfying given proportions, provided that Aa≠ Bb.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.