Abstract
We investigate the problem of finding pairs of Pythagorean triangles $(a, b, c), (A, B, C)$, with given cathetus 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 $Aa\neq Bb$.
Citation
Mariusz Skalba. Maciej Ulas. "Pairs of Pythagorean triangles with given ratios between catheti." Rocky Mountain J. Math. 49 (8) 2779 - 2789, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2779
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