Pairs of Pythagorean triangles with given ratios between catheti

DOI10.1216/RMJ-2019-49-8-2779zbMath1471.11123arXiv1907.01229OpenAlexW3004042145WikidataQ114059941 ScholiaQ114059941MaRDI QIDQ2293675

Maciej Ulas, Mariusz Skałba

Publication date: 5 February 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01229

zbMATH Keywords

Pythagorean tripleselliptic curvesPythagorean trianglescathetus ratiosrational points of elliptic curves.

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

Pairs of equiperimeter and equiareal triangles whose sides are perfect squares ⋮ Some diophantine problems concerning a pair of rational triangles with a common circumradius

Uses Software

• Magma

Cites Work

• The Magma algebra system. I: The user language
• On a problem of John Leech
• Ideal 9th-Order Multigrades and Letac's Elliptic Curve

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