The Hyperbolic Pythagorean Theorem in the Poincare Disc Model of Hyperbolic Geometry

DOI10.2307/2589022zbMath1004.51025OpenAlexW4249711854WikidataQ114042718 ScholiaQ114042718MaRDI QIDQ2757405

Abraham A. Ungar

Publication date: 26 November 2001

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2589022

zbMATH Keywords

Poincaré disc modelplane hyperbolic geometrytheorem of Pythagoras

Mathematics Subject Classification ID

Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (6)

A characterization of Möbius transformations by use of hyperbolic regular polygons ⋮ Seeing the Möbius disc-transformation group like never before. ⋮ Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on \(K3\) surfaces ⋮ Einstein's velocity addition law and its hyperbolic geometry ⋮ The hyperbolic derivative in the Poincaré ball model of hyperbolic geometry ⋮ Hyperbolic trigonometry in the Einstein relativistic velocity model of hyperbolic geometry

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