The Hyperbolic Ptolemy’s Theorem in the Poincaré Ball Model of Analytic Hyperbolic Geometry

Ptolemy’s theorem in Euclidean geometry, named after the Greek astronomer and mathematician Claudius Ptolemy, is well known. We translate Ptolemy’s theorem from analytic Euclidean geometry into the Poincaré ball model of analytic hyperbolic geometry, which is based on the Möbius addition and its ass...

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Bibliographic Details
Main Author: Abraham A. Ungar
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/8/1487