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VOL. 5 | 2004 The Hyperbolic Triangle Defect
Abraham A. Ungar

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Abstract

The hyperbolic trigonometry, fully analogous to the common Euclidean trigonometry, is presented and employed to calculate the hyperbolic triangle defect in the Poincaré ball model of $n$-dimensional hyperbolic geometry. It is shown that hyperbolic trigonometry allows the hyperbolic triangle defect to be expressed in terms of the triangle hyperbolic side lengths by a remarkably elegant identity.

Information

Published: 1 January 2004
First available in Project Euclid: 12 June 2015

zbMATH: 1062.51013
MathSciNet: MR2082308

Digital Object Identifier: 10.7546/giq-5-2004-225-236

Rights: Copyright © 2004 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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