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On Trigonometry in Beltrami–Klein Model of Hyperbolic Geometry

Abstract

Ungar (Math. Appl. 49:187–221, 2005) employed the binary operation of Einsteins velocity addition to introduce into hyperbolic geometry the concepts of vectors, angles and trigonometry in full analogy with Euclidean geometry. We use the isomorphism between R,and (-1,1),  in Beltrami–Klein model of hyperbolic geometry for similar results.

Link to the the paper:

http://link.springer.com/article/10.1007/s00025-013-0350-6

Journal Papers
Year: 
2013
Month/Season: 
Fall
Year: 
2013