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The equidistant involution of the hyperbolic plane and two models of the Euclidean plane geometry
Authors:Miroslava Antić
Affiliation:1. Faculty of Mathematics, University of Belgrade, Studentski trg 16, pb. 550, 11000, Belgrade, Serbia
Abstract:In this paper we define an involution of the hyperbolic plane corresponding to an equidistant curve and a point of its base line that keeps a certain subset of the equidistant curves invariant. Based on this mapping we present two models of the Euclidean geometry in the hyperbolic plane.
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