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https://research.matf.bg.ac.rs/handle/123456789/20| Title: | The equidistant involution of the hyperbolic plane and two models of the Euclidean plane geometry | Authors: | Antić, Miroslava | Affiliations: | Geometry | Keywords: | equidistant curve;Hyperbolic plane;involution;model of Euclidean geometry | Issue Date: | 1-Aug-2013 | Journal: | Journal of Geometry | 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. © 2013 Springer Basel. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/20 | ISSN: | 00472468 | DOI: | 10.1007/s00022-013-0161-7 |
| Appears in Collections: | Research outputs |
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