Three-reflection theorems in the hyperbolic plane

Silvia Pianta; Mario Marchi; Helmut Karzel

doi:10.4399/97888548357199

Three-reflection theorems in the hyperbolic plane

Silvia Pianta, Mario Marchi, Helmut Karzel

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

Abstract

In this paper we study a generalization of the classical non-Euclidean hyperbolic geometry, without assuming for the absolute plane any condition about continuity or the Archimedes' axiom. In this general frame we extend the validity of the fundamental Three-reflection Theorems to the case of any three distinct lines which are pairwise hyperbolic parallel and have a transversal.

Lingua originale	English
pagine (da-a)	127-140
Numero di pagine	14
Rivista	QUADERNI DI MATEMATICA
Volume	Trends in Incidence and Galois Geometries: a Tribute to Giuseppe Tallini (F. Mazzocca, N. Melone and D. Olanda eds.)
DOI	https://doi.org/10.4399/97888548357199
Stato di pubblicazione	Pubblicato - 2009

Keywords

hyperbolic plane
line-reflection

Accesso al documento

10.4399/97888548357199

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