The equidistant involution of the hyperbolic plane and two models of the Euclidean plane geometry

DOI10.1007/S00022-013-0161-7zbMath1314.51007OpenAlexW2067965442MaRDI QIDQ375377

Miroslava Antić

Publication date: 30 October 2013

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-013-0161-7

zbMATH Keywords

hyperbolic planeequidistant curvehyperbolic involutionmodel of Euclidean geometry

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15) Euclidean geometries (general) and generalizations (51M05) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (1)

Does another Euclidean plane exist other than the parasphere?

Cites Work

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• Kreisgeometrie und konforme Interpretation des mehrdimensionalen metrischen Raumes
• Introduction to hyperbolic geometry
• Inversion auf der Idealebene der Bachmannschen Metrischen Ebene

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