Lambert or Saccheri quadrilaterals as single primitive notions for plane hyperbolic geometry

DOI10.1016/J.JMAA.2008.05.076zbMath1156.51015OpenAlexW2005679796MaRDI QIDQ936611

Victor V. Pambuccian

Publication date: 19 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.076

zbMATH Keywords

axiomatizationhyperolic geometryLambert quadrilateralSaccheri quadrilateral

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Elementary problems in hyperbolic and elliptic geometries (51M09)

Cites Work

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• Projective-type axioms for the hyperbolic plane
• Characterisations of hyperbolic motions by lineations
• Why are surjective lineations of the Archimedean hyperbolic plane motions?
• A new characteristic of Möbius transformations in hyperbolic geometry
• The complexity of plane hyperbolic incidence geometry is ????
• A logical look at characterizations of geometric transformations under mild hypotheses

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