On elementary circle-geometry in Cayley-Klein planes

DOI10.1007/s13366-011-0060-8zbMath1236.51002OpenAlexW2023201921MaRDI QIDQ664206

Gunter Weiss, Marco Hamann

Publication date: 29 February 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0060-8

zbMATH Keywords

stereographic projectionLaguerreMinkowskiplanar Cayley-Klein geometriesBlaschke cylindercircle-geometries of Möbiusgnomonic projectionMiquel's configurationquasi-elliptic planequasi-hyperbolic plane

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15) Elementary problems in hyperbolic and elliptic geometries (51M09) Algebraization in linear incidence geometry (51A25)

Related Items (1)

Kinematic mappings for Cayley-Klein geometries via Clifford algebras

Cites Work

• Interne Kennzeichnung projektiver Abbildungen auf Quadriken
• Circle geometry in affine Cayley-Klein planes
• Kreisgeometrie in der isotropen Ebene
• Zum Büschelsatz in der Geometrie der Algebren
• Chains in the projective line
• Computational line geometry
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