Circle geometry in affine Cayley-Klein planes

DOI10.1007/s10998-008-8197-5zbMath1199.51013OpenAlexW2087334641MaRDI QIDQ1046749

Horst Martini, Margarita Spirova

Publication date: 28 December 2009

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-008-8197-5

zbMATH Keywords

circlesMinkowski planesimilaritiescomplex numbersdual numberspseudo-Euclidean planedouble numbersGalilean planeisotropic planegeneralized complex numbersLorentzian planeGaussian plane(affine) Cayley-Klein geometriesequiform transformations

Mathematics Subject Classification ID

Metric geometry (51F99) Elementary problems in Euclidean geometries (51M04) Euclidean geometries (general) and generalizations (51M05) Real and complex geometry (51M99)

Related Items

Kinematic mappings for Cayley-Klein geometries via Clifford algebras ⋮ Circle geometries modeled in projective lines over \(\mathbb R^2\)-rings ⋮ On elementary circle-geometry in Cayley-Klein planes ⋮ Burmester theory in Cayley-Klein planes with affine base

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