Propellers in affine Cayley-Klein planes

DOI10.1007/s00022-009-1971-5zbMath1179.51008OpenAlexW1984148040MaRDI QIDQ1039862

Margarita Spirova

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00022-009-1971-5

zbMATH Keywords

Minkowski planecomplex numbersdual numberspseudo-Euclidean planedouble numbersGalilean planeisotropic planesimilar trianglesCayley-Klein geometriesgeneralized complex numbersLorentzian planeGaussian planePropeller theorem

Mathematics Subject Classification ID

Metric geometry (51F99) Elementary problems in Euclidean geometries (51M04) Euclidean geometries (general) and generalizations (51M05) Analytic geometry with other transformation groups (51N25)

Related Items (6)

Unnamed Item ⋮ One-parameter homothetic motions and Euler-Savary formula in generalized complex number plane \(\mathbb C_J\) ⋮ One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\) ⋮ Burmester theory in Cayley-Klein planes with affine base ⋮ On the Napoleon-Torricelli configuration in affine Cayley-Klein planes ⋮ Circle geometry in affine Cayley-Klein planes

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