Ceva's and Menelaus' theorems in projective-metric spaces

DOI10.1007/s00022-019-0495-xzbMath1428.51010OpenAlexW2956334624MaRDI QIDQ2329374

Árpád Kurusa

Publication date: 17 October 2019

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

Full work available at URL: https://doi.org/10.1007/s00022-019-0495-x

zbMATH Keywords

triangleMinkowski geometryHilbert geometryellipsesprojective metricssize-ratio

Mathematics Subject Classification ID

Minkowski geometries in nonlinear incidence geometry (51B20) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (1)

On Menelaus' and Ceva's theorems in \textbf{Nil} geometry

Cites Work

• Ceva's and Menelaus' theorems characterize the hyperbolic geometry among Hilbert geometries
• Hilbert's fourth problem. I
• Support Theorems for Totally Geodesic Radon Transforms on Constant Curvature Spaces
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