A note on some generalizations of Monge's theorem

zbMath1484.52002arXiv2104.06343MaRDI QIDQ5065123

Marek Lassak

Publication date: 18 March 2022

Full work available at URL: https://arxiv.org/abs/2104.06343

zbMATH Keywords

sphereEuclidean spacehyperbolic spaceMenelaus' theoremMonge's theorem

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Ceva's and Menelaus' theorems for higher-dimensional simplexes
• Menelaus' ``Spherics. Early translation and al-Māhānī/al-Harawī's version
• The theorem of Menelaus in axiomatic geometry
• Monge’s theorem in many dimensions
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