Ceva's and Menelaus' theorems for higher-dimensional simplexes

DOI10.1007/S00022-019-0468-0OpenAlexW2911539712MaRDI QIDQ669613

Akira Ushijima

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1007/s00022-019-0468-0

zbMATH Keywords

spherical geometryhyperbolic geometrysimplexCeva's theoremMenelaus' theorem

Mathematics Subject Classification ID

Euclidean analytic geometry (51N20) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (2)

A note on some generalizations of Monge's theorem ⋮ Dirichlet polyhedra for simplex groups of spherical, Euclidean or hyperbolic spaces

Cites Work

• Unnamed Item
• On the laws of trigonometries of two-point homogeneous spaces
• On hyperbolic analogues of some classical theorems in spherical geometry
• Cyclic polygons in classical geometry
• Foundations of Hyperbolic Manifolds
• On the Steiner–Routh Theorem for Simplices

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