Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces

DOI10.1007/978-3-319-78434-2_13zbMath1415.51030arXiv1602.06144OpenAlexW2964326129MaRDI QIDQ1740481

Horst Martini, Undine Leopold

Publication date: 30 April 2019

Full work available at URL: https://arxiv.org/abs/1602.06144

zbMATH Keywords

normalitynormed spaceisosceles orthogonalityBirkhoff orthogonalityMonge pointcircumsphereEuler lineFeuerbach sphereMinkowskian simplexvertex centroidMannheim's theorem

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Geometry and structure of normed linear spaces (46B20) Polyhedra and polytopes; regular figures, division of spaces (51M20) Convex sets in (2) dimensions (including convex curves) (52A10) 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) Euclidean geometries (general) and generalizations (51M05)

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