Orthocentric simplices and their centers

DOI10.1007/BF03323029zbMath1084.51008arXivmath/0508080MaRDI QIDQ2581110

Mowaffaq Hajja, Horst Martini, Allan L. Edmonds

Publication date: 13 January 2006

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508080

zbMATH Keywords

orthocentric simplex

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Elementary problems in Euclidean geometries (51M04) Euclidean geometries (general) and generalizations (51M05) Euclidean analytic geometry (51N20)

Related Items (14)

More characterizations of certain special families of simplices ⋮ Concurrence of tetrahedral cevians associated with triangle centers ⋮ Orthocentric simplices as the true generalizations of triangles ⋮ The open mouth theorem, or the scissors lemma, for orthocentric tetrahedra ⋮ The open mouth theorem in higher dimensions ⋮ Pre-kites: simplices having a regular facet ⋮ Concurrency of the altitudes of a triangle ⋮ The sum of measures of the angles of a simplex ⋮ On the circumradius of a special class of \(n\)-simplices ⋮ Impurity of the corner angles in certain special families of simplices ⋮ The pons asinorum and related theorems for tetrahedra ⋮ Kites as the only doubly special simplices ⋮ Geometry of simplices in Minkowski spaces ⋮ Expected volumes of Gaussian polytopes, external angles, and multiple order statistics

Cites Work

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• On the feuerbach-spheres of an orthocentric simplex
• Über die Feuerbachschen Kugeln mehrdimensionaler orthozentrischer Simplexe

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