The orthocentric simplex as an extreme simplex

DOI10.2140/pjm.1975.56.97zbMath0303.52004OpenAlexW2048875085MaRDI QIDQ1216630

Leon Gerber

Publication date: 1975

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102906585

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (18)

Associated and Skew-Orthologic Simplexes ⋮ Towards anisotropic cosmology in group field theory ⋮ More characterizations of certain special families of simplices ⋮ An inequality for a simplex and its applications ⋮ Three geometric inequalities for a simplex ⋮ Anothern-Dimensional Generalization of Pompeiu’s Theorem ⋮ Orthocentric simplices as the true generalizations of triangles ⋮ Pompeiu-like theorems for the medians of a simplex ⋮ Height and Weber's class number problem ⋮ Inequalities for an \(n\)-simplex in spherical space \(S_n (1)\) ⋮ Recovering a circumscriptible tetrahedron from its face areas ⋮ On One Method of Proving Inequalities in Automated Way ⋮ Inequalities for two simplices ⋮ The median triangle theorem as an entrance to certain issues in higher-dimensional geometry ⋮ Inequalities for any point and two simplices ⋮ A fast algorithm for Gröbner basis conversion and its applications ⋮ The existence of triangles, tetrahedra, and higher-dimensional simplices with prescribed exradii ⋮ Orthocentric simplices and their centers

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