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Napoleon's theorem with weights in \(n\)-space

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Publication:1282301
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DOI10.1023/A:1005052106498zbMath0920.51008MaRDI QIDQ1282301

Bernulf Weissbach, Horst Martini

Publication date: 13 September 1999

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

weightsTorricelli pointNapoleon's theorem\(n\)-space


Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04)


Related Items (9)

On the optimality of Napoleon triangles ⋮ The Fermat-Torricelli problem. I: A discrete gradient-method approach ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ Orthocentric simplices as the true generalizations of triangles ⋮ The open mouth theorem in higher dimensions ⋮ Pre-kites: simplices having a regular facet ⋮ On the Napoleon-Torricelli configuration in affine Cayley-Klein planes ⋮ Circle geometry in affine Cayley-Klein planes ⋮ The median triangle theorem as an entrance to certain issues in higher-dimensional geometry




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