The Fermat-Torricelli point and isosceles tetrahedra
type: Item
instance of: scholarly article
title: The Fermat-Torricelli point and isosceles tetrahedra
zbMATH Open document ID: 0795.51006
DOI: 10.1007/BF01228057
author: Y. S. Kupitz
author: Horst Martini
published in: Journal of Geometry
publication date: 1994-09-11T00:00:00Z
review text: The Fermat-Torricelli point of a triangle \(ABC\) is the point \(P\) such that \(AP+BP+CP\) is as small as possible. The corresponding point for a tetrahedron has been considered by several authors. In the present paper the authors summarize the known facts about this point, and prove some new results. In particular, they consider isosceles tetrahedra, that is, those in which the lengths of opposite edges are equal.
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 51M04
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 51M16
zbMATH DE Number: 558738
zbMATH Keywords: Fermat point
zbMATH Keywords: isosceles tetrahedra
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 558738