The Fermat-Torricelli point and isosceles tetrahedra (Q1321697)
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scientific article; zbMATH DE number 558738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Fermat-Torricelli point and isosceles tetrahedra |
scientific article; zbMATH DE number 558738 |
Statements
The Fermat-Torricelli point and isosceles tetrahedra (English)
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11 September 1994
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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.
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Fermat point
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isosceles tetrahedra
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