An elaboration on an example of H. G. Steiner (Q920399)
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scientific article; zbMATH DE number 4163624
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elaboration on an example of H. G. Steiner |
scientific article; zbMATH DE number 4163624 |
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An elaboration on an example of H. G. Steiner (English)
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1990
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If three distinct points P,Q,R are given in the plane, there are eight different triangles ABC with the property that the triangles BCP, CAQ, ABR are all equilateral (for a short proof see \textit{H. G. Steiner}, Math.-Phys. Semesterber. 5, 132-137 (1956; Zbl 0074.362)). The author investigates in detail the possibilities for the respective geometric positions of these triangles.
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equilateral triangles
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0.7237046957015991
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