An analogue of Napoleon's theorem in the hyperbolic plane (Q2764787)
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scientific article; zbMATH DE number 1690972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analogue of Napoleon's theorem in the hyperbolic plane |
scientific article; zbMATH DE number 1690972 |
Statements
2001
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attracting fixed point
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Napoleon's theorem
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spaces of triangles
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An analogue of Napoleon's theorem in the hyperbolic plane (English)
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The author deals with a slight variation of Napoleon's theorem. More precisely, she shows that, for a given \(d\), the spaces of triangles (modulo orientation preserving isometry) under this map has a fixed point (an equilateral triangle whose side length can be written down explicitly in terms of \(d\)), and furthermore, that this fixed point is attracting.
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