The notable configuration of inscribed equilateral triangles in a triangle (Q699877)
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scientific article; zbMATH DE number 1807974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The notable configuration of inscribed equilateral triangles in a triangle |
scientific article; zbMATH DE number 1807974 |
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The notable configuration of inscribed equilateral triangles in a triangle (English)
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25 September 2002
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The author considers a set of three inscribed equilateral triangles in a given triangle \(\triangle ABC\) with a side parallel to each one of the sides of \(\triangle ABC\). He studies the properties of the configuration formed by the vertices of all four triangles, the centers and the side mid-points of the equilateral triangles. In particular, he obtains all equal simple ratios of three collinear points in this configuration.
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triangle geometry
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simple ratio
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