Wallace's theorem and Miquel's theorem in higher dimensions (Q2380485)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wallace's theorem and Miquel's theorem in higher dimensions |
scientific article |
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Wallace's theorem and Miquel's theorem in higher dimensions (English)
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26 March 2010
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Vallace's theorem and Miquel's theorem were stated and proved in the nineteenth century. The authors obtain generalizations of these classical theorems in an arbitrary dimension. They replace circumcircles of triangles by circumspheres of simplices and use a special chain to prove the considered generalizations.
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Miquel's theorem
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Wallace's theorem
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Clifford chain
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