The problems of Fermat and Lemoine (Q782898)
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scientific article; zbMATH DE number 7225567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The problems of Fermat and Lemoine |
scientific article; zbMATH DE number 7225567 |
Statements
The problems of Fermat and Lemoine (English)
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29 July 2020
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Given a triangle, Fermat's problem seeks to find the internal point such that the sum of its distances to the vertices of the triangle is minimal. This paper revisits this problem relating it to other classical geometrical problems and results such as Ptolemy's lemma, Napoleon's theorem or Lemoine's problem.
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Fermat's problem
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Lemoine's problem
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Napoleon's theorem
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Ptolemy's lemma
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