Equilateral triangles have minimal area and perimeter among all triangles containing a given circle in Hilbert planes (Q6076424)
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scientific article; zbMATH DE number 7741178
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equilateral triangles have minimal area and perimeter among all triangles containing a given circle in Hilbert planes |
scientific article; zbMATH DE number 7741178 |
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Equilateral triangles have minimal area and perimeter among all triangles containing a given circle in Hilbert planes (English)
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21 September 2023
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The main results that the author obtains are the following theorems: Theorem. Among all triangles containing a given circle C, the equilateral triangle for which C is its inscribed circle has the least area. Theorem. Among all triangles containing a given circle C, the equilateral triangle for which C is its inscribed circle has the least perimeter.
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absolute plane geometry
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Hilbert planes
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inscribed circles
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area
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perimeter
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