Similar metric characterizations of tangential and extangential quadrilaterals (Q2880798)
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scientific article; zbMATH DE number 6024854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Similar metric characterizations of tangential and extangential quadrilaterals |
scientific article; zbMATH DE number 6024854 |
Statements
17 April 2012
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convex quadrilateral
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excircle
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Similar metric characterizations of tangential and extangential quadrilaterals (English)
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A convex quadrilateral is called extangential if it possesses an excircle. This is a circle which is tangent at the outside of the quadrilateral to the extensions of its four sides. In the paper under review five necessary and sufficient conditions for a convex quadrilateral to be extangential are proved. Some historical remarks about such a kind of quadrilaterals are also given.
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