Tangent polygon
A tangent polygon , tangent polygon or tangent n-gon is a special polygon in the mathematical field of plane geometry . These polygons are characterized by the fact that they have an inscribed circle .
definition
A tangent polygon is a polygon whose sides are tangents of a circle . This circle is called an inscribed circle .
Examples
- All triangles have an inscribed circle, so they are tangent triangles.
- All regular polygons have an inscribed circle and are therefore tangent polygons .
- Squares (as regular quadrilaterals) and rhombuses are tangent quadrilaterals .
- Tangent pentagons are found, for example, in the Catalan solids , namely as the boundary surfaces of the pentagonicosite tetrahedron and the pentagon hexacontahedron .
See also
Individual evidence
- ↑ Eric W. Weisstein : Tangential Polygon . In: MathWorld (English).