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- Ex-tangential_quadrilateral abstract "In Euclidean geometry, an ex-tangential quadrilateral is a convex quadrilateral where the extensions of all four sides are tangent to a circle outside the quadrilateral. It has also been called an exscriptible quadrilateral. The circle is called its excircle, its radius the exradius and its center the excenter (E in the figure). The excenter lies at the intersection of six angle bisectors. These are the internal angle bisectors at two opposite vertex angles, the external angle bisectors (supplementary angle bisectors) at the other two vertex angles, and the external angle bisectors at the angles formed where the extensions of opposite sides intersect (see the figure to the right, where four of these six are dotted line segments). The ex-tangential quadrilateral is closely related to the tangential quadrilateral (where the four sides are tangent to a circle).Another name for an excircle is an escribed circle, but that name has also been used for a circle tangent to one side of a convex quadrilateral and the extensions of the adjacent two sides. In that context all convex quadrilaterals have four escribed circles, but they can at most have one excircle.".
- Ex-tangential_quadrilateral thumbnail Ex-tangential_quadrilateral.png?width=300.
- Ex-tangential_quadrilateral wikiPageID "32791638".
- Ex-tangential_quadrilateral wikiPageRevisionID "548383728".
- Ex-tangential_quadrilateral hasPhotoCollection Ex-tangential_quadrilateral.
- Ex-tangential_quadrilateral subject Category:Polygons.
- Ex-tangential_quadrilateral subject Category:Quadrilaterals.
- Ex-tangential_quadrilateral type Abstraction100002137.
- Ex-tangential_quadrilateral type Attribute100024264.
- Ex-tangential_quadrilateral type Figure113862780.
- Ex-tangential_quadrilateral type PlaneFigure113863186.
- Ex-tangential_quadrilateral type Polygon113866144.
- Ex-tangential_quadrilateral type Polygons.
- Ex-tangential_quadrilateral type Quadrilateral113879126.
- Ex-tangential_quadrilateral type Quadrilaterals.
- Ex-tangential_quadrilateral type Shape100027807.
- Ex-tangential_quadrilateral comment "In Euclidean geometry, an ex-tangential quadrilateral is a convex quadrilateral where the extensions of all four sides are tangent to a circle outside the quadrilateral. It has also been called an exscriptible quadrilateral. The circle is called its excircle, its radius the exradius and its center the excenter (E in the figure). The excenter lies at the intersection of six angle bisectors.".
- Ex-tangential_quadrilateral label "Ex-tangential quadrilateral".
- Ex-tangential_quadrilateral sameAs m.0h3q9b3.
- Ex-tangential_quadrilateral sameAs Q5419140.
- Ex-tangential_quadrilateral sameAs Q5419140.
- Ex-tangential_quadrilateral sameAs Ex-tangential_quadrilateral.
- Ex-tangential_quadrilateral wasDerivedFrom Ex-tangential_quadrilateral?oldid=548383728.
- Ex-tangential_quadrilateral depiction Ex-tangential_quadrilateral.png.
- Ex-tangential_quadrilateral isPrimaryTopicOf Ex-tangential_quadrilateral.