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- Bicentric_quadrilateral abstract "In Euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both an incircle and a circumcircle. The radii and center of these circles are called the inradius and circumradius, and incenter and circumcenter respectively. From the definition it follows that bicentric quadrilaterals have all the properties of both tangential quadrilaterals and cyclic quadrilaterals. Other names for these quadrilaterals are chord-tangent quadrilateral and inscribed and circumscribed quadrilateral. It has also been called a double circle quadrilateral.If two circles, one within the other, are the incircle and the circumcircle of a bicentric quadrilateral, then every point on the circumcircle is the vertex of a bicentric quadrilateral having the same incircle and circumcircle. This was proved by the French mathematician Jean-Victor Poncelet (1788–1867).".
- Bicentric_quadrilateral thumbnail PonceletQuad.png?width=300.
- Bicentric_quadrilateral wikiPageID "23335118".
- Bicentric_quadrilateral wikiPageRevisionID "581250737".
- Bicentric_quadrilateral hasPhotoCollection Bicentric_quadrilateral.
- Bicentric_quadrilateral subject Category:Polygons.
- Bicentric_quadrilateral subject Category:Quadrilaterals.
- Bicentric_quadrilateral type Abstraction100002137.
- Bicentric_quadrilateral type Attribute100024264.
- Bicentric_quadrilateral type Figure113862780.
- Bicentric_quadrilateral type PlaneFigure113863186.
- Bicentric_quadrilateral type Polygon113866144.
- Bicentric_quadrilateral type Polygons.
- Bicentric_quadrilateral type Quadrilateral113879126.
- Bicentric_quadrilateral type Quadrilaterals.
- Bicentric_quadrilateral type Shape100027807.
- Bicentric_quadrilateral comment "In Euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both an incircle and a circumcircle. The radii and center of these circles are called the inradius and circumradius, and incenter and circumcenter respectively. From the definition it follows that bicentric quadrilaterals have all the properties of both tangential quadrilaterals and cyclic quadrilaterals.".
- Bicentric_quadrilateral label "Bicentric quadrilateral".
- Bicentric_quadrilateral sameAs m.0h3pmc9.
- Bicentric_quadrilateral sameAs Q282952.
- Bicentric_quadrilateral sameAs Q282952.
- Bicentric_quadrilateral sameAs Bicentric_quadrilateral.
- Bicentric_quadrilateral wasDerivedFrom Bicentric_quadrilateral?oldid=581250737.
- Bicentric_quadrilateral depiction PonceletQuad.png.
- Bicentric_quadrilateral isPrimaryTopicOf Bicentric_quadrilateral.
