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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 wikiPageLength "21338".
- Bicentric_quadrilateral wikiPageOutDegree "95".
- Bicentric_quadrilateral wikiPageRevisionID "681432433".
- Bicentric_quadrilateral wikiPageWikiLink Angle.
- Bicentric_quadrilateral wikiPageWikiLink Area.
- Bicentric_quadrilateral wikiPageWikiLink Bicentric_polygon.
- Bicentric_quadrilateral wikiPageWikiLink Brahmaguptas_formula.
- Bicentric_quadrilateral wikiPageWikiLink Category:Polygons.
- Bicentric_quadrilateral wikiPageWikiLink Category:Quadrilaterals.
- Bicentric_quadrilateral wikiPageWikiLink Chord_(geometry).
- Bicentric_quadrilateral wikiPageWikiLink Circumcenter.
- Bicentric_quadrilateral wikiPageWikiLink Circumcircle.
- Bicentric_quadrilateral wikiPageWikiLink Circumradius.
- Bicentric_quadrilateral wikiPageWikiLink Circumscribed_circle.
- Bicentric_quadrilateral wikiPageWikiLink Collinear.
- Bicentric_quadrilateral wikiPageWikiLink Collinearity.
- Bicentric_quadrilateral wikiPageWikiLink Concentric.
- Bicentric_quadrilateral wikiPageWikiLink Convex_polygon.
- Bicentric_quadrilateral wikiPageWikiLink Cyclic_quadrilateral.
- Bicentric_quadrilateral wikiPageWikiLink Diagonal.
- Bicentric_quadrilateral wikiPageWikiLink Euclidean_geometry.
- Bicentric_quadrilateral wikiPageWikiLink Eulers_theorem_in_geometry.
- Bicentric_quadrilateral wikiPageWikiLink Ex-tangential_quadrilateral.
- Bicentric_quadrilateral wikiPageWikiLink If_and_only_if.
- Bicentric_quadrilateral wikiPageWikiLink Incenter.
- Bicentric_quadrilateral wikiPageWikiLink Incircle.
- Bicentric_quadrilateral wikiPageWikiLink Incircle_and_excircles_of_a_triangle.
- Bicentric_quadrilateral wikiPageWikiLink Inequality_(mathematics).
- Bicentric_quadrilateral wikiPageWikiLink Inradius.
- Bicentric_quadrilateral wikiPageWikiLink Jean-Victor_Poncelet.
- Bicentric_quadrilateral wikiPageWikiLink Leonard_Carlitz.
- Bicentric_quadrilateral wikiPageWikiLink Murray_S._Klamkin.
- Bicentric_quadrilateral wikiPageWikiLink Necessary_and_sufficient_condition.
- Bicentric_quadrilateral wikiPageWikiLink Necessity_and_sufficiency.
- Bicentric_quadrilateral wikiPageWikiLink Newton_line.
- Bicentric_quadrilateral wikiPageWikiLink Nicolas_Fuss.
- Bicentric_quadrilateral wikiPageWikiLink Nicolaus_Fuss.
- Bicentric_quadrilateral wikiPageWikiLink Orthodiagonal_quadrilateral.
- Bicentric_quadrilateral wikiPageWikiLink Parameshvara.
- Bicentric_quadrilateral wikiPageWikiLink Perpendicular.
- Bicentric_quadrilateral wikiPageWikiLink Pitot_theorem.
- Bicentric_quadrilateral wikiPageWikiLink Pitots_theorem.
- Bicentric_quadrilateral wikiPageWikiLink Poncelets_closure_theorem.
- Bicentric_quadrilateral wikiPageWikiLink Quadratic_equation.
- Bicentric_quadrilateral wikiPageWikiLink Quadrilateral.
- Bicentric_quadrilateral wikiPageWikiLink Quartic_function.
- Bicentric_quadrilateral wikiPageWikiLink Real_number.
- Bicentric_quadrilateral wikiPageWikiLink Rectangle.
- Bicentric_quadrilateral wikiPageWikiLink Right_angle.
- Bicentric_quadrilateral wikiPageWikiLink Right_kite.
- Bicentric_quadrilateral wikiPageWikiLink Semiperimeter.
- Bicentric_quadrilateral wikiPageWikiLink Square.
- Bicentric_quadrilateral wikiPageWikiLink Square_(geometry).
- Bicentric_quadrilateral wikiPageWikiLink Supplementary_angles.
- Bicentric_quadrilateral wikiPageWikiLink Tangent.
- Bicentric_quadrilateral wikiPageWikiLink Tangential_quadrilateral.
- Bicentric_quadrilateral wikiPageWikiLink Tangential_trapezoid.
- Bicentric_quadrilateral wikiPageWikiLink Trigonometric_functions.
- Bicentric_quadrilateral wikiPageWikiLink Vertex_(geometry).
- Bicentric_quadrilateral wikiPageWikiLink File:Bicentric_kite_001.svg.
- Bicentric_quadrilateral wikiPageWikiLink File:Bicentric_quadrilateral.png.
- Bicentric_quadrilateral wikiPageWikiLink File:Bicentric_quadrilateral_2.png.
- Bicentric_quadrilateral wikiPageWikiLink File:PonceletQuad.png.
- Bicentric_quadrilateral wikiPageWikiLinkText "Bicentric quadrilateral".
- Bicentric_quadrilateral wikiPageWikiLinkText "Bicentric quadrilateral#Carlitz' identity".
- Bicentric_quadrilateral wikiPageWikiLinkText "Bicentric quadrilateral#Fuss' theorem".
- Bicentric_quadrilateral wikiPageWikiLinkText "Carlitz' identity for bicentric quadrilaterals".
- Bicentric_quadrilateral wikiPageWikiLinkText "Fuss' theorem for bicentric quadrilaterals".
- Bicentric_quadrilateral wikiPageWikiLinkText "Fuss' theorem".
- Bicentric_quadrilateral wikiPageWikiLinkText "Fuss's theorem".
- Bicentric_quadrilateral wikiPageWikiLinkText "a quartic equation parametrized by the semiperimeter, the inradius, and the circumradius".
- Bicentric_quadrilateral wikiPageWikiLinkText "bicentric quadrilateral".
- Bicentric_quadrilateral wikiPageWikiLinkText "bicentric".
- Bicentric_quadrilateral hasPhotoCollection Bicentric_quadrilateral.
- Bicentric_quadrilateral wikiPageUsesTemplate Template:Commons_category.
- Bicentric_quadrilateral wikiPageUsesTemplate Template:Reflist.
- Bicentric_quadrilateral wikiPageUsesTemplate Template:Rp.
- Bicentric_quadrilateral subject Category:Polygons.
- Bicentric_quadrilateral subject Category:Quadrilaterals.
- Bicentric_quadrilateral hypernym Quadrilateral.
- Bicentric_quadrilateral type Bone.
- Bicentric_quadrilateral type Polytope.
- 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 Bisentrinen_nelikulmio.
- Bicentric_quadrilateral sameAs 双心四角形.
- Bicentric_quadrilateral sameAs m.0h3pmc9.
- Bicentric_quadrilateral sameAs Patrulater_bicentric.
- Bicentric_quadrilateral sameAs Bicentrični_štirikotnik.
- Bicentric_quadrilateral sameAs Тетивно-тангентни_четвороугао.
- Bicentric_quadrilateral sameAs இரு_மைய_நாற்கரம்.
- Bicentric_quadrilateral sameAs Q282952.
- Bicentric_quadrilateral sameAs Q282952.
- Bicentric_quadrilateral wasDerivedFrom Bicentric_quadrilateral?oldid=681432433.
- Bicentric_quadrilateral depiction PonceletQuad.png.
- Bicentric_quadrilateral isPrimaryTopicOf Bicentric_quadrilateral.