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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 wikiPageLength "9931".
- Ex-tangential_quadrilateral wikiPageOutDegree "43".
- Ex-tangential_quadrilateral wikiPageRevisionID "646121125".
- Ex-tangential_quadrilateral wikiPageWikiLink Absolute_value.
- Ex-tangential_quadrilateral wikiPageWikiLink Angle.
- Ex-tangential_quadrilateral wikiPageWikiLink Angle_bisector.
- Ex-tangential_quadrilateral wikiPageWikiLink Arithmetic_progression.
- Ex-tangential_quadrilateral wikiPageWikiLink Augustus_De_Morgan.
- Ex-tangential_quadrilateral wikiPageWikiLink Bicentric_quadrilateral.
- Ex-tangential_quadrilateral wikiPageWikiLink Bisection.
- Ex-tangential_quadrilateral wikiPageWikiLink Bretschneiders_formula.
- Ex-tangential_quadrilateral wikiPageWikiLink Category:Polygons.
- Ex-tangential_quadrilateral wikiPageWikiLink Category:Quadrilaterals.
- Ex-tangential_quadrilateral wikiPageWikiLink Circle.
- Ex-tangential_quadrilateral wikiPageWikiLink Circumcenter.
- Ex-tangential_quadrilateral wikiPageWikiLink Circumcircle.
- Ex-tangential_quadrilateral wikiPageWikiLink Circumradius.
- Ex-tangential_quadrilateral wikiPageWikiLink Circumscribed_circle.
- Ex-tangential_quadrilateral wikiPageWikiLink Complete_quadrangle.
- Ex-tangential_quadrilateral wikiPageWikiLink Concurrent_lines.
- Ex-tangential_quadrilateral wikiPageWikiLink Convex_polygon.
- Ex-tangential_quadrilateral wikiPageWikiLink Cyclic_quadrilateral.
- Ex-tangential_quadrilateral wikiPageWikiLink Daniel_Pedoe.
- Ex-tangential_quadrilateral wikiPageWikiLink Euclidean_geometry.
- Ex-tangential_quadrilateral wikiPageWikiLink If_and_only_if.
- Ex-tangential_quadrilateral wikiPageWikiLink Infinity.
- Ex-tangential_quadrilateral wikiPageWikiLink Internal_and_external_angle.
- Ex-tangential_quadrilateral wikiPageWikiLink Jakob_Steiner.
- Ex-tangential_quadrilateral wikiPageWikiLink Kite_(geometry).
- Ex-tangential_quadrilateral wikiPageWikiLink Maxima_and_minima.
- Ex-tangential_quadrilateral wikiPageWikiLink Necessary_and_sufficient_condition.
- Ex-tangential_quadrilateral wikiPageWikiLink Necessity_and_sufficiency.
- Ex-tangential_quadrilateral wikiPageWikiLink Parallelogram.
- Ex-tangential_quadrilateral wikiPageWikiLink Parallelograms.
- Ex-tangential_quadrilateral wikiPageWikiLink Pitot_theorem.
- Ex-tangential_quadrilateral wikiPageWikiLink Quadratic_equation.
- Ex-tangential_quadrilateral wikiPageWikiLink Quadrilateral.
- Ex-tangential_quadrilateral wikiPageWikiLink Rectangle.
- Ex-tangential_quadrilateral wikiPageWikiLink Rhombus.
- Ex-tangential_quadrilateral wikiPageWikiLink Square.
- Ex-tangential_quadrilateral wikiPageWikiLink Square_(geometry).
- Ex-tangential_quadrilateral wikiPageWikiLink Supplementary_angle.
- Ex-tangential_quadrilateral wikiPageWikiLink Supplementary_angles.
- Ex-tangential_quadrilateral wikiPageWikiLink Tangential_quadrilateral.
- Ex-tangential_quadrilateral wikiPageWikiLink File:Ex-tangential_quadrilateral.png.
- Ex-tangential_quadrilateral wikiPageWikiLinkText "Ex-tangential quadrilateral".
- Ex-tangential_quadrilateral wikiPageWikiLinkText "Urquhart's theorem".
- Ex-tangential_quadrilateral wikiPageWikiLinkText "ex-bicentric quadrilateral".
- Ex-tangential_quadrilateral wikiPageWikiLinkText "ex-bicentric".
- Ex-tangential_quadrilateral wikiPageWikiLinkText "ex-tangential quadrilateral".
- Ex-tangential_quadrilateral wikiPageWikiLinkText "ex-tangential".
- Ex-tangential_quadrilateral hasPhotoCollection Ex-tangential_quadrilateral.
- Ex-tangential_quadrilateral wikiPageUsesTemplate Template:Reflist.
- Ex-tangential_quadrilateral wikiPageUsesTemplate Template:Rp.
- Ex-tangential_quadrilateral subject Category:Polygons.
- Ex-tangential_quadrilateral subject Category:Quadrilaterals.
- Ex-tangential_quadrilateral hypernym Quadrilateral.
- Ex-tangential_quadrilateral type Bone.
- Ex-tangential_quadrilateral type Polytope.
- 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 Внеописанный_четырёхугольник.
- Ex-tangential_quadrilateral sameAs வெளி-தொடு_நாற்கரம்.
- Ex-tangential_quadrilateral sameAs Q5419140.
- Ex-tangential_quadrilateral sameAs Q5419140.
- Ex-tangential_quadrilateral wasDerivedFrom Ex-tangential_quadrilateral?oldid=646121125.
- Ex-tangential_quadrilateral depiction Ex-tangential_quadrilateral.png.
- Ex-tangential_quadrilateral isPrimaryTopicOf Ex-tangential_quadrilateral.