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- In Euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both an incircle and a circumcircle. The radii and centers of these...24 KB (3,735 words) - 01:17, 23 February 2024
- In geometry, a bicentric polygon is a tangential polygon (a polygon all of whose sides are tangent to an inner incircle) which is also cyclic — that is...8 KB (821 words) - 11:24, 3 November 2020
- hence bicentric, this shows that the maximal area a b c d {\displaystyle {\sqrt {abcd}}} occurs if and only if the tangential quadrilateral is bicentric. A...34 KB (4,964 words) - 22:53, 13 February 2023
- and cyclic, it is called bicentric. (All triangles are bicentric, for example.) The incentre and circumcentre of a bicentric polygon are not in general...7 KB (923 words) - 06:22, 5 October 2023
- exradius is maximum when the quadrilateral is also cyclic (and hence an ex-bicentric quadrilateral). These formulas explain why all parallelograms have infinite...10 KB (1,263 words) - 06:11, 15 March 2023
- Woo circles Circle-derived entities Apollonian gasket Arbelos Bicentric polygon Bicentric quadrilateral Coxeter's loxodromic sequence of tangent circles...9 KB (696 words) - 14:58, 22 March 2024
- cyclic polygon. A polygon that is both cyclic and tangential is called a bicentric polygon. A hypocycloid is a curve that is inscribed in a given circle...43 KB (5,913 words) - 13:58, 2 September 2024
- concentric. For the circumradius-to-inradius ratio for various n, see Bicentric polygon#Regular polygons. The same can be said of a regular polyhedron's...9 KB (895 words) - 21:44, 19 August 2024
- right angles – a right kite. A bicentric quadrilateral is a cyclic quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral...31 KB (4,082 words) - 00:12, 11 July 2024
- defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential...30 KB (2,669 words) - 23:13, 1 July 2024
- other are called bicentric polygons, so this special case of Poncelet's porism can be expressed more concisely by saying that every bicentric polygon is part...7 KB (859 words) - 15:12, 23 November 2023
- such that the products of the lengths of the opposing sides are equal. Bicentric quadrilateral: it is both tangential and cyclic. Orthodiagonal quadrilateral:...47 KB (6,829 words) - 03:23, 6 September 2024
- Poncelet–Steiner theorem Polygon triangulation Pons asinorum Quadrilateral Bicentric quadrilateral Cyclic quadrilateral Equidiagonal quadrilateral Kite (geometry)...13 KB (910 words) - 14:17, 27 June 2024
- circumscribe one circle and are inscribed in another circle, they are bicentric quadrilaterals (actually tricentric, as they also have a third circle...37 KB (3,724 words) - 02:05, 10 September 2024
- }{2}}\right)}},} in which α and γ are two opposite angles. The four sides of a bicentric quadrilateral are the four solutions of a quartic equation parametrized...6 KB (890 words) - 18:19, 18 April 2024
- America. Third Brocard Point at MathWorld Bicentric Pairs of Points and Related Triangle Centers Bicentric Pairs of Points Bicentric Points at MathWorld...8 KB (1,193 words) - 05:39, 19 November 2023
- similar remarks apply. The first and second Brocard points are one of many bicentric pairs of points, pairs of points defined from a triangle with the property...32 KB (3,896 words) - 10:47, 26 August 2024
- isosceles trapezoid is cyclic, an isosceles tangential trapezoid is a bicentric quadrilateral. That is, it has both an incircle and a circumcircle. If...7 KB (902 words) - 19:17, 10 May 2023
- pentagon Salinon Semicircle Squircle Steiner chain Tangential quadrilateral Bicentric quadrilateral Borromean rings Crescent Vesica piscis Arc Caustic Cissoid...47 KB (3,580 words) - 17:01, 29 June 2024
- coordinates ξ and η can be expressed as elliptic functions of u. The bicentric problem has a constant of motion, namely, r 1 2 r 2 2 d θ 1 d t d θ 2...9 KB (1,971 words) - 11:35, 14 March 2024
- From bi- + -centric. Rhymes: -ɛntɹɪk bicentric (comparative more bicentric, superlative most bicentric) (not comparable) Having two centres. (comparable