Definition of Bicentric. Meaning of Bicentric. Synonyms of Bicentric

- In Euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both an incircle and a cir****circle. The radii and centers of these...
- 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...
- and cyclic, it is called bicentric. (All triangles are bicentric, for example.) The incentre and cir****centre of a bicentric polygon are not in general...
- hence bicentric, this shows that the maximal area abcd{\displaystyle {\sqrt {abcd}}} occurs if and only if the tangential quadrilateral is bicentric. A trigonometric...
- exradius is maximum when the quadrilateral is also cyclic (and hence an ex-bicentric quadrilateral). These formulas explain why all parallelograms have infinite...
- America. Third Brocard Point at MathWorld Bicentric Pairs of Points and Related Triangle Centers Bicentric Pairs of Points Bicentric Points at MathWorld...
- 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...
- defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a cir****scribed circle) and tangential...
- 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...
- 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...