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...
- 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...
- 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...
- exradius is maximum when the quadrilateral is also cyclic (and hence an ex-bicentric quadrilateral). These formulas explain why all parallelograms have infinite...
- 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...
- such that the products of the lengths of the opposing sides are equal. Bicentric quadrilateral: it is both tangential and cyclic. Orthodiagonal quadrilateral:...
- isosceles trapezoid is cyclic, an isosceles tangential trapezoid is a bicentric quadrilateral. That is, it has both an incircle and a cir****circle. If...
- 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...
- 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...