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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. [1] It has also been called an exscriptible quadrilateral. [2] The circle is called its excircle, its radius the exradius and its center the excenter (E in the figure). The ...
A tangential quadrilateral with its incircle. In Euclidean geometry, a tangential quadrilateral (sometimes just tangent quadrilateral) or circumscribed quadrilateral is a convex quadrilateral whose sides all can be tangent to a single circle within the quadrilateral.
Additionally, if a convex kite is not a rhombus, there is a circle outside the kite that is tangent to the extensions of the four sides; therefore, every convex kite that is not a rhombus is an ex-tangential quadrilateral. The convex kites that are not rhombi are exactly the quadrilaterals that are both tangential and ex-tangential. [16]
Ex-tangential quadrilateral – Convex 4-sided polygon whose sidelines are all tangent to an outside circle; Harcourt's theorem – Area of a triangle from its sides and vertex distances to any line tangent to its incircle; Incenter–excenter lemma – A statement about properties of inscribed and circumscribed circles
In Euclidean geometry, a bicentric quadrilateral is a convex ... Other names for these quadrilaterals are chord-tangent quadrilateral [1] ... Ex-tangential quadrilateral;
The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.
PARIS(Reuters) -Jean-Marie Le Pen, the founder of France's far-right National Front party who tapped into blue-collar anger over immigration and globalisation and revelled in minimising the ...
In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a ... and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential.