excircle

== English == === Etymology === From ex- +‎ circle. === Pronunciation === === Noun === excircle (plural excircles) (geometry) An escribed circle; a circle outside a polygon (especially a triangle, but also sometimes a quadrilateral) that is tangent to each of the lines on which the sides of the polygon lie. ==== Usage notes ==== Any given triangle has exactly three excircles. A quadrilateral that has an excircle is said to be ex-tangential (or sometimes exscriptible). ==== Related terms ==== ==== Translations ==== === See also ===