incircle

== English == === Etymology === From in- +‎ circle. === Pronunciation === === Noun === incircle (plural incircles) (geometry) A circle within a polygon, especially a triangle, that is tangent to each side. ==== Usage notes ==== A triangle always has an incircle, whose centre (the incentre) is the point of concurrence of the angle bisectors. A polygon that has an incircle is called a circumscribed polygon or tangential polygon and is said to be inscribable. ==== Synonyms ==== (circle tangent to all sides): inscribed circle ==== Related terms ==== incentre / incenter inradius insphere ==== Translations ==== === Verb === incircle (third-person singular simple present incircles, present participle incircling, simple past and past participle incircled) Archaic form of encircle. === See also === excircle circumcircle === Anagrams === circline