noun Date: 1885 a circle which passes through all the vertices of a polygon (as a triangle)

New Collegiate Dictionary. 2001.

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  • circumcircle — /serr keuhm serr keuhl/, n. Geom. a circle circumscribed about a figure. [1880 85; CIRCUM + CIRCLE] * * * …   Universalium

  • circumcircle — noun A circle that passes through every vertex of a given triangle (or other polygon where possible) …   Wiktionary

  • circumcircle — noun Geometry a circle touching all the vertices of a triangle or polygon …   English new terms dictionary

  • circumcircle — cir·cum·circle …   English syllables

  • circumcircle — n. Geom. a circle touching all the vertices of a triangle or polygon …   Useful english dictionary

  • Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… …   Wikipedia

  • Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… …   Wikipedia

  • Incircle and excircles of a triangle — A triangle (black) with incircle (blue), incentre (I), excircles (orange), excentres (JA,JB,JC), internal angle bisectors (red) and external angle bisectors (green) In geometry, the incircle or inscribed circle of a triangle is the largest circle …   Wikipedia

  • Cyclic quadrilateral — Cyclic quadrilaterals. In Euclidean geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. Other… …   Wikipedia

  • Simson line — In geometry, given a triangle and a point on its circumcircle, the intersections formed when lines are constructed from the point perpendicular to each of the triangle s sides are collinear. The line through these points is the Simson line, named …   Wikipedia

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