circumcenter

circumcenter
The center of a circumcircle (the circle that passes through every vertex of a given triangle or other cyclic polygon).

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  • Circumcenter — Cir cum*cen ter, n. (Geom.) The center of a circle that circumscribes a triangle. [1913 Webster] …   The Collaborative International Dictionary of English

  • circumcenter — noun Date: circa 1889 the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices …   New Collegiate Dictionary

  • circumcenter — /serr keuhm sen teuhr/, n. Geom. the center of a circumscribed circle; that point where any two perpendicular bisectors of the sides of a polygon inscribed in the circle intersect. [1885 90; CIRCUM + CENTER] * * * …   Universalium

  • circumcenter — n. center of a circle which surrounds a triangle …   English contemporary dictionary

  • circumcenter — cir·cum·center …   English syllables

  • circumcenter — | ̷ ̷ ̷ ̷+ noun Etymology: circum + center : the center of the circle circumscribing a triangle or a regular polygon of more than three sides * * * /serr keuhm sen teuhr/, n. Geom. the center of a circumscribed circle; that point where any two… …   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

  • Altitude (triangle) — Orthocenter and Orthocentre redirect here. For the orthocentric system, see Orthocentric system. Three altitudes intersecting at the orthocenter In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e …   Wikipedia

  • Euler line — In geometry, the Euler line, named after Leonhard Euler, is a line determined from any triangle that is not equilateral; it passes through several important points determined from the triangle. In the image, the Euler line is shown in red. It… …   Wikipedia

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