The circumcenter is the center O of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors. The trilinear coordinates of the circumcenter are cos A:cos B:cos C, and the exact trilinear coordinates are therefore R cos A:R cos B:R cos C, where R is the circumradius, or equivalently (1/2 a cot A, 1/2 b cot B, 1/2 c cot C). The circumcenter is Kimberling center X_3.
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