The circum-orthic triangle DeltaA^'B^'C^' is the circumcevian triangle of a triangle DeltaABC with respect to the orthocenter H (Kimberling 1998, p. 163). The circum-orthic triangle of a triangle DeltaABC is also the image of the orthic triangle in the homothecy centered at the orthocenter H of DeltaABC and having similitude ratio 2.
It has trilinear vertex matrix