### Circumcevian Triangle

Let P be a point in the plane of ΔABC. Extend the cevians AP, BP and CP to their intersection with the circumcircle of ΔABC. The points of intersection form a triangle, known as the *circumcevian* and, sometimes, *circumpedal*, triangle of P. The circumcevian and pedal triangles of the point P are similar.

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For P = H, the orthocenter, the original cevians of ΔABC play the role of angle bisectors in the circumcevian triangle.

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