Let P, Q be two points, PaPbPc the pedal triangle of P, QaQbQc the cevian triangle of Q, A'B'C' their side triangle. Then A'Pa, B'Pb, C'Pc concur at a point. When Q is the centroid, this point lies in the ninecircle. When P is the circumcenter, it lies in the Steiner inellipse.