Let P be a point, A'B'C' its circumcevian triangle, A", B", C" the antipodals of A', B', C'. The ninecenters Na, Nb, Nc of the triangles A'A"P, B'B"P, C'C"P are collinear and the perpendiculars from them to A'A", B'B", C'C" concur at the midpoint between P and the circumcenter O.