Let A'B'C' be the circlecevian
triangle of P, and let A", B", C" the orthogonal projections of A', B',
C' on the sides of ABC. Then AA", BB", CC" concur at a point Q. As exemple:
· when P is the incenter or
X(80), then Q is the Nagel point
· when P is a Fermat point,
Q is the centroid
· when P is the circumcentre
or X(265), Q is the Prasolov point.