- Let ABC be a triangle and A', B', C' the reflections of
A, B, C in BC, CA, AB, respectively. Then the perspectrix
(axis of perspective) of triangles ABC and A'B'C' is the
tripolar of the nine-point center of triangle ABC.
If X, Y, Z are the reflections of the incenter I of ABC
in BC, CA, AB, respectively, then the perspectrix of
triangles ABC and A'B'C' is the tripolar of X(226) of
I wonder if these properties are known.