HYACINTHOS 21522

Antreas P. Hatzipolakis

 

 

Let ABC be a triangle.

1. Let (N1),(N2),(N3) be the reflections of the NPC (N) in the
sidelines BC,CA,AB, resp. and A'B'C' the triangle
bounded by the radical axes of ((O),(N1)), ((O),(N2)), ((O),(N3)), resp.

Are the triangles ABC, A'B'C' are perspective ?


2. Let HaHbHc be the orthic triangle, (N1),(N2),(N3) the reflections
of the NPC (N) in the altitudes HHa,HHb,HHc,
resp. and and A'B'C' the triangle bounded by the radical axes of
((O),(N1)), ((O),(N2)), ((O),(N3)), resp.

Are the triangles HaHbHc, A'B'C' are perspective ?

Perspectors?

APH