RADICAL AXES OF NPCs

Let ABC be a triangle and P,P* two isogonal conjugate points.

Denote:

Ra = the radical axis of the circles (NPC of PBC), (NPC of P*BC)

Rb = the radical axis of the circles (NPC of PCA), (NPC of P*CA)

Rc = the radical axis of the circles (NPC of PAB), (NPC of P*AB)

Ra, Rb, Rc are concurrent.

Antreas P. Hatzipolakis, 12 April 2013