ANOPOLIS 298

Antreas P. Hatzipolakis

Let ABC be a triangle and A'B'C' the cevian triangle I.

Denote:

Ab,Ac = the reflections of A' in BB', CC', resp.

Bc,Ba = the reflections of B' in CC', AA', resp.

Ca,Cb = the reflections of C' in AA', BB', resp.

L,La,Lb,Lc = the Euler lines of ABC, AAbAc, BBcBa, CCaCb, resp.

Ma, Mb, Mc = the reflections of La, Lb, Lc in AA', BB', CC', resp.

1. L, La, Lb, Lc are concurrent (parallel)

2. Ma, Mb, Mc are concurrent.
Point of concurrence?

APH