ANOPOLIS 220

Antreas P. Hatzipolakis

 

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

Denote:

R = the radical center of the circles (A',A'B), (C',C'A), (B',B'C)

S = the radical center of the circles (A',A'C), (B',B'A), (C',C'B)

Which point (on the OI line) is the midpoint of RS?

For which other P's the midpoint is an interesting point?

Variation: A'B'C' = pedal triangle of P (instead of cevian tr.)


APH