HYACINTHOS 21915

Antreas P. Hatzipolakis

Variations and Points

http://anthrakitis.blogspot.gr/2013/04/concurrent-radical-axes.html

APH

 

--- In Hyacinthos@yahoogroups.com, "Antreas" <anopolis72@...> wrote:
>
> Let ABC be a triangle, A'B'C' the orthic triangle and
> A"B"C" the Euler triangle (ie A",B",C" are the second
> intersections of NPC with AA',BB',CC', resp. = midpoints
> of AH,BH,CH, resp.)
>
> Denote:
>
> Ra = the radical axis of ((B', B'C"),(C',C'B"))
>
> Rb = the radical axis of ((C', C'A"),(A',A'C"))
>
> Rc = the radical axis of ((A', A'B"),(B',B'A"))
>
> The Ra,Rb,Rc are concurrent.
>
> Point?
>
> Antreas
>