ANOPOLIS 264

Antreas,

ABC, HaHbHc are perspective at X(10).

Also, Ab, Ac, Bc, Ba, Ca, Cb lie on a common ellipse, with center at non-ETC 1.960282489025446, and perspector at non-ETC 1.187173090084883.

Randy Hutson

 

--- Antreas P. Hatzipolakis wrote:
>
> Let ABC be a triangle and A'B'C' the cevian triangle of P = 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.
>
> Ha, Hb, Hc = the orthocenters of the triangles
> A'AbAc, B'BcCa, C'CaCb, resp.
>
> I think that ABC, HaHbHc are perspective.
>
> Locus of variable P such that ABC, HaHbHc are perspective?
>
> APH
>