Re: [EMHL] Re: Perspective?
- One more....
HaHbHc = the orthic triangle.
(N1) = the circle (Ha, HaN) ie the circle with center Ha and radius HaN =R/2
A'B'C' = the triangle bounded by the radical axes of
Are the triangles HaHbHc, N1N2N3 perspective?
On Wed, Feb 20, 2013 at 1:29 PM, Antreas <anopolis72@...> wrote:
> I am not sure If I have already posted this:
> Let ABC be a triangle, (N1),(N2),(N3) the reflections of
> (N)[=NPC] in OA,OB,OC, resp. and A'B'C' the triangle bounded
> by the radical axes of ((O),(N1)),((O),(N2)),((O),(N3)).
> Are N1N2N3, A'B'C' perspective?
[Non-text portions of this message have been removed]
- Are the triangles ABC, A'B'C' perspective?Feuerbach point Fc.The NPC of CHIc intersects the excircle (Ic) at C' other than theFeuerbach point Fb,The NPC of BHIb intersects the excircle (Ib) at B' other than theFeuerbach point Fa.Let ABC be a triangle with excenters Ia,Ib,Ic.
The NPC of AHIa interscts the excircle (Ia) at A' other than theIn any case, has the triangle A'B'C' any interesting properties?APH