HYACINTHOS 29064

[Ercole Suppa]

 

Let ABC be a triangle.

Denote:

O,G,K = the circumcenter, the centroid, the symmedian point of ABC resp.

(A,a) = the circle centered at A with radius a=BC

La = the radical axis of (O) and (A,a)

A' = La /\  BC; define B', C' cyclically 

1.  AA', BB', CC' concur on circumcircle at  X(99)= Steiner point of  ABC

2.  the perspectrix of triangles ABC and A'B'C' is the line GK

 

Best regards

Ercole Suppa