Here is an analogous conjecture to that one in messages #17925-6 (Neuberg cubic) Let ABC be a triangle, A'B'C' its medial triangle and P a point on the
[APH] ... Francisco verified that it is true for P = O,H,G,N. (is it true for all points on the Euler line ?) He has also computed the coordinates of the
[APH] ... Francisco told me it is not true in general. However, it seems it is true for P = O For P = H, it seems that La,Lb,Lc are concurrent. Antreas
Let ABC be a triangle and P = (x:y:z) a point. Denote: A* :=(Perpendicular from B to CP) /\ (Perpendicular from C in BP) B* :=(Perpendicular from C to AP) /\