Hi Bractals,

I do not quite understand your construction: according to the

figure the points P1 and P2 are on the same line, but the solution

has x ( the length of AX ) different for P1 and P2.

Maybe it is the second solution for points P1 ( as we discussed )

but P1 outside of the "deltoid" but still inside the triangle has

only one solution.

Also the points in close proximity of centroid G clearly have 3

lines that cut area of the ABC in 2 equal parts.

The "deltoid" inside the ABC : is it a triangle?

How does your solution accounts for "deltoid" existance?

G