Line associated with the symmedian point.
- Anton Zakharov
M is the centroid of the triangle ABC H is the orthocenter of the triangle ABC L is the symmedian point (Lemoine point) of the triangle ABC Z is constructed for points M and H by the method as defined here: https://math.stackexchange.com/questions/3748383/median-bisector then, Points L, Z, and one of the vertices of the triangle ABC apparently always lie on a line ! in this case L,Z,C are collinear. (conjecture)