Problem of the Week
Geometry Series #1-------10/8/07-------
If D, E, and F be the midpoints of the sides BC, CA, and AB of the triangle ABC, and AP, BP, CP meet the opposite sides in L, M, and N, P being any point in the plane, prove that the joins of D, E, and F to the midpoints of AL, BM, and CN are concurrent.
(Geometry: A Comprehensive Course)