Let A”, B”, C” be the midpoints between the vertices A, B, C and the altitude feet A', B', C'. Let Oa, Ob, Oc be the circumcenters of A'B”C”, B'C”A”, C'A”B”. The triangles ABC, OaObOc are  homothetic with center the inverse of the de De Longchamps point L on the orthocentroidal circle.