Let Ha, Hb, Hc be the feet of the altitudes; Ka, Kb, Kc the cevian traces of thr circumcenter O; Oa, Ob, Oc the circumcenters of the triangles AHaKa, BHbKb, CHcKc; Ma, Mb, Mc the midpoints of the sides. The lines OaMa, ObMb, OcMc concur at the cevian quotient between the centroid G and the ninecenter N.