The radical axis between the circumcircle cc and the Brocard circle cb is the Lemoine line rl; the radical axis between the circumcircle cc and the ninecircle cn is the orthic axis ro; the radical line between the ninecircle cn and the Brocard circle cb is the tripolar rr of the retrocenter R. All three concur at the cevian quotient between the centroid G and the point X(125).