Let P be the second intersection between the circumcircle and the line joining the points T of Tarry and L of De Longchamps. Let Ca, Ba be such that BCP, ABCa, CABa are similar.  Define analogously Ab, Cb, Bc, Ac. The circumconics {ABCCaBa}, {ABCAbCb}, {ABCBcAc} cut the circumcircle at A’, B’, C’ and the lines AA’, BB’, CC’ concur at the inverse of the point X(115) in the circumcircle.