Let I be the incenter; Oa, Ob, Oc the circumcenters of IBC, ICA, IAB; r a line through I ; O'a, O'b, O'c the reflections of Oa, Ob, Oc on r. The circles {O'aBC}, {O'bCA}, {O'cAB} have a common point and the same happens to the circles {AO'bO'c}, {BO'cO'a}, {CO'aO'b}.