Let A'B'C' be the incentric triangle; Ia, Ib, Ic the incenters of AB'C', BC'A', CA'B'; Ja, Jb, Jc lthe isogonals of Ia, Ib, Ic with respect to A'B'C'. The circles {JaB'C'}, {JbC'A'}, {JcA'B'} and also the circles {A'JbJc}, {B'JcJa}, {C'JaJb} have a common point.