Let P be a point; A', B', C' its cevian traces; Pa, Pb, Pc the isogonals of P in the triangles AB'C', BC'A', CA'B'. The circles {PaB'C'}, {PbC'A'}, {PcA'B'} have a common point, and the same is true of the circles {A'PbPc}, {B'PcPa}, {C'PaPb}.