Let ABC', BCA', CAB' be the external Fermat triangles of ABC; Oa. Ob, Oc their centers; A'B'C”, B'C'A”, C'A'B” the external Fermat triangles of A'B'C' ; Qa, Qb, Qc their centers. The lines OaQa, ObQb, OcQc concur at the centroid G of ABC.