A Fermat point F of ABC is also a Fermat point of its cevian triangle A'B'C' and of its anticevian triangle A"B"C". Let F*, F', F" be the other Fermat point of ABC, A'B'C', A"B"C". The points F, F*, F', F" are concyclic and at the same circle lie the isogonals of F*, F', F" (isodynamic points I*, I', I").