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The temperature driven reorientation of the magnetization observed in thin ferromagnetic films and multilayer systems is studied theoretically. We take into account layer dependent magnetic anisotropies. The free energy and the direction of magnetization are calculated by using a perturbational approach as well as a nonperturbational treatment. It is shown that in most cases a continuous magnetic reorientation is obtained. An increasing anisotropy energy as compared to the exchange interaction leads to an increasing width of the magnetic reorientation.