It states that if a motion determined by X ( t ) = P ( t ) A 0 − − 1 x ( 0 ) is admissible under the conditions of Dirichlet's problem, then the motion determined by the transpose P T of P is also admissible. In other words, the theorem can be stated as for any state of motions that preserves a ellipsoidal figure, there is an adjoint state of motions that preserves the same ellipsoidal figure.