[en] In the virial method the authors take moments of the equations of motion, from which they study the equilibrium and the stability of ellipsoidal figures. The virial equations of the various orders given by Chandrasekhar (Ellipsoidal Figures of Equilibrium, 2. edition (Dover, New York, NY) 1987) in the case of homogeneous and uniformly rotating masses, are generalized to non uniformly rotating ellipsoidal configurations of nonhomogeneous density, with internal fluid motions of nonuniform vorticity. They derive the permitted equilibrium