[en] A group of quasihomogeneity in the Newton mechanics of continuum and groups of motions of space-time in relativistic hydrodynamics are determined with the use of the relativistic method. A complete classification of the Newton and relativistic models is given. Newtonian analogies of relativistic models are singled out. Essentially nonstationary models are considered. A complete system of newtonian motion equations of continuum within the framework of the scalar approach is presented. The criterion of homogeneity of continuum in the direction of the generator of the group of continuous transformations of the lagrangian coordinates is formulated. The classification of noninertial reference systems by homogeneity groups is given