Abstract: The present invention may be used in pumps and hydraulic engines and increases the functional capacities of rotary machines. This invention relates to a rotary machine comprising a body in which an adjustment member is mounted so as to be capable of displacement along the rotation axis. A plurality of systems, that define the axial and mutual disposition of sliders, are mounted so as to be capable of changing their position relative to the rotor and the body, and are cinematically connected to the adjustment member. The sliders are mounted so as to be capable of changing their position upon displacement of the adjustment member.