Abstract: A co-axial co-planar combined hydraulic vane pump and motor having an interposed annular unitary common connecting element functioning as both pump stator and motor rotor and subject to manipulation as a unit to vary the speed ratio between said pump and motor while presenting continuous smooth annular surfaces interiorly to the pump vanes and exteriorly to the motor vanes. At the same time said novel common element presents unbroken annular polar sealing faces to the confining end walls of the main transmission operating chamber.