Abstract: This invention relates to a power transmission apparatus for flexibly coupling a power source to its intended torque load. This apparatus is addressed to producing an infinitely flexible ratio of gear reduction while continuously maintaining economical, solid contact gear meshings. The simultaneous selection of division ratios, and of optional torque transfer channels, while splitting the input torque provides the two torque components needed for composing the optimum output torque ratio. A plurality of dual journallings permit an annularly torqued rotation to progressively supplement and then replace, the torque from the epicyclic gear reduction rotations. Multiple progressions of infinitely variable reduction ratios selectively activate the amount of input torque energy deflected from the gear reduction apparatus, into a direct torquing of the output shaft.