Abstract: A transmission system for transmitting a rotary motion input to a rotary motion output utilizing hypocycloid motion multiplication is disclosed. The system comprises an input mechanism, at least one hydraulic transmission means, an output mechanism and an output bladder linkage. The input mechanism includes a plurality of rollers that each capture at least one arcuate linkage against an inside surface of a cylindrical hub, causing the linkage to rotate as the roller traverses thereacross and compress one of a plurality of input bladders. The compressed input bladders cause an output bladder to expand to drive the output mechanism in reciprocal linear motion, which the output mechanism converts to rotational motion at the rotary motion output. The output mechanism can be located proximate to, or distal from, the input mechanism.