Abstract: The invention comprises an all gear mechanism for a continuously variable transmission that provides a wide range of output speeds and torques. The Basic element of the transmission is a floating gear assembly which relates output speed to input speed. The floating gear assembly can either comprise a floating gearbox or a floating gear arrangement incorporated into a differential assembly with idler gears. Various controlling mechanisms are shown and described which include first and second mechanical feedback loops. With these speed control systems, the output gear ratio can be made to change either linearly to geometrically to produce a desired output speed and torque.