Apparatus for supporting a tool which must be accurately moved along a predetermined path relative to a cutter, grinding wheel, polishing wheel or the like for forming, grinding, polishing, and/or refluting of the tool wherein improved mechanism is provided for enabling variable proportioning of tool rotation and translation. A simple rack and pinion mechanism is incorporated in the work moving apparatus so that a desired change can be made in the amount of rotation of the tool achieved for each unit of translatory movement of the tool.