Toothed gear manufacturing method

This invention relates to toothed elements and their manufacture. In particular, it relates to optimize designing methods and machinery for manufacture of toothed gears and gear cutters, molds or dies without limitation to cylindrical or conical surface geometry of present gear-making machinery and related methods. A method for manufacturing a variable-diameter gear pair operable with a conjugate action therebetween includes the steps of providing a first workpiece and a second workpiece, each having a minor and a major diameter portion in spaced relation therefrom along a longitudinal axis. At least one gear tooth is formed within the first (second) workpiece for forming at least one first (second) gear body, wherein the at least one gear tooth within the first (second) at least one gear body curves outwardly in a radial and axial direction from the longitudinal axis, and wherein each of the at least one gear tooths includes a width dimension that changes in size between the minor and major diameter portions. Each of the first and second at least one gear bodies has the variable diameter and variable pitch for forming a gear pair operable with each other with a conjugate action therebetween.