The equation for the point of intersection between circular arc and involute curve,the spread angle on starting point and terminal point of vane involute profile in new coordinate system,and the design formulae of vane involute profile have been obtained based on the study of involute properties and geometrical relationship and by mathematical calculations.

A new design method for involute-type spiral pinion shaped cutter was presented in contrast to the traditional oneWith this method the error of design was zero,and the stability of its CAD/CAM geometry model was verified,so this paper was quite valuable to the method of manufacturing high-precision involute-type spiral pinion shaped cutter