Abstract
The VGR rack and the pinion have the characteristic of changing the amount of movements of the rack with uniform rotation of the pinion. In this research, the pinion is regarded as the tool, and tooth surfaces of the VGR rack are generated. Using calculated theoretical tooth surface the contact lines of the VGR rack and the pinion are found, and the engagement of the VGR rack is shown. Moreover, in a different basic dimensions of the pinion, the changing of the simultaneous contact line of the VGR rack is shown.