Tool for producing a crown wheel which can mesh with a pinion with oblique teeth, and method of producing such a crown wheel

Method for producing a crown wheel by means of a continuous generating process, which crown wheel can mesh with a helical toothed cylindrical pinion with a helix angle .beta. in situations wherein a first axis of rotation of the crown wheel and a second axis of rotation of the pinion are non-parallel, comprising the steps of rotating a workpiece from which the crown wheel is produced about the first axis, rotating a generating tool about a third axis, said generating tool having a number of passes of cutting edges lying on the periphery of the tool as ridges and grooves under a lead angle .gamma. with a plane perpendicular to the third axis, the speed of said rotation in a fixed ratio with respect to the rotation speed of the workpiece and the number of passes of cutting edges of the generating tool, bringing the tool into engagement with an active tooth flank of the workpiece which is limited by an inside radius and an outside radius, and moving the tool along the work piece in a direction parallel to the second axis, wherein during movement of the tool in the direction parallel to the second axis the workpiece is additionally rotated over a rotation angle which is proportional to the product of the distance of movement in the direction parallel to the second axis and the tangent of the helix angle .beta. of the cylindrical pinion, and that during this movement the angle between the third axis and a plane through the second axis and parallel to the first axis remains constant.