Abstract: A tool for abrading workpieces having random, convex, concave, planar or curved surfaces has a conically convex end face. When working a workpiece, the tool acquires an inclination transversely to the feed direction, so that the tool with the contact line is located on the workpiece. This leads to the same conditions as exist in the rotary milling of convexly curved surfaces when machining concave surfaces of the workpiece. Finest surface characteristics are obtained on the workpiece by the tool and the method of machining with this tool.

Abstract: A process for cutting at least one surface of a workpiece wherein a face milling cutter is used in working the surface in both pulling and pushing cuts and wherein the camber angle as measured with respect to the normal to said surface is maintained at a constant value during both pulling and pushing cuts. A face milling cutter adapted for use in both pushing and pulling cuts and used in the process has an angle of rotation with a selected chamber angle. The cutting face has inside and outside cutting edges which define a polygonal cutting edge geometry and intersect at a selected angle of intersection. The angle of intersection has a line of bisection which as measured with respect to the axis defines an inclination angle generally corresponding to the chamber angle.