Method for the precision working of crowned tooth flanks on particularly hardened gears

In a method for the precision working of crowned tooth flanks on toothed workpieces while the toothed workpiece is undergoing a two-flank abutment with a toothed tool having abrasive surface means on its tooth flanks, namely, a surface which does not have any uniformly directed cutting edges and is in the form of a coating of hard material granules, axes of the tool and the workpiece being crossed at a crossed-axes angle (.phi.), the tool carrying out at least one back and forth feed movement and at least one of a continuously occurring plunge feed and a discontinuously occurring plunge feed movement in the sense of a center-distance reduction relative to the workpiece, the feed movement occurring perpendicularly with respect to a common normal to the tool and workpiece axes and at a diagonal angle (.epsilon.) inclined with respect to the workpiece axis, and following the final plunge feed whereat the desired center distance is reached, at least one further feed movement (X) being carried out without plunge feed, the improvement wherein the tool, during at least one feed movement (X) without plunge feed and only following the final plunge feed, carries out a tilting movement about an axis which is at least approximately tangent to the rolling cylinder of the tool (T) and is directed both perpendicularly with respect to the common normal (N) and also perpendicularly with respect to the workpiece axis.