Abstract: A method for determination of longitudinal and profile modification of tool gear tooth (I) which linearly meshes with a gear to be machined, wherein modification parameters are determined from the following relationship: ##EQU1## where: .delta.--the amount of modification of the tool gear tooth (I) in a direction perpendicular to a radius r identifying the location of a contact point on a machining surface (5) relative to a centre (O) of rotation of the tool gear;p--the requisite change in the normal component of the cutting force;G--the rigidity of an arrangement providing for synchronous rotation of the gear blank and the tool gear as reduced to the tool gear axis.

Abstract: A method for manufacture of a toothed abrasive tool mating with the machining gear wheel (2) from a flat abrasive wheel (1) comprising axial feed of the flat abrasive wheel (1) and delivery of free abrasive material into the contact zone, and a method for finish machining with said tool of a gear wheel (2) comprising replacement of the free abrasive material by the cutting fluid and replacing the axial feed of the abrasive wheel (1) at the final stage of tool manufacture by the tangential feed of the gear wheel (2).