A cutting tip, a cutting tool and a gear edge cut-off device have greater ease-of-use than the conventional art. The cutting tip has a shaft portion supported linearly movably and forwardly biased in a linearly moving direction, an angular base portion provided at a front end of the shaft portion and having a pair of skirt faces and a ridge portion that extends obliquely with respect to the linearly moving direction, a groove depressed near the ridge portion of the skirt face, a blade edge on the cutting blade, positioned on a border line between the ridge portion and the groove, a rake face provided on the cutting blade and positioned further toward the groove side than the blade edge, and a flank face positioned further toward the ridge portion side than the blade edge and jutting out in the forward direction as it retracts from the blade edge.

A method for skiving machining a toothed workpiece includes the steps of: providing the toothed workpiece rotatable about a workpiece axis; providing a toothed tool rotatable about a tool axis; tilting the tool axis through an azimuth angle >0 with respect to an x direction; tilting the tool axis furthermore through a polar angle <90 with respect to a z direction; rotating the toothed tool about the tool axis, the toothed tool in a contact zone sliding over the toothed workpiece rotating about the workpiece axis. The workpiece axis defines the x direction and the perpendicular of the contact zone to the workpiece axis defines a z direction. The x direction, a y direction and the z direction form a Cartesian coordinate system. This method can easily produce a chamber on the toothed workpiece with the toothed tool which is subject to fewer geometric restrictions.

A cutting tip, a cutting tool and a gear edge cut-off device have greater ease-of-use than the conventional art. The cutting tip has a shaft portion supported linearly movably and forwardly biased in a linearly moving direction, an angular base portion provided at a front end of the shaft portion and having a pair of skirt faces and a ridge portion that extends obliquely with respect to the linearly moving direction, a groove depressed near the ridge portion of the skirt face, a blade edge on the cutting blade, positioned on a border line between the ridge portion and the groove, a rake face provided on the cutting blade and positioned further toward the groove side than the blade edge, and a flank face positioned further toward the ridge portion side than the blade edge and jutting out in the forward direction as it retracts from the blade edge.

A method for skiving machining a toothed workpiece includes the steps of: providing the toothed workpiece rotatable about a workpiece axis; providing a toothed tool rotatable about a tool axis; tilting the tool axis through an azimuth angle >0 with respect to an x direction; tilting the tool axis furthermore through a polar angle <90 with respect to a z direction; rotating the toothed tool about the tool axis, the toothed tool in a contact zone sliding over the toothed workpiece rotating about the workpiece axis. The workpiece axis defines the x direction and the perpendicular of the contact zone to the workpiece axis defines a z direction. The x direction, a y direction and the z direction form a Cartesian coordinate system. This method can easily produce a chamber on the toothed workpiece with the toothed tool which is subject to fewer geometric restrictions.