The article presents an alternative approach to the description of the cutting scheme, different from the accepted one, which corresponds to the real kinematics of the Power Skiving process. The interpretation of the process is based on the fact that the main cutting movement is the rotational movement of the tool, which, due to the intersection of the axes of the tool and the workpiece, forms the constructive movement of the face in the direction of the axial feed. In this case, the rotation of the workpiece is an auxiliary movement that does not take part in the cutting process, and the movement of the tool imparted to it by the axial feed is insignificant. The direction of the resulting movement of the cutting speed, which corresponds to such a representation, is at a slight angle concerning the face of the gear being cut. This vector determines the values of the actual or working angles on all three blades of the skiving cutter. These angles significantly change the shearing conditions during cutting, the force on the face, and the friction on the flank surfaces. This scheme has been used to analyze the cutting processes using skiving cutters with different blade designs and geometries and also to describe the negative aspects of combined “Super Skiving cutters.”