apparatus for the continuous , chipless separation of individual , identical pieces from a solid round workpiece , includes at least two cutting rollers , cooperating with one another , for separating and rolling the workpiece . each of the cutting rollers is defined by a separating portion and has a coil , with the height of the coil of one cutting roller being equal or slightly greater than the radius of the workpiece in the separating portion , and with the coil of the other cutting roller so configured as to eliminate a collision in the separating portion with the coil of the one cutting roller .