Abstract: A profiling device for use with a machine tool includes a sleeve adapted to be attached to the machine tool and a tool carrier shaft rotatably mounted in the sleeve. The axis of the shaft is offset at a working angle relatively to the axis of the sleeve, so that the shaft carries out an oscillatory movement relatively to the sleeve when the shaft or the sleeve are rotated. The outer end of the shaft is adapted to receive a suitably shaped tool which can cut progressively into a workpiece until the entire profile has been produced when the relative rotational velocity of the workpiece and the tool is substantially zero.