Abstract: A rotating toolhead on a preferably longitudinally movable headstock of a machine tool is disclosed. The machine tool includes at least one head carriage radially movable on the toolhead with at least one toolholder on the carriage. A motor for advancing the head carriage is operatively connectable to a drive transmission, and an axially movable driver is associated with the drive transmission and engages a ring arranged rotation-fast and longitudinally movable on a main spindle. An angular drive transfer engages with inclined planar teeth in corresponding teeth of the head carriage for movement thereof. Several groups of toolheads are also disclosed which can be arranged to form a machining line.