Abstract: An automatic machine for displacing a shaping tool, such as a router, over a work area includes a tool mounting assembly carried by support means such as an articulated arm. The arm is movable by first movement means relative to fixed structure of the machine over the whole work area, while the tool mounting assembly can be moved within a limited zone relative to the arm by second movement means. The movement of the tool mounting assembly (and thus of the tool) is directly measured relative to the machine fixed structure and compared with a required movement to generate an error signal. This signal is fed to the second movement means which endeavors to move the tool mounting assembly as required over the work area.