Abstract: A device is provided for guiding a workpiece or tool during the machining of toric or spherical surfaces. The device includes an axially movable spindle sleeve disposed on the grinding or polishing machine and having first and second ends. A seating chuck has support for supporting one of a lens and a tool. A connecting means is provided for fitting the chuck concentrically to the first end of the spindle support. The connecting means includes a bell-shaped flange. A ball joint connects the support means to connecting means. A roller bellows is non-resilient in the circumferential direction and connects the support means to the bell-shaped flange. The roller bellows is arranged to form a joint chamber for sealing the space in which the ball joint is situated. A pressure fluid line is connected to the joint chamber. A pressure fluid cylinder-piston assembly is disposed coaxially with the spindle sleeve and the spindle sleeve being movable with the piston.