<p>The machine comprises a cutting head having two modules. One cutting module (30) has several superposed cutting tools (32) located about a shaft (31A) with axis (31). The other lead module (40) has several superposed lead cutting tools (42) located about a shaft (41A) with axis (41). Each stack of tools on a module are arranged on a support pivoting about an axis parallel to the module axis. Each cutting tool has an external rotating cage and an independent internal cutting part (34) inside the cage rotated by a motor (71). Each lead tool has the shape of a rotating toothed disc. The cages are subject to a limited driving torque which is adjustable.</p>
