Chip-forming machining unit

A chip-forming machining unit (1) wherein a first slide (8) is mounted on a slideway (9) integral with the bed (5) of the unit (1), so as to travel along a first axis (10) in a first plane (B); a second slide (15) is connected to the first slide (8) so as to travel along a second axis (17) perpendicular to the first axis (10) and lying in a second plane (C); and a further slide (24) supporting the toolhead (7) is mounted on an upright integral with the second slide (15), so as to travel along a third axis (27) perpendicular to the first and second axes (10, 17) and lying in a third plane (D) forming a right-angle dihedral with the first plane (B); the second plane (C) extending inside the aforementioned dihedral and forming an angle of other than zero with the first and third planes (B, D).