A cutting machine with a chassis including a frame and a coupling support configured to be mounted on a three-point hitch of a tractor, and with an arm connected directly to the frame by a first articulation and extending, at least during work, laterally relative to the frame, the arm carrying a work element and configured, by a displacement device, to be pivoted relative to the frame between a work position, a maneuver position, and a transport position. The displacement device includes a connecting-rod and at least a first jack articulated between the frame and the connecting-rod and a second jack articulated to the arm and connected to the connecting-rod by a pin. The connecting-rod is directly connected to the arm by a second articulation, and the second articulation is separate from the first articulation.
