An automated mechanical machining system for machining a metal panel comprising a first face and a second face, which is opposite to the first face, the automated mechanical machining system comprising: - at least one machining tool configured to contact the first face of the panel at a machining point, - at least one holding tool configured to contact the second face of the panel at a holding point, - a control module configured to control the machining tool and the holding tool in a coordinated manner, on the basis of machining trajectories, so that the machining point is aligned with the holding point along the normal to the second face at said holding point, - an adaptation module configured to determine simple actual machining trajectories stairs TRAJr1 from, on the one hand, predetermined simple theoretical machining trajectories stairs TRAJt1 and, on the other hand, a measurement of the actual surface area SURFr of the second face, - the system being characterized in that it comprises a slope management module configured to determine actual sloping machining trajectories TRAJr2 from predetermined theoretical sloping machining trajectories TRAJt2, predetermined simple theoretical machining trajectories stairs TRAJt1 and simple actual machining trajectories TRAJr1, such that the actual sloping machining trajectories TRAJr2 are configured to change the orientation of the machining tool which is then unaligned from the holding tool while remaining in opposition and that the orientation of the machining tool varies during a control step to form oblique slopes of suitable shapes - and in that the slope management module comprises: - a sub-module for determining an elementary adaptation function (Fe) from the predetermined simple theoretical machining trajectories TRAJt1 and the simple actual machining trajectories TRAJr1; - a sub-module for transforming predetermined theoretical sloping machining trajectories TRAJt2 by the elementary adaptation function (Fe) in order to obtain the actual sloping machining trajectories TRAJr2. - at least one machining tool configured to contact the first face of the panel at a machining point, - at least one holding tool configured to contact the second face of the panel at a holding point, - a control module configured to control the machining tool and the holding tool in a coordinated manner, on the basis of machining trajectories, so that the machining point is aligned with the holding point along the normal to the second face at said holding point, - an adaptation module configured to determine simple actual machining trajectories stairs TRAJr1 from, on the one hand, predetermined simple theoretical machining trajectories stairs TRAJt1 and, on the other hand, a measurement of the actual surface area SURFr of the second face, - the system being characterized in that it comprises a slope management module configured to determine actual sloping machining trajectories TRAJr2 from predetermined theoretical sloping machining trajectories TRAJt2, predetermined simple theoretical machining trajectories stairs TRAJt1 and simple actual machining trajectories TRAJr1, such that the actual sloping machining trajectories TRAJr2 are configured to change the orientation of the machining tool which is then unaligned from the holding tool while remaining in opposition and that the orientation of the machining tool varies during a control step to form oblique slopes of suitable shapes - and in that the slope management module comprises: - a sub-module for determining an elementary adaptation function (Fe) from the predetermined simple theoretical machining trajectories TRAJt1 and the simple actual machining trajectories TRAJr1; - a sub-module for transforming predetermined theoretical sloping machining trajectories TRAJt2 by the elementary adaptation function (Fe) in order to obtain the actual sloping machining trajectories TRAJr2. - a sub-module for determining an elementary adaptation function (Fe) from the predetermined simple theoretical machining trajectories TRAJt1 and the simple actual machining trajectories TRAJr1; - a sub-module for transforming predetermined theoretical sloping machining trajectories TRAJt2 by the elementary adaptation function (Fe) in order to obtain the actual sloping machining trajectories TRAJr2.