A machining tool for machining a panel is arranged in a working area of a machining surface of the panel. A holding element is arranged in a support area located on a holding surface of the panel, opposing the machining surface and on an opposite side in relation to the panel to the working area. The operating machining tool and the holding element are displaced on the panel in a co-coordinated manner according to movement presenting at least one component tangentially to the surface of the panel in such a way as to maintain the opposition of the support area and the working area during the displacement of the tool in order to machine at least a part of the machining surface.