The invention is aimed at providing a device for learning, with no danger of accident, while complying with the conditions of actual cutting, by proposing to combine virtual equipment for cutting and resistance to the advancing of the cut with tangible supports of material to be cut. A hybrid facility according to the invention includes a numerical management unit for managing exercises, a cutting table, a stereoscopic videoprojector of a stationary cutting machine, a stereoscopic camera for tracking the position of a tangible workpiece of an operator equipped with markers, a control touch screen linked with the management unit and a tangible workpiece to be cut virtually. The projected machine is viewed by an operator equipped with 3D viewing goggles and said videoprojector is combined operationally with the stereoscopic tracking camera associated with position markers equipping said workpiece and said operator.