Abstract: The invention relates to an automatic machine for shaping spectacle lenses, especially those in shatterproof material, with a bevel that serves to hold the lens in the frame. Lenses are copied from a pattern by three cutters which correspond to the three types of conventional bevel in current use; a positioning device stations the lens opposite the cutter giving the requisite bevel. Further devices adjust the position of the bevel in relation to the outer edge of the lens, and ensure that it follows the curvature of the individual lens while remaining at the right distance from the edge. The machine is a copier, and as such, utilizes a tracing mechanism for reproduction from the pattern lens; cam control is adopted for scaling the size of the copied lens up or down in relation to the pattern.