Abstract: This machine comprises a folding foot co-operating with a fixed abutment and a movable oscillating finger for folding the workpiece border against the folding foot, with a presser for retaining and advancing the workpiece, with a glue feeding device and an adjustable speed actuation motor; the machine also comprises photocells indicating the presence and the shape of the workpiece, a minicomputer for storing and controlling the operative and setting parameters of the machine kinematisms, as can be memorized, in maximum rotation rate at straight, outwardly and inwardly curved portions of the workpiece, advancement pitch at the straight and curved portions, glue dosage, delivery times and temperature, selection of the photocells causing pitch variations and actuation of the cutting blade, and machine operation mode, i.e. manual, automatic and continuous rotation; the machine furthermore has drivers for adjustable control of the operative parameters.