Leather cutting system, tissues and synthetic materials in rolls and sheets by means of oscillating knife, said vibrating blade, mounted on a movable head by means of a bridge arm. The cutting profile is determined from information transmitted by vector files and projected directly onto the work plan for the optimal placement of shapes. Intake system for the clamping of the skin, head and multi tool system of automatic nesting complement the machine functions. Versions suitable for modeling, small and large productions