Method for machining a variable-pitch toothing on a steering rack

A method for machining a toothing with variable pitch on a rack, said method being implemented by a machine tool which is provided with a rotary cutting tool other than a milling ball cutter and which comprises at least five axes allowing positioning said cutting tool relative to the rack, namely a first axis of translation, a second axis of translation and a third axis of translation, forming a three dimension space, a first axis of rotation allowing modifying a yaw position, about a yaw axis parallel to the first axis of translation, and a second axis of rotation allowing orienting a roll position about the second axis of translation, and in that said method comprises at least one cutting phase during which the cutting tool is controlled in «five continuous axes» by simultaneously modifying, during the same iteration, the spatial control component of each of said five axes, whereas the cutting tool rotates and is applied in contact with the surface of the tooth which is being trimmed.