<p>The processing device (1) has a base portion (11) which is extended along the inclined oriented main axis (A) of a machining table. A drive axle (S) of a drive assembly is aligned perpendicular to the main axis. A swivel head (12) is mounted on the base portion by the side facing the workpiece position and pivotable along the drive axle. A tool holder (13a) is connected to the swivel head and is provided with tool insert (14) for processing the workpiece. An independent claim is included for rotary cycling machine.</p>