Abstract: A basic one, the screw theory has in the studies of mechanism and development of robots ever since the middle of the century found wider and wider use, received greater and greater attention, and displayed increasingly extensive potentials of application. Deep-going studies have been made of 2-system screws, both at home and abroad, with particular attention given to screw resultants. Use is made of a variable k, as introduced in the studies of addition of screws, which is the generalized ratio of gearing, and thus parameters for determining a resultant screw are functions of k. As far as the studies of screw theory are concerned, this may prove to be a new approach, and a promising one at that.

Key words: 2-system of screws, Algebra approach, Screw, Screw theory