“…This paper is based on the analysis of the accuracy of the kinematics of manufacturing convolute and involute worm screws, but it does not focus on the geometric parameters of the tools for their manufacture. In the study [79], the authors Onysko and Kopei used application shown in [80] to prove by calculations that the presence of a screw lead angle of λ = 2.24° for the NC10 tool-joint thread (the smallest size drill-string connect thread), and accordingly, the angle of inclination of the cutting edge of the cutter λz = 2.24°, causes a decrease in the half-profile angle α/2 by 0.24°, which is more than 30% of the tolerance. Description of the visual algorithm is presented Such an angle for tool joints is quite insignificant; it does not cause alarm among manufacturers regarding the influence on the accuracy of the thread profile, and therefore, the operating instructions for threaded cutters contain the method of using tools containing a plate installed at an angle relative to the axis of the thread.…”