So the autor proposed a new design project use logarithmic helicoid instant of planar plane of action and at the same time this two project were compared in detail.

Single screw compressor cylinder by a screw and two symmetrical layout of the plane composed of stars round of meshing pair, installed in the chassis.

The results provide data for machining and inspection in production practice. The same method may also be used to calculate various envelops encountered in the machining.