Helical Projection and Its Application in Solving Geometrical and Technical Problems

摘要

Geometric principles are developed for a new method of curvilinear projection of space objects onto a plane in which helixes with a common axis and identical parameter are projections. The construction of helical projections of the main geometric form application of the method of helical projection in solving different geometrical and technical problems is shown. The developed method permits the obtaining of degenerate projections of helical surfaces on the horizontal or frontal plane of projections, makes possible a simple solution of problems with these surfaces, and can find use in those numerous areas of machine building where in helical surfaces are used. (Author)