On one regularity in the arrangement of center projections on the general picture plane

Abstract

In the course of the long historical development of descriptive geometry, as one of the sections of geometry, a number of questions have arisen that currently require scientific research. One of such questions is the question of establishing specific patterns of connection between different in nature methods of design. In graphically solving the various problems of engineering practice, it is necessary to strive for the simplest solution of each problem posed. In a number of cases, the simplest graphical solution of this or that problem can be achieved not only by skillful and reasonable use of one or another design method, but also by the ability to move from one design method to another by the simplest graphical constructions, i.e. to carry out transformation of projections. In the present work it is meant to establish a regularity of connection between the images of elements constructed by their central projection onto a common picture plane, and to show the possibility of using such a regularity in solving some problems of engineering practice.