The principle of the objective predestined localizations of space in polygonal figure of the free form and its application in technology

We present a system of geometric constructions, which allows us to select an area inside a flat polygon. The form and the location of the area in the polygon are normally defined only by the form of the polygon, and the sizes are defined by the value of the $h$-constructions' step. When $h\to0$ the area degenerates into a point, which is not the centre of inertia of the polygon. It is shown that the particles of dispersional systems moving under the influence of external powers on the given scheme are concentrated in a local area and coordinates are given by the location of the external power sources. The examples of usage of this principle are given in technology of shaping and processing materials.