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ANALYTICAL MODEL OF SURFACES BASED ON THE SPACE’S COORDINATION BY HELIX AND ELLIPSES

Фото Kokareva Yana Andreevna

Аbstract

In the article the algorithm of surface’s construction on the basis of a construct-parametrical method of a shaping by immersion of any line in congruence is considered. The parametrical equations of coordination of space by helix and ellipses, on the basis of which u-, v- and w-congruences are defined, are received. The surfaces of the resulting congruences are visualized. The general structure of surfaces is determined.

Keywords: Construct-parametrical method, shaping, congruence of lines, space’s coordination, curvilinear coordinates