Konopatsky Y. Geometric simulation of algebraic curves and their application at surface detailing in Balyuba-Naidysh dot analysis

Object - surfaces set by basic contours and continuous geometrical images; methods of descriptive, analytical, differential, projective and affine geometry; dot calculation; computer methods of calculation and display of geometrical forms; theoretical and practical results - the order of an algebraic curve set in a dot kind is determined, the library of the equations of algebraic curve 2-nd and 3-rd orders in dot analysis Balyuba-Naidysh is added, settlement -graphic algorithms of designing of algebraic curves and segments of surfaces, for modeling the continuous phenomena and processes as geometrical images in multivariate space are introduced into practice; scientific novelty - the method of a mobile simplex for designing surfaces on the set basic contours and the device of offered dot analysis Balyuba-Naidysh for definition of continuous geometrical images is used at modeling processes and the phenomena; degree of introduction - the close joint-stock company "Donbasgrazhdanproyekt", open joint-stock company on gas supply and gasification "Makeyevgaz", in educational process of the Donbass national academy of construction and architecture; sphere of use - modeling, research and optimization multiple parameter the phenomena and processes, as continuous geometrical images in multivariate space.