Nesvidomin V. Computer models of synthetic geometry

Thesis is devoted to solution of scientific and applied problem of computer formalization methods of constructive synthetic geometry. Analytical, algorithmic and programm realization of forming methods and research of basic geometrical forms 1, 2 and 3th degrees has been executed. Computer base of constructive synthetic geometry has been lain the found. The complete structure of computer models of constructing of algebraic multikinds of higher orders by incidenciy methods has been created. It has been founded the new stage of their research. A number of computer models of algebraic multikinds of higher orders according their constructive-synthetic description has been developed. The results of thesis researches have been inculcated as the created program appendixes to the computer graphics systems of the automated design of technical forms and technological processes by the incidenciy methods.