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 DOI: 10.17587/it.28.115-125 A. N. Bozhko, Professor, S. V. Rodionov, Assistant Professor, Bauman Moscow State University, Moscow Combinatorial Methods of Geometric Reasoning in CAD-Systems. A Review The article is devoted to modeling the geometric reasoning of complex  scenes in computer-aided design systems. When developing complex processes and  systems, obstacle analysis must be performed with high accuracy for a large  number of design alternatives. The classical methods of collision detection,  motion planning and virtual reality are very computationally expensive.  Combinatorial methods are widely used in modern design systems. As a rule, they  give easily computable necessary conditions for geometric reasoning, which  makes it possible to discard obviously unrealizable design options. The article  provides an overview of the most famous methods of this class. P. 115–125 | |||||||||