In this article, sterilite 70 quart the relevance of the study of gears with a complex non-involute profile of the tooth flanks is justified.For the subsequent study of non-involute gearings, the task of mathematical modeling of the profile of a gear-cutting rolling tool for machining of noninvolute gear wheels is solved.As a profile of the tooth flank of a rack, a certain section of one of the previously simulated flat kinematic curves is considered.Based on the algorithm for calculating the profile of envelope surfaces, a method for geometric analysis of the process of surfaces shaping by rolling gear cutting tools has been developed.Using computer graphics, the sequential shaping of the teeth space of non-involute gear wheels processed by teucrium cossonii majoricum rolling gear cutting tools with a given tooth profile was studied.