The relevance of the problem of the gear tooth action in a plane synthesis based on the criterion of tooth profile wheel group curvature is justified. Based on a mathematical model of gear tooth action in a plane with a constant angular speed ratio, an algorithm for solving the problem with a given constant curvature is given. The obtained solutions allow us to perform an analysis of the general type of lantern gear in a plane.

This paper describes a method for determining the number of measurements, which allows you to increase the accuracy of measurements, as well as reduce the number of measurements in cases where the variance is small. In the same cases, when the share of random error is significant, additional measurements allow you to avoid an erroneous result, which can lead to a defective product.