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Based on the basic law of flat interlocking, the paper considers a possibility of increasing the gear ratio of low module involute cylindrical planetary gears by using asymmetric tooth profile for the purposes of measuring devices. An example of the synthesis of such reduction gearing by optimal choice of asymmetry between the profiles and Possibility of generation III is presented.  Also presented is a planar matching of the unconditional existence areas in the field of independent coefficients of instrument displacement by the straight optimization method and pre-set qualitative indicators of the gearing.

Three consequences based on the basic law of the flat interlocking have been determined that allow the generation of asymmetric tooth profile on different poloidal circles. Gears with asymmetric profile are used in both mechanical engineering and measuring devices. Qualitative indicators of engagement that cannot be accomplished with a symmetric profile have been developed. A specific example of generation III has been presented. The qualitative indicators of engagement, which are invariant to the parameters of the tool, have been improved.

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