Abstract
In this paper, the form of the tooth profile and the path of contact are determined mathematically by giving the circular arc for the profile of the toothed wheel gearing, and the pin wheel and Matsumura's tooth profiles are derived as the special cases of the gearing. The specific sliding for the profile is studied and is compared with the other tooth profilees, for instance, cycloidal teeth, involute teeth or Matsumura's teeth by some examples.
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