Only in the middle section of the tooth width, the profile of the gear with arcuate tooth traces is an involute; the profiles are envelopes of hyperbolas in the other sections which are parallel to the plane mentioned. Up to now, there is no publication dealing with the possibility of gear modification in this respect. By using mathematics in meshing theory, this paper shows that the gearing only with reference center distance could be used other than with modified center distance.
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