The general problem of transmitting motion between two shafts with uniform velocity is discussed in this paper. The methods used to synthesize the teeth of spur gears have been extended to three dimensions. While the present paper is limited to a discussion of friction gears the groundwork is laid for attacking the problem of toothed skew gears. Skew friction gears are shown to slip even under no load and therefore would appear to have a very limited usefulness.

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