From the investigation about the dimensions of skew-axes gears now in common use, the ratio of the pitch radius of pinion to that of gear is found to depend almost only upon the gear ratio. On the other hand, the offset of the gear axes is desired to be as large as possible in usual cases of gear transmission mechanisms. Under these situations, the position of the mean contact point where a pair of gear teeth is expected to transmit power in high efficiency is investigated. The results are as follows: 1) The mean contact point which corresponds to high efficiency is in the neighborhood of the ruled surface swept by the instantaneous axis as the gear ratio continuously varies. 2) The majority of the mean contact points of gears now in use nearly coincide with the point mentioned in 1.

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