Principles of Mechanism. a Treatise On the Modification of Motion By Means of the Elementary Combinations of Mechanism, Or of the Parts of Machines
Principles of Mechanism. a Treatise On the Modification of Motion By Means of the Elementary Combinations of Mechanism, Or of the Parts of Machines
S W Stillman Williams Robinson
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We may Demonstrate the Principle respecting the above exact construction of Olivier by use of Fig. 202 — in some respects the same as one given by Grant. Here, for the pitch surfaces of the proposed skew gears, we take AD and BE, the cylinders of the gorge circles, touching at 0, between which cylinders in common tangency is a plane OOy upon which are parallel lines, the normal pitch of teeth apart. Now suppose the pl^ne to be moved along with its parallel lines maintained parallel to a fixed l...ine, and that the cylinders AD and BE are revolved by the plane in such a way as to allow no lateral slipping of the parallel lines ot G Oft tlie Digitized by Google AXES CBOSSING WITHOUT MEETING. 185 cylinders, while at the same time admitting endlong sliding of the lilies in their own tracks on the cylinders to any extent. It is plain that if the lines could leave an impression of themselves on the cylinders the latter would appear like perfect screws, having a num- ber of linear threads. Now suppose that the cylinders had been covered with some easily cut material during this rolling, and that the material within the surfaces cut by the lines on G remained attached to the cylin- ders.
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