The author deals with the property of involute gears according to which the velocity ratio is constant for any distance between axes. It is known that the involute is the only shape which has this property, but it is not well known in a detailed way, and the only complete demonstration dates from Bricard. For this reason the present paper has an historical interest and, on the other hand, it proposes a new proof better understandable nowadays for it is based on Euler-Savary properties only.
On the Reverse of One Property of Involute Gears
Contributed by the Power Transmission and Gearing Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received Feb. 2000. Associate Editor: R. F. Handschuh.
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Fayet, M. (May 16, 2002). "On the Reverse of One Property of Involute Gears ." ASME. J. Mech. Des. June 2002; 124(2): 330–333. https://doi.org/10.1115/1.1456162
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