Re: [math-fun] Constant velocity implies round wheels?

Based on what I read, the Euler design of using a circle-involute for the sides of circular gear teeth does not involve any slippage. Don't know if that generalizes to rack & pinion gears (one round, one straight). --Dan On Jul 10, 2014, at 4:56 PM, David Wilson <davidwwilson@comcast.net> wrote:

This would be the simple case, I assume it can be generalized to other curves by limiting a smooth rimmed curve to the unsmooth rim in question. Hence, I suspect that if any gear actually rolls with constant linear and angular velocity at its axis point, it is due to slippage.