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Cog $A$ is at position: $Ax$, $Ay$, rotation: $Ar$ and number of teeth: $At$

Cog $B$ is at position: $Bx$, $By$ and number of teeth $Bt$. What is Cog $B$'s rotation such that teeth between Cog $A$ and Cog $B$ line up. There will be the same number of answers as there are teeth, but a 'base angle' is desired.

cog diagram

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    Image here: http://i.imgur.com/ICrhs.jpg2012-07-15

2 Answers 2