The reason I want to do this with kinematics is so I can use
straight cartesian G-code programs (XYZ) and run them on
this polar/cylindrical coordinate machine.  This will be a 3d-printer
type machine rather than metal cutting.  Picture a turntable
as the build platform, with a carriage moving radially above it
and a Z on the carriage moving up and down.  G-code would be 
G0/1/2/3 in the X-Y plane, converted to radius/angle moves.
Velocity is going to be a problem I see.  You go through a singularity
at zero radius, and the angular velocity must continuously vary to maintain
constant linear velocity.

I've got the mechanism assembled now, and have a kinematic function
compiled and running in simulation.  I should know pretty soon if it will
work.  More late...

-- Ralph
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