I am looking for an algorithm or source code for a polar coordinate
function that defines the shape of half of a symmetrical tooth of a
simple spur gear.

The function will be called multiple times by a plotting routine. 
Inputs to the function would include various basic gear dimensions,
number of teeth, and an angle; output would be the radius from the
center of the gear to a point on its perimiter that passes through
that angle.

I asked a variation of this question but was unable to get the result
I wanted:

https://answers.google.com/answers/main?cmd=threadview&id=37323

One requirement of the ideal solution is that gears plotted using it
must mesh with each other properly.

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Request for Question Clarification by mathtalk-ga on 09 Feb 2003 13:44 PST

Hi, gw-ga:

Is it fair to assume that you were satisfied with the parameters and
assumptions used in the previous thread (about tooth shape) and would
like to have a more explicit representation of the tooth shapes as a
polar function?

I'm afraid that developing source code and testing it would go beyond
the level of effort usually associated with the price currently
offered for this question.  According to the Google Answers
guidelines:

https://answers.google.com/answers/pricing.html  

questions at the $2-$5 price would perhaps answerable with a single
link or piece of information.

Anything you could do to make the scope of your question narrower and
more precise would greatly assist researchers like myself interested
in trying to write up the perfect answer for you.

regards, mathtalk-ga

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Clarification of Question by gw-ga on 14 Feb 2003 07:54 PST

In the prior question thread, the gear teeth always turned out pointed
rather than blunt, making it impossible for two like gears to mesh
together.

I don't necessarily need source code, just the proper equations needed
to define the basic gear shape.