limits in involute curve derivation

jakeisthesnake

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Joined
Mar 25, 2011
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Hello folks,

I am working on a side project/excersize in math to derive the involute curve formed by the lines as can be seen in the following pictures:
42-construction.jpg

43-profile.jpg

(images courtesy of Guerilla guide to CNC: http://lcamtuf.coredump.cx/gcnc/full/)

After the following reference diagram I lay out how far I have gotten with the derivation; any hints fro what to do next would be greatly appreciated.

image

image



Link to derivation written in Latex

If there is anything I can to clarify, please let me know.
~Jake
 
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