old film on gears & transmissions

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Nice...

just for a bit of trivia, if you want a correctly profiled tooth, the shape can be obtained by wrapping string around the shaft, and tracing a point on the tight string as it's unwound.

For a rack, the diameter is effectively infinite, so the tooth profile is straight, not curved.

Means that you can machine a "rack" then use it to cut the teeth on any sized gear, and they will mesh.
 
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