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Involute
Involute  
The curve formed by the path of a point on a straight line as the line unwinds along the circumference of a circle. This curve is generally used as the profile of gear teeth.
Therefore, if a circular disc was placed on a drawing board, an involute curve would be scribed by the end of a taut line if it was unwound from the disc. The disc represents what is known as the base circle because this is the circle from which the involute tooth curves are derived.
Whereas:
From Gear Data

Formula:

 

 

 

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