Abstract
In this chapter, we will first show how to calculate the tooth shape of a gear, when it is conjugate to a basic rack of arbitrary shape. This material is not required when the basic rack has straight-sided teeth, since we have already shown how to calculate the tooth profile shape of an involute gear. However, the method described will useful for finding the shapes of gear tooth fillets, which are conjugate to the circular tips of the cutter teeth.
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