This paper discusses an approach, which combines theoretical consideration and object oriented thoughts in order to make gear computing extentable.

A generalized calculus is investigated, which has no loss of geometrical information. Calculating the fundamental forms of the conjugated surface, the enveloped surface will have the same properties as the tool surface.

By using object oriented programming in a gear specific way, it is shown, that all programms for gear and tool design may have the same structure, and are based on the same virtual methods and classes.

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