本文用数论方法推导出一个计算旋转体体积的近似公式，并给出该近似公式的误差估计。
An approximate expression of the volume of body of rotation together with its error estimation is derived on the basis of theory of numbers.
利用泰勒级数导出了阿基米德齿轮滚刀造形误差的近似公式。
This article USES Taylor Progression to figure out the approximate formula of the forming errors of Archimedes gear hobs.
结论周向应力的近似公式及其绝对误差的公式简单易行，便于临床应用。
Conclusion the approximate formula of circumferential stress and the absolute error is accepted, which is easy for the application.
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