以圆矢量函数和媒介齿条为工具，推导了接触迹方程，讨论了接触迹的特性。
Using circle vector function and medium rack as tools, the equation of contact trace is deduced, and its characteristic is discussed.
以圆矢量函数为工具，推出了误差条件下的渐开螺旋面方程，并以啮合线为媒介，建立了测量蜗杆误差补偿的数学模型。
With the tool of circle vector function, the involute helix profile with error is given, and with the media of engagement line, the error compensation mathematical model is established.
文章利用脐点的性质研究了二次曲面的圆截口问题，并给出了与二次曲面交线为圆的圆截口的方程的一种求法。
In this paper, we make use of the properties of the umbilic to research circle section question of quadric in 3-dimensional Euclidean space. We give the equations of these circle sections.
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