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.
为进行斜齿锥齿轮副的齿面接触分析，并直观显示齿面接触区，利用圆向量函数和球向量函数的矢量回转和坐标变换方法，建立了斜齿锥齿轮齿面接触分析的数学模型；
To analyze and display the contact of skew bevel involute gears, a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.
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