This article utilizes the theory ofinvoluteofcircle and the formula of the distance between two points to obtain two radiated measurement ways of defining the starting line.
本文根据圆的渐开线原理和两点间的距离公式，得出两种用放射式丈量法测画不分道跑起跑线的新画法。
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With the tool ofcircle vector function, theinvolute helix profile with error is given, and with the media of engagement line, the error compensation mathematical model is established.
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.