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本文采用解析几何矢量法，推导出刀具半径补偿中直线与圆弧交点，并能迅速推广到圆弧与圆弧的交点，且可避免象限讨论。
In this paper, the analytic geometry vector method is used to derive the intersection point of the line and the arc in the tool radius compensation, which can be rapidly extended to the intersection point of arc and arc, and can avoid the quadrant discussion.