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证明了在任意交叉角、母面为任意曲面的一般条件下 ,二次包络都必然可以形成奇点共轭 ;并给出了瞬时接触线的具体表达式 .构造了一映射空间 ,在此空间内的分析表明 ,奇点邻域接触线的几何性态与映射曲面的微分结构存在必然的联系
It is proved that the quadratic envelope can form the singularity conjugate under the condition of arbitrary cross angle and the mother surface of arbitrary surface, and the concrete expression of instantaneous contact line is given. A mapping space is constructed, The analysis in space shows that there is a necessary relationship between the geometric state of the contact line in the singularity neighborhood and the differential structure of the mapping surface