画法几何学中的难点之一是求解两一般位置二次曲面的交线。
One of difficulties in descriptive geometry theories is to draw the intersection created by two general position intersecting quadric surfaces.
一个曲面和平行于射影平面的一个平面的交线到某个平面的射影。
The projection onto a plane of the intersection of a surface with a plane parallel to the projection plane.
轮齿与其分度圆柱面的交线在分度圆柱面所展开的矩形中为圆弧；
The line, at which the tooth intersects the graduated cylinder, is an arc in the developed surface of the cylinder.
具有公共对称平面的二次曲面的交线在该平面上的投影为二次曲线。
It is known that the projection of the intersection of quadrics with common plane of symmetry on this plane is a curve of second order.
论证了两曲面的交线为空间曲线，其方程为一元四次隐函数关系式；
It is proved that the intersecting line of the two curved surface is space curve, and the equation is quartic implicit function with one unknown.
提出了地层的任意方向切割方法，即适用于水平截面和斜截面的网格分割法和适用于竖直截面的交线分割法。
Two strata cutting methods were suggested, the grid cutting method to be used for horizontal and sloped sections, and the intersection line cutting method for vertical sections.
在特定条件下，椭圆锥与平面的截交线为圆。
Under definite conditions, the intersection of an elliptic cone with a plane is a circle.
在特定条件下，椭圆锥与平面的截交线为圆。
Under definite conditions, the intersection of an elliptic cone with a plane is a circle.
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