二次柱面与平面的位置关系

On Positional Relationship Between Cylinder and Plane

利用系数行列式和平移变换,从二次曲线与直线的位置关系入手,借助二次曲面的不变量和二次曲面的截口不变量,由二次柱面的系数与平面的系数组成的行列式判定二次柱面与平面的关系。

Using the coefficient determinant and translation transformations,we discuss the positional relationship between a quadratic cylinder and a plane,which is involved the invariant of the quadratic surface and the invariants of the section of the quadratic surface,starting with discussing the positional relationship between a conic and a line.So the positional relationship positional relationship between a quadratic cylinder and a plane is decided by mean of the sign of the determinant composed of their coeffi...