以无穷远直线为基础讨论二阶曲线的中心、直径、渐近线等几个仿射概念，并联系解析几何中的有关性质，深入讨论它们之间的一致性。
Based on the infinitely straight line, this thesis discusses the concepts of curve of second orders center, diameter, advance gradually in the line.
然后，再将非退化二阶曲线到自身的双射为对合的充要条件推广到退化二阶曲线两相异点列的情形。
Then, the latter necessary and sufficient condition is generalized to the case for the two different point ranges of degenerate second order curve.
反之满足这一条件的点所构成的二阶曲线一定是椭圆。
On the other hand, the curve of second order composed with those points accord with above-mentioned factor is sure to an ellipse.
通用模型控制(CMC)算法的参考轨迹是一条标准的二阶曲线，该控制器的参数具有明显的物理意义，控制器参数整定方便。
The reference trajectory of common model control (CMC) scheme is a classic second order curve. The parameters of CMC are of very explicit physic meaning and it is very easy to tune for the controller.
通用模型控制(CMC)算法的参考轨迹是一条标准的二阶曲线，该控制器的参数具有明显的物理意义，控制器参数整定方便。
The reference trajectory of common model control (CMC) scheme is a classic second order curve. The parameters of CMC are of very explicit physic meaning and it is very easy to tune for the controller.
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