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.
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