节点文献
椭圆的一个基本性质的高等几何解释
A Basic Quality of Ellipse’s with High Geometry
【摘要】 运用高等几何中二次曲线的度量理论证明了椭圆的一个基本性质:椭圆上的任一点到两焦点的距离之和为定长;反之满足这一条件的点所构成的二阶曲线一定是椭圆.
【Abstract】 With a framework of quadratic curve’ metric theory,anelementry nature of ellipse is proved:The sum of the distance from any point of ellipse to the two focuses is fixed-length.On the other hand,the curve of second order composed with those points accord with above-mentioned factor is sure to an ellipse.
【关键词】 椭圆;
二阶曲线;
二级曲线;
射影映射.;
【Key words】 ellipse; curve of second order; curve of second grade; projecting mapping.;
【Key words】 ellipse; curve of second order; curve of second grade; projecting mapping.;
- 【文献出处】 许昌学院学报 ,Journal of Xuchang University (Social Science Edition) , 编辑部邮箱 ,2005年05期
- 【分类号】O182.1;
- 【被引频次】1
- 【下载频次】236