一道几何命题的衍变推广

Development and Generalization of a Geometric Proposition

欧氏几何中与圆有关的命题使之衍变推广到更为广泛的空间几何—射影几何,而射影几何是欧氏几何的母几何。本文将利用射影变换将圆射影变换为常态二次曲线,以丰富射影几何的内容。另外,将命题衍变推广到平行四边形、正N边形上成立。

The authors attempt to enlarge Euclidean geometry proposition related with circle to the broader scope of projective geometry which is the mother＇ s geometric of Euclidean geometry. The authors changed the circle projective transform to the second normal curve so as to enrich the contents of projective geometric by use of projective transform. Furthermore, the authors extended the proposition defining to parallelogram and N -dimensional squares.