On the cross ratios of points and lines in Moufang planes

被引：0
|
作者：
Ciftci S. [1 ]
Çelik B. [1 ]
机构：
[1] Uludag University, Faculty of Sciences and Art, Department of Mathematics, Görükle/Bursa
来源：
Journal of Geometry | 2001年 / 71卷 / 1期
关键词：
Cross ratio; Moufang planes;
D O I：
10.1007/s00022-001-8550-8
中图分类号：
学科分类号：
摘要：
In this paper, first we extend the known definition of cross-ratio of collinear points to whole Moufang plane. Later we introduce the cross-ratios for lines, and we adapt the known results about the cross-ratios of points to cross-ratios of lines using the principle of duality. Finally, we give a theorem which describes the relation between the cross-ratios of points and lines. © Birkhäuser Verlag, 2001.
引用
收藏
页码：34 / 41
页数：7
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