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

页码：34 / 41

页数：7

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