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3维射影空间中笛沙格定理的推广
引用本文:侯忠义.3维射影空间中笛沙格定理的推广[J].首都师范大学学报(自然科学版),1994,15(2):28-30.
作者姓名:侯忠义
作者单位:首都师范大学数学系
摘    要:本文将笛沙格定理推广到3维射影空间,证明了空间两个四面体对应顶点的连线交于一点,则其对应侧面的交线共面.

关 键 词:射影空间  对偶图形  笛沙格定理

The Generalization of Desargus Theorem for 3-Dimension Projective Space
Hou Zhongyi.The Generalization of Desargus Theorem for 3-Dimension Projective Space[J].Journal of Capital Normal University(Natural Science Edition),1994,15(2):28-30.
Authors:Hou Zhongyi
Abstract:The paper gives the generalization of Desargus theorem for 3-dimension projective space and proves that if the lines joining corresponding venices of two tetrahedra are concurrent in a point,then the corresponding faces,if extended, will intersect in three coplanar straight lines.
Keywords:projective spaces  dual graphs  dual propositions  Desargus theorem  
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