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E~n中两几何元素位置关系的数值定理
NUMERICAL THEOREM ABOUT POSITION RELATIONS OF TWO GEOMETRIC ELEMENTS IN E~n
【摘要】 本文在“E~n中几何元素位置关系的数值分析”一文的基础上,建立了E~n中两几何元素的交维数(r),关联度(d_i)、平行度(d_p)和垂直度(d_r)的关系式,并由此提出和证明了关于r,d_i,d_p,d_r数值定理,从而制定其统一的数表。研究的结果使E~n中两几何元素位置关系的数值分析更加简明和完善。
【Abstract】 In this paper,based on“Numerica Analysis of Positional Relations of Geometric Elements inE"”,the guantity relations is conducted among the dimension of intersection(r)degree of corre-lation(d_i),depth of parallelism(d_p)and verticality(d_r)of two geometric elements in E~n,and anumerical theorem about r,d_i,d_p,d_r is protested and proved.According to the theorem,a unitizedtable about r,d_i,d_p,d_r is made.The results of this studying will simplify and improve the numeri-cal analysis of the position relations of two geometric elements in E~n.
- 【文献出处】 工程图学学报 ,Journal of Engineering Graphics , 编辑部邮箱 ,1991年01期
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