[1]李思泮.四维空间中的重合法[J].东南大学学报(自然科学版),1984,14(1):54-63.[doi:10.3969/j.issn.1001-0505.1984.01.006]
 Li Si-pan.The Method of Coincidence In Four-Dimensional Space[J].Journal of Southeast University (Natural Science Edition),1984,14(1):54-63.[doi:10.3969/j.issn.1001-0505.1984.01.006]
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四维空间中的重合法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
14
期数:
1984年第1期
页码:
54-63
栏目:
本刊信息
出版日期:
1984-03-20

文章信息/Info

Title:
The Method of Coincidence In Four-Dimensional Space
作者:
李思泮
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Author(s):
Li Si-pan
关键词:
超投影面 超平面 四维空间 重合法 平面旋转 轴平面 迹线 作图 旋转轨迹 一般位置
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1984.01.006
摘要:
本文针对苏联Д·Н·斯巴捷纳克所写的“四维空间中的重合法”一文(见苏联“应用几何与工程图学”1980年30期)全面地、深入地研究了四维空间中的重合法,指出并纠正了该文中的错误,其中包括图解结果的完全错误以及在有关空间分析的叙述中文字上的严重错误。此外,本文补充了非迹线表示的超平面与超投影面的重合法,对平面与超投影面以及与投影面的重合问题,也作了进一步的研究,从而使四维空间中的重合法的内容更加完整、深入。
Abstract:
After studying all-sidedly and thoroughly the method of coincidence in four-dimensional space in the article (refer to the 1980 30)written by the author has pointed out and corrected in this paper some mistakes in that article, which include both the entire mistakes in graphing results and serious literal errors in its discussion, about spatial analysis. In this paper the author has supplemented the contents with bringing a hyperplane given by non-traces into coincidence with a hyperprojection plane. Besides, the author has still gone further into such a problem as how to bring a plane into coincidence with a hyperplane or a projection plane, So as to make the contents of the method of coincidence in tour-dimensional space more complete and more thorough.

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更新日期/Last Update: 2013-05-01