Lines on Planes in n-Dimensional Euclidean Spaces

被引：0
|
作者：
Kubo, Akihiro [1 ]
机构：
[1] Shinshu Univ, Nagano, Japan
来源：
FORMALIZED MATHEMATICS | 2005年 / 13卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper we introduce basic properties of lines in the plane on this space. Lines and planes are expressed by the vector equation and are the image of R and R-2. By this, we can say that the properties of the classic Euclid geometry are satisfied also in R-n as we know them intuitively. Next, we define the metric between the point and the line of this space.
引用
收藏
页码：389 / 397
页数：9
相关论文
共 50 条
  • [41] ON HYPERSURFACES IN CERTAIN N-DIMENSIONAL SPACES
    ONODERA, T
    TENSOR, 1968, 19 (01): : 55 - &
  • [42] Note on Weakly n-Dimensional Spaces
    Jan van Mill
    Roman Pol
    Monatshefte für Mathematik, 2001, 132 : 25 - 33
  • [43] N-Dimensional Binary Vector Spaces
    Arai, Kenichi
    Okazaki, Hiroyuki
    FORMALIZED MATHEMATICS, 2013, 21 (02): : 75 - 81
  • [44] Symmetry of n-dimensional packing spaces
    Maleev, AV
    Lysov, AE
    Potekhin, KA
    CRYSTALLOGRAPHY REPORTS, 1998, 43 (05) : 721 - 727
  • [45] PATH INTEGRATION OVER THE N-DIMENSIONAL EUCLIDEAN GROUP
    BOHM, M
    JUNKER, G
    JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (06) : 1195 - 1197
  • [46] Geometry of n-dimensional Euclidean space Gaussian enfoldments
    Ramon Carbó-Dorca
    Emili Besalú
    Journal of Mathematical Chemistry, 2011, 49 : 2244 - 2249
  • [47] ANGULAR MOMENTUM IN N-DIMENSIONAL SPACES
    GALLUP, GA
    JOURNAL OF MOLECULAR SPECTROSCOPY, 1959, 3 (06) : 673 - 682
  • [48] Geometry of n-dimensional Euclidean space Gaussian enfoldments
    Carbo-Dorca, Ramon
    Besalu, Emili
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 49 (10) : 2244 - 2249
  • [49] A Possible Cosmological Application of Some Thermodynamic Properties of the Black Body Radiation in n-Dimensional Euclidean Spaces
    Gonzalez-Ayala, Julian
    Perez-Oregon, Jennifer
    Cordero, Ruben
    Angulo-Brown, Fernando
    ENTROPY, 2015, 17 (07) : 4563 - 4581
  • [50] COHERENT STATES FOR N-DIMENSIONAL EUCLIDEAN GROUPS E(N) AND THEIR APPLICATION
    ISHAM, CJ
    KLAUDER, JR
    JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (03) : 607 - 620
12345