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三角形欧拉圆的高维推广
引用本文:曾建国,曹新. 三角形欧拉圆的高维推广[J]. 数学的实践与认识, 2007, 37(15): 115-119
作者姓名:曾建国  曹新
作者单位:赣南师范学院,数学与计算机系,江西,赣州,341000
摘    要:
采用笛卡儿直角坐标法,定义了高维共球有限点集的"欧拉超球面"(它是三角形欧拉圆的高维推广)、"2号心"等概念,并揭示了它们的一系列基本性质.

关 键 词:n维欧氏空间  n维共球有限点集  n维共球有限点集的欧拉超球面  n维共球有限点集的2号心
修稿时间:2004-05-09

The Generalization of Euler Circle of Triangle in the Higher Dimensional Space
ZENG Jian-guo,CAO Xin. The Generalization of Euler Circle of Triangle in the Higher Dimensional Space[J]. Mathematics in Practice and Theory, 2007, 37(15): 115-119
Authors:ZENG Jian-guo  CAO Xin
Abstract:
The 'Euler hypersphere' (It's the generalization of Euler circle of triangle in the higher dimensional space) and 'No 2 center' of the higher dimensional consphere finite point sets is defined by Cartesian coordinates method,and its properties is studied.
Keywords:n-dimensional Euclidean space  n-dimensional consphere finite point sets  the Euler hypersphere of the n-dimensional consphere finite point sets  No 2 center of n-dimensional consphere
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