n维欧氏空间曲面及其性质

2014-05-20 02:32

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摘要

本文通过对3维欧氏空间曲面的定义，方程形式及其切平面，法线定义及方程的研究，从而推广到维情形，得到维欧氏空间曲面的切平面和法线的定义及方程的基本求法，并证明了1些推导出来的定理，进而对维欧氏空间曲面及其性质进行了初步地研究.
关键词维欧氏空间曲面切平面法线

A Surface and character in N-D Eucilidean spaces

ABSTRACT

By the research of the definition ,equation form ,tangent plane and the definition and equation of the normal of the surface in 3-D Eucilidean,that of the surface in N-D Eucilidean is found..After much work ,the basis solutions of that of the surface in N-D Eucilidean are attained.whenwhile some deduced results in this paper are proved,the characters and properties of the surface in N-D Eucilidean are studied initially.

Keywords: N-D Eucilidean spaces surface tangent plane normal.