n维欧氏空间曲面及其性质

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.