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n維歐氏空間曲面及其性質(zhì)
摘 要
本文通過對(duì)3維歐氏空間曲面的定義，方程形式及其切平面，法線定義及方程的研究，從而推廣到 維情形，得到 維歐氏空間曲面的切平面和法線的定義及方程的基本求法，并證明了1些推導(dǎo)出來的定理，進(jìn)而對(duì) 維歐氏空間曲面及其性質(zhì)進(jìn)行了初步地研究.
關(guān)鍵詞 維歐氏空間 曲面 切平面 法線
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.
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