1) normal cosine theorem
法式余弦定理
2) cosine theorem
余弦定理
1.
Recently,th e sine theorem and cosine theorem in the Euclidean plane E~2 were extended to the 3-dimensional Euclidean space E~3.
近期将欧氏平面E2上的正弦定理和余弦定理推广到三维欧氏空间E3中,建立了E3中四面体空间角正弦定理、二面角正弦定理和四面体余弦定理,利用向量给出了三维余弦定理和三维正弦定理的简单证明。
2.
This article first elucidates the concept of the acreage outer normal vector on \%n\%dimensional singleentity and then establishes an outer normal vector identical equation of any \%n\% sides(\%n\%1 dimensonal singleentity) of \%n\%dimensional singleentity,from which the projection theorem and the cosine theorem of \%n\%dimensional singleentity can be educed.
首先给出n维单形面积外法向量的概念,然后建立任意n维单形n个侧面(n-1维单形)面积外法向量的一个恒等式,由此推出n维单形的射影定理和余弦定理。
3) cosine law
余弦定理
1.
Chapter 1 introduces the concept of multi-dimensional angle and some concepts related, gets a sine law in another way for a simplex and obtains a new way to prove the second cosine law and the Bartos sine law for a simplex.
第一章介绍单形的多维角与相关的概念,给出了单形一种形式的正弦定理,并给出了单形第二余弦定理和Bartos正弦定理的新证明。
4) law of cosines
余弦定理
1.
Get using the theory and method of Grassmann algerbra get a new way of proving the first law of cosines in the n-dimensional Euclidean space and use it get a easy way of proving the law of sines in the n-dimensional Euclidean space.
利用Grassmann代数的理论与方法,给出了n维欧氏空间En中n维单形第二余弦定理一种简单的证明。
5) the generalized cosine-theorem
广义余弦定理
6) high dimensional theory of cosine
高维余弦定理
补充资料:余弦定理
余弦定理
cosine theorem
两边与其夹角的余弦之积的二倍: eZ=aZ+bZ一Zab cosC,这里,a,b,c是三角形的三个边,C是a和b之间的夹角.余弦定理【。更.犯伪曰扣图1二憾犯扭叮。.T份碑M川 三角形一边的平方等于另外两边的平方一和减去这
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