1) Much chord theorem
多弦定理
1.
In this paper,the Three chord theorem indicated by Hou Ming hui was given some proof for its correctness and evolved to Much chord theorem.
证明并扩展了侯明辉提出的“三弦定理” ,认为三弦定理只是多弦定理的特
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) sine theorem
正弦定理
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.
Based on the concept, the sine theorem for simplex is generalized further.
本文利用 Grassmann代数建立 n维欧氏空间中单形的 k级 n- k+ s维顶点角的概念 ,在此基础上对单形的正弦定理再作推广 ,并获得单形新的一类体积公式和一个几何不等式 。
5) Three chord theorem
三弦定理
1.
In this paper,the Three chord theorem indicated by Hou Ming hui was given some proof for its correctness and evolved to Much chord theorem.
证明并扩展了侯明辉提出的“三弦定理” ,认为三弦定理只是多弦定理的特
6) Four chord theorem
四弦定理
补充资料：弦
弦 弦 ①弓弦。《素问·平人气象论》：“死肝脉来，急益劲，如新张弓弦。” ②弦乐器的弦。《素问·玉机真脏论》：“真肝脉至，中处急，如循刀刃责责然，如按琴瑟弦。” ③月亮半圆之称。《标幽赋》：“弦不夺而朔不济。” ④脉象名。弦脉。见“弦脉”条。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条