余弦定理

E~n中n维余弦定理和正弦定理的新证明

New Proving of the Law of Cosines and the Law of Sines in En

本程序精髓在于运用了余弦定理及符号函数。

The essence of the procedure lays in using the law of cosines and the corner formula .

k维单形上的广义余弦定理

Wide cosine theorem of k dimension simplex

本文用新方法讨论解决了n维椭圆空间S~n中若干几何问题。给出了关于n维球面单形的余弦定理、高的公式、内切及外接球半径r，R以及内心I与外心Q间的距离公式。

In this paper , we discuss some geometric problems in n dimensional elliptic space Sn to give the theory of cosine , the formula of highness , inradius , circumradius and distance between inscribed spherical centre and circumscribed spherical centre about n dimensional spherical simplex .

系统输出余弦定理及其应用

The Cosine Theorem of System Output and Its Application

于是余弦定理从此不再是一个纯粹的初等几何问题。

Then cosine theorem is no longer a pure problem from elementary geometry .

球面和伪球面上三角形的余弦定理

Cosine theorems of triangles on sphere and pseudo-sphere

古典几何的正弦定理和余弦定理

Sine and cosine theorems for classical geometries

立体几何的余弦定理和勾股定理

Cosine theorem and Pythagorean theorem in space

凸多面体的余弦定理

The Cosine Theorem of the Convex Polyhedron

利用余弦定理求解测设参数

Solving and Measuring Parameters by Cosine Law

高维余弦定理及正弦定理

Higher dimensional cosine and SINEs theorems

由球面对踵三角理论和球面三角形余弦定理，得出球面三角形在其三边恒定的情况下有两种构型及其这两种构型的特点；

Based on theory of spherical symmetry triangle and spherical triangle cosine theorem , the characteristics of two configurations of a spherical triangle is educed .

一种弯道丈量的简便计算方法&余弦定理在计算相应基准点和固定基准点中的应用

A simplified method of calculating the curve measurement & the usage of the law of cosine in calculating corresponding base points and fixed base points

本文旨在利用微分几何的方法，给出球面和伪球面上三角形的余弦定理的一个简便的内蕴证明。

Our goal in this paper is to give some explicit intrinsic proofs of thd cosine theorems of triangles on the sphere and the pseudo-spheres froms the point of view of differential geometry .

余弦定理并不是三角形所独有的特性，而是任何平面多边形、以及任何多面体（以面积为关注点）、甚至任何高维空间类似物（以广义体积为关注点）均适用的普遍规律。

The cosine theorem is not a unique characteristic of triangle , but any plane polygons and any polyhedron ( regard area as attention point ), even any many dimensional space similar objects ( regard broad value as attention point ) suitable universal law .

用余弦的加法定理不同的证明来说明一题多解的重要性上颌前牙三种不同方法根管预备后剩余根管壁厚度的研究

The Importance of the Various Solutions to One Question-Supported by the Methods of the Addition Theorem of the Cosine Law ; Residual dentin thickness in upper anterior teeth after root canal preparation