学习过大学物理和高等数学的同学会发现，这个等式会在很多地方出现，不只是在直角三角形中。
Those of us who stuck it out into college physics and higher math learned that this equation shows up a lot more than in just right triangles.
我亲眼目睹有人发布有关微积分和三角法的恒等式难题，并迅速得到别人的解答。
I've seen people post Calculus and Trigonometry equations and get them solved fairly quickly!
例如，R 2的平方、二维向量的长度、三角不等式等都存在勾股定理。
For instance, it's also the square of the Euclidean norm on R2, the length of a two-dimensional vector, a part of the triangle inequality, and quite a bit more.
很容易构造一个不服从三角形不等式的例子。
It is easy to construct an example which disproves the property of triangle inequality.
本文首先使用初等方法导出三角形与四边形的等周不等式，进而用富里埃级数方法解决了一般等周问题。
We deduced equal perimeter inequality of triangle and quadrangle by elementary mathematical methods first and solved general equal perimeter problems by using methods of Fourier series.
你可以简要地说其实证明就是初等矩阵理论，三角不等式和鸽笼原理的运用。
You can say that the proof USES nothing beyond elementary matrix theory, repeated use of the triangle inequality, and the pigeonhole principle.
建立一个含指数参数的三角形不等式。
本文探讨了复数与三角、几何、不等式和二项式的关系以及它在相关问题中的应用。
This article has dealt vrith the relationships between complex number and triangle, geometry, inequality and binomial and their applications in related exercises.
给出了大加权三角形不等式的一个简单推论，由之简捷地推导出一些新的涉及三角形内部任一点的三元二次型不等式。
This paper presents a simple deduction of an inequality for heavy weighted triangles, and with it some new quadratic inequalities of three variants at any point within a triangle.
建立两个含角参数的三角形不等式，加强了三角形基本不等式。
This paper established two triangle inequalities containing angular parameter and the fundamental inequality of triangle was strengthened.
不必去钻石记住几何上的证明和三角恒等式，虽然那确实是高中学校要求你必须去做的。
No need to dive right into memorizing geometric proofs and trigonometric identities. But that's exactly what high schools have you do.
不必去专研记住几何上的证明和三角恒等式，虽然那确实是高中学校要求你必须去做的。
No need to dive right into memorizing geometric proofs and trigonometric identities. But that's exactly what high schools have you do.
不必去记住几何上的证明和三角恒等式，虽然那确实是高中学校要求你必须去做的。
No need to dive right into memorizing geometric proofs and trigonometric identities. But that's exactly what high schools have you do.
利用三角形的重心坐标，证明涉及三角形平面上一动点的一些不等式。
Prove some inequalities involving a moving-point on the plane of triangle with it′s distance coordinates.
利用基本三角恒等式、物理学中几何光学知识和几何画板软件等三种思维方法，来探讨一个最短时间问题的解法。
The author explores the solution to the best time problem according to three ways of thinking, including basic trigonometric identity, geometrical optics of physics and Geometer's Sketchpad.
利用辛变换条件得到了一些新的切比雪夫多项式公式、三角恒等式和双曲恒等式。
In this paper by using the symplectic transformation condition, some new formulas including Chebyshev Polynomial, trigonometric identity, hyperbolic identity were obtained.
给出两个新的三角不等式，并将其应用于讨论角成等比的三角形形状。
In this paper, two new trigonometrical inequalities are given, and applied to discuss triangle shapes.
在[2]中尹景尧得出关于单纯形的一类三角不等式。
In [2], YIN Jing-rao gets the triangle inequality about simplex.
利用三角形重心坐标证明涉及三角形内部一动点的若干几何不等式猜想。
We apply the method of bargcentric coordinates to give the proof of some geometric inequality conjectures about a motion point that is the triangle in sids.
运用不同的方法，证明了一组三角形轮换对称不等式。
The paper established a group of inequalities of rotating symmetry in a triangle with different methods.
运用不同的方法，证明了一组三角形轮换对称不等式。
The paper established a group of inequalities of rotating symmetry in a triangle with different methods.
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