He proved the universal validity of the Pythagorean theorem and is considered the first true mathematician.
他证明了毕达哥拉斯定理的广泛有效性并被认为是世界上第一位真正的数学家
The assignment was to make a construction that could be used in proving the pythagorean theorem.
布置的作业是作一个可以用于证明毕达哥拉斯定理的图。
Although his measurements were much more accurate than ours, triangles and Pythagorean theorem were at the heart of his calculations.
虽然他的测量比我们精准许多，但三角形和毕氏定理都是他计算的核心。
He is best known for the Pythagorean theorem, which bears his name.
他因以自己名字命名的毕达哥拉斯定理而最为知名。
The teaching case that the Pythagorean theorem that this text offers proves is the application of probing into teaching.
本文提供的勾股定理证明的教学案例就是一次探究性教学的应用。
If you remember the Pythagorean theorem
如果你还记得勾股定理
Another form of the Pythagorean theorem.
另一种形式的勾股定理。
The assignment was to make a construction that could be used in proving the Pythagorean theorem.
作业是给勾股定理做一个解释。
The linear distance of any object space point in the sphere, from the center of the sphere, can be calculated by using the Pythagorean Theorem
在球上的从中心开始的空间点的线性距离，能通过勾股定理来计算
The paper discussed the internal connection of Chinese ancient mathematics with Golden Section in the five aspects of Pythagorean theorem, Hetuluoshu (Markings of the Yellow River and Written Signs of the River Luo), Jiaxian Triangle, and proven that Golden Section is actually involved in Chinese ancient mathematics but with different expressions not as clear as in the deduction by Euclid, which indicates that the mathematics between China and the Western can be connected in one hand, and in the other hand, ...
本文从勾股术、河图洛书、贾宪三角形等五个方面论述了中国古代数学与黄金分割率的内在联系，证明中国古代数学实际上蕴涵了黄金分割问题，只是其表达方式有所不同，不像欧几里德几何那样演绎得清楚明白。这一方面说明，中西数学是可以会通的，另一方面也说明，中国古代数学有其独特的路数与价值，任何简单的比附或贬抑都是毫无意义的。
So, based on previous experience with geometric dissection problems, I have decided to do a research on regular triangle dissection extending from Pythagorean theorem.
因此，承袭著之前处理几何问题的经验，决定挑战毕氏定理演译的正三角形分割研究。
Mathematics: Understands and applies basic and advanced properties of the concepts of geometry; Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems; Understands the basic concepts of right triangle trigonometry (e. g., basic trigonometric ratios such as sine, cosine, and tangent Uses trigonometric ratio methods to solve mathematical and real-world problems (e. g., determination of the angle of depression between two markers on a contour map with different elevations Uses properties of and relationships among figures to solve mathematical and real-world problems e. g., uses the property that the sum of the angles in a quadrilateral is equal to 360 degrees to square up the frame for a building; uses understanding of arc, chord, tangents, and properties of circles to determine the radius given a circular edge of a circle without the center
数学：理解和应用几何概念的初级和高级特性；用毕德哥拉斯定理、逆定理以及特殊直角三角形性质解决数学的和现实世界的问题；理解基本的直角三角形三角比；运用三角比方法解决数学的或现实的问题。（等高线图上的两个标记之间的俯角确定）运用形体之间的关系及其属性解决数学的或现实的问题（利用四边形内角和等于360度来为建筑物框架取正，运用弧，弦，切线和圆的性质确定缺少中心的一段圆弧的圆心
Have students research different proofs of the Pythagorean Theorem and create a poster demonstrating one such proof using print and Web resources.
让学生利用打印文字材料和互联网上资料研究毕德哥拉斯定理的不同证明，并选其中一种证明方法制作一幅海报。
They also demonstrated knowledge of the Pythagorean theorem well before Pythagoras, as evidenced by this tablet translated by Dennis Ramsey and dating to c.
他们在毕达哥拉斯之前，也证明了毕达哥拉斯定理。
Researched Proposition on Pythagorean Theorem and Projection Theorem Analyzing the trends of proposition design on physical experiment in national college-entrance examinations
有关勾股定理、射影定理的研究性论题高考物理实验试题设计趋势分析
It is generally considered that the Greece mathematician, Pythagoras, first proved the Pythagorean theorem, but this is not reliable.
在西方，一般都认为：希腊数学家半达哥拉斯（Pythagoras）最早证明了勾股定理，因而都习惯地称这个定理为毕达哥拉斯定理。但这一看法历史上并没有可靠的依据。
This article introduces the whole course of the demonstrating device of the Pythagorean theorem with the glass plate.
介绍了用玻璃板制作勾股定理演示器的全过程。
Context: The Pythagorean Theorem was proved using deductive reasoning.
上下文：毕德哥拉斯定理被人们运用演绎推理加以了证明。
By Combining both the Chines and western mathematical thinking, four new proof methods of Pythagorean theorem were demonstrated.
通过融合中西两种数学思想方法，给出了“勾股定理”的四种新的证明方法。
The most complicated part, Devlin says, is our good old friend the Pythagorean theorem.
Devlin说，最复杂的部分便是我们熟知的毕达哥拉斯定理。