Pythagorean

origin of music theory: pythagorean school(ⅰ)

音乐理论的起源：毕达哥拉斯学派的理论（上）

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The Pythagorean is not only the basis of some math theorems but also be widely used in life and production.

勾股定理不仅是一些数学定理的基础，在生产和生活中的应用也很广泛。

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The general expressions in integer of the Pythagorean Theorem have infinite equivalent forms.

勾股定理（即毕达格拉斯定理）的全部整数解表达式有无穷多种，目前常用的勾股定理全部整数解表达式，不过是其中最简通解式而已。

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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。

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Area and Proof of Pythagorean Theorem~ α

面积与勾股定理的证明

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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。

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Cosine theorem and Pythagorean theorem in space

立体几何的余弦定理和勾股定理

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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。

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a study of thoughts of number as a principle at the early stage of pythagorean school

论早期毕达哥拉斯学派的数本原思想

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A proof on the Pythagorean theorem in n-dimension vector space

n维空间中勾股定理的一个证明

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applications of the higher dimensional pythagorean theorem

高维Pythagoras定理的应用

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Make the Demonstrating Device of the Pythagorean Theorem with the Glass Plate

用玻璃板制作勾股定理演示器

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and i have tried to apprehend the pythagorean power by which number holds away above the flux.

我也曾经去了解毕达哥拉斯给予数的力量，这种力量影响万物的变迁。

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Pythagorean Hodograph Spiral Based Gentle Tool Path

基于Pythagorean速端螺线的平稳加工路径

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based on the interpretation of the cosmic constitution through harmony in numbers, pythagorean school established cosmic aesthetics.

他们用数的和谐解释宇宙的构成，创立了宇宙美学理论。

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The construction of Pythagorean hodograph quintic spirals is introduced. Its use for the various transitions encountered in highway design is analyzed. Practical examples of highway design, namely, straight line to circle, circle to circle with C transition, using quintic PH spirals are illustrated.

介绍了五次PH螺线的构造，并将其应用于高速公路过渡设计中，展示了应用五次PH螺线进行直线到圆的过渡，圆到圆的C形过渡的实例。

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concerning derivation of matrix of pythagorean numbers

关于勾股数的矩阵生成法

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a complex number discussion about pythagorean numbers

勾股数的复数讨论

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on discovery of generated matrix for pythagorean number groups

勾股数组生成矩阵的发现探究

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on the solution of pythagorean array

关于勾股数组的解

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reviewing the history of science, scientific aesthetics stems from the pythagorean traditional mathematical rationality in ancient greece.

综观科学史，科学美发源于古希腊毕达哥拉斯学派的数学理性传统。

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a research study is given to the discovery of generated matrixes of pythagorean number groups in document [ 1].

对文献[1]中给出的勾股数组生成矩阵的发现作了探索性研究。

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ask students to demonstrate a proof of the pythagorean theorem.

让学生演示毕德哥拉斯定理的一种证明。

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In this paper, we find all Pythagorean numbers in the complex quadratic field with class-number two.

摘要本文中求出所有类数为2的二次代数复数体的毕氏数.

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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。

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this paper discusses the relations among the main invariants of the orthogonal simplex by using the higher dimensional pythagorean theorem.

本文利用高维形式的pythagoras定理给出正交单形的主要不变量之间的关系。

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One New Study for First Proving of the "Pythagorean Theorem"

勾股定理最早证明新考

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Using VBA Programming of PowerPoint to Make Exploration-and-Verification Interactive Courseware of Pythagorean Theorem

利用PowerPoint的VBA编程功能制作勾股定理的探索与验证交互性课件

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a structural theorem of continuous pythagorean number

一个连续勾股数的构造定理

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in addition, pythagorean school explored art from the perspective of harmonious proportion.

毕达哥拉斯学派还从和谐的比例的角度，研究了艺术问题。

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