?Pythagorean

Pythagorean發(fā)音

英：　　美：

Pythagorean中文意思翻譯

adj. 畢達哥拉斯哲學

n. 畢達哥拉斯哲學的

Pythagorean常見例句

1 、Greek philosopher and mathematician who founded in southern Italy a school that emphasized the study of musical harmony and geometry.He proved the universal validity of the Pythagorean theorem and is considered the first true mathematician.───畢達哥拉斯古希臘哲學家和數(shù)學家，在意大利南部創(chuàng)立學派，強調(diào)對音樂和諧及幾何的研究：他證明了畢達哥拉斯定理的廣泛有效，性并且被認為是世界是第一位真正的數(shù)學家

2 、three-dimensional four-degree pythagorean number───三維四次勾股數(shù)

3 、The numbers of the Pythagorean Lambdoma are 1, 1, 1, 1 an 1, 2, 3, 4.───畢達哥拉斯的藍道瑪是1，1，1，1和1，2，3，4。

4 、Pythagorean hodograph(PH) spiral───Pythagorean速端螺旋線

5 、In this paper,we proposed the average order of the Primitive Pythagorean triplets on Diophantine equation a+4+b+2=c+2, and presented one asymptotic estimation formula.───研究了不定方程 a4+b2 =c2 的整數(shù)解的組數(shù) ,并得到它的一個漸近估計式 .

6 、pythagorean numbers───畢達哥拉斯數(shù)

7 、All irreducible Pythagorean triples less than 500 are calculated and listed in this paper.───最后列出了500以內(nèi)的互素勾股數(shù)表。

8 、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類數(shù)為2的二次代數(shù)復(fù)數(shù)體的畢氏數(shù)。

9 、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

10 、And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. cheap Wow Gold A little of this, but not much, I have achieved.───一個邂逅，一個眼神，就會讓人神使鬼差的丟魂撂魄，往往剎那間就跌進愛情的漩渦，愈是掙扎，便陷的愈深。

11 、primitive Pythagorean triplet───本原Pythagorean數(shù)組

12 、n -dimensional four-degree pythagorean number───n維四次勾股數(shù)

13 、I have wished to know why the stars shine.And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.A little of this, but not much I have achieved.───我渴望了解人類的內(nèi)心深處，也渴望探求星星為什么發(fā)光以及理解畢達哥拉斯力量的源泉。

14 、And I have tried to apprehend the Pythagorean power by wich number holds sway above the flux.───我試圖理解畢達哥拉斯的威力，它讓數(shù)字支配潮漲。

15 、He proved the Pythagorean theorem: in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.───畢達哥拉斯證明了勾股定理，就是指在直角三角形中，兩條直角邊的平方和等于斜邊的平方。

16 、Pythagorean triple group───勾股數(shù)組

17 、I have wished to understand the hearts of men.I have tried to apprehend the Pythagorean power by which number holds sway above the flu.───我曾渴望著理解人心，我曾渴望知道為何星星會閃爍，我還企圖弄懂畢達哥拉斯所謂的用數(shù)字控制變化的力量。

18 、primitive Pythagorean number───本原商高數(shù)

19 、"In the application of the cycle of fifths, 12 fifths are equal to 7 octaves in theory, but in actuality are not. The discrepancy, which is about a quarter of a semitone and is known as the Pythagorean comma,"───在具體運用五度音程的循環(huán)時，12個五度音程從理論上講應(yīng)等于7個八度，但實際上不等于這個音差為半音的1/4，稱為畢達哥拉斯音差。

20 、I have tried to apprehend the pythagorean power by which number holds sway above the flux───我力圖領(lǐng)悟畢達哥拉斯的才能，他的才能使數(shù)字支配著不斷變動的事物。

21 、four-dimensional four-degree pythagorean number───四維四次勾股數(shù)

22 、I have wished to know why the stars shine.And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.───我渴望知道星星為什么閃閃發(fā)光，我試圖理解比達格拉斯的思想威力，即數(shù)字支配著萬物流轉(zhuǎn)。

23 、And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.A little of this, but not much, I have achieved.───我試圖領(lǐng)悟畢達哥拉斯所景仰的數(shù)字力量,它支配著此消彼漲。僅在不大的一定程度上,我達到了此目的。

24 、The Pythagorean Theorem states that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse.───“直角三角形斜邊的平方等于兩條直角邊的平方和”叫做勾股定理，也稱為畢達哥拉斯定理。

25 、the Pythagorean theorem───勾股定理

26 、On Discovery of Generated Matrix for Pythagorean Number Groups───勾股數(shù)組生成矩陣的發(fā)現(xiàn)探究

27 、This article introduces the whole course of the demonstrating device of the Pythagorean theorem with the glass plate.───介紹了用玻璃板制作勾股定理演示器的全過程。

28 、Pythagorean number───畢達哥拉數(shù)

29 、double two dimension cubic pythagorean number───雙二維三次勾股數(shù)

30 、Complex parameters of triples are introduced.Two expressions of Pythagorean triples are derived.───用復(fù)數(shù)參量導(dǎo)出勾股數(shù)的表示式，由這種表示式討論了勾股數(shù)的性質(zhì)。

31 、Also,we have proved the version of the CBS Inequality,the pythagorean theorem and parallelogram law in this case.───最后,證明了這種空間中的CBS不等式和平行四邊形公式。

32 、They also demonstrated knowledge of the Pythagorean theorem well before Pythagoras, as evidenced by this tablet translated by Dennis Ramsey and dating to c. 1900 BC.───他們在畢達哥拉斯之前，也證明了畢達哥拉斯定理。證據(jù)就在由丹尼斯拉姆齊破譯的一塊公元前1900年的石版。

33 、Furthermore by some skills of algebra, it is proved that the set of all pythagorean number matrixes is a finitely generated group, and a set of generators of the finitely generated group is given.───利用相關(guān)代數(shù)技巧，證明由所有的勾股矩陣構(gòu)成的集合T是一個關(guān)于矩陣乘法的有限生成群。同時，給出該有限生成群的一個生成元組。

34 、pythagorean table───九九表

35 、From 200 BC to 200 AD, Pythagorean triples appear in The Nine Chapters on the Mathematical Art, together with a mention of right triangles.───約前200年至公元200年之間,算數(shù)九章記載了這個定理。

36 、I have wished to understand the hearts of men.I have wished to know why the stars shine.And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.───我一直期望著能理解人們的心靈，期望著能了解星星光芒四射的奧妙，期望著能領(lǐng)會數(shù)字之力何以如此巨大，竟可支配世界萬物的生滅更迭。

37 、And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.WOW GOld A little of this, but not much, WOW POWER leveling I have achieved.───反思的過程中才能知道自己的弱點，要害，不足之處在那里，加以改正，加以完善，不斷地進步，進取，成功就會指日可待。

38 、Based on the interpretation of the cosmic constitution through harmony in numbers, Pythagorean School established cosmic aesthetics.───他們用數(shù)的和諧解釋宇宙的構(gòu)成，創(chuàng)立了宇宙美學理論。

39 、Pythagorean proposition arithmetic───勾股算術(shù)

40 、Greek philosopher and mathematician who founded in southern Italy a school that emphasized the study of musical harmony and geometry. He proved the universal validity of the Pythagorean theorem and is considered the first true mathematician───畢達哥拉斯，古希臘哲學家和數(shù)學家，在意大利南部創(chuàng)立學派，強調(diào)對音樂和諧及幾何的研究：他證明了畢達哥拉斯定理的廣泛有效，性并且被認為是世界是第一位真正的數(shù)學家

41 、Odd number and pythagorean triplet───奇數(shù)與勾股數(shù)

42 、Context: Euclid's proof of the Pythagorean Theorem made use of the previous proven theorem known as Proposition 41.───上下文：歐幾里得關(guān)于畢德哥拉斯定理的證明利用了前已證明的命題41。

43 、pythagorean field───畢達哥拉斯域

44 、Pythagorean proposition───n. 勾股定理

45 、In ancient Greece, young Pythagoras discovers a special number pattern (the Pythagorean theorem) and uses it to solve problems involving right triangles.───圖書性質(zhì):全價/非現(xiàn)貨圖書（想了解什么是非現(xiàn)貨圖書，請點擊這里）

46 、Cosine theorem and Pythagorean theorem in space───立體幾何的余弦定理和勾股定理

47 、On the Continued Pythagorean Diophantine Equation───關(guān)于連續(xù)勾股丟番圖方程

48 、space pythagorean theorem───空間勾股定理

49 、With equal passion I have sought knowledge.I have wished to understand the hearts of men.I have tried to apprehend the Pythagorean power by which number holds sway above the flu.───懷著同樣的熱情,我曾去尋求知識,我希望能理解人們的心理,我試圖去領(lǐng)會畢達哥拉斯的?動力.僅此一點,沒有太多,但我已經(jīng)得到了.

50 、Pythagorean proposition is a geometry term.───勾股定理是一個 幾何術(shù)語.

51 、There is much debate on whether the Pythagorean theorem was discovered once or many times. B.L. Van der Waerden asserts a single discovery,───有許多辯論是否畢氏定理早已不只一次被發(fā)現(xiàn)

52 、On the Pythagorean Diophantine Equation x~2+(x+k)~2=z~2───關(guān)于勾股丟番圖方程x~2+(x+k)~2=z~2

53 、Pythagorean triplet───畢達哥拉斯三元數(shù)組

54 、This paper makes studies of researched proposition on Pythagorean theorem an Projection theorem.───本文對勾股定理、射影定理的研究性論題進行了研究。

55 、three dimension cubic pythagorean number───三維三次勾股數(shù)

56 、And I HAs tried to apprehend the Pythagorean power by which bulk holds sway above the flux.───我試圖領(lǐng)悟畢達哥拉斯所景仰的數(shù)字力量,它支配著此消彼長。

57 、Pythagorean Hodograph curves───PH樣條

58 、The assignment was to make a construction that could be used in proving the Pythagorean theorem.───作業(yè)是給勾股定理做一個解釋。

59 、This text mainly talks about" positive whole numbers bases" of pythagorean triplets, proves that to any odd number, there are two continuous integers, which can make up of a pythagorean triplet with the odd number.───圍繞勾股數(shù)及勾股數(shù)組的“正整數(shù)基”,證明了對于一個任意的奇數(shù),總存在里兩個連續(xù)的整數(shù),與這個奇數(shù)構(gòu)成一個勾股數(shù)。

60 、Pythagoras and Pythagorean───畢達哥拉和畢達哥拉學派

61 、It is a catch-all term covering Pythagorean geometry and neo-Platonic geometry, as well as the perceived relationships`between organic curves and logarithmic curves.───它是包羅萬象的術(shù)語，涵蓋了畢達哥拉斯幾何學和新柏拉圖哲學的幾何學,也可在組織曲線和對數(shù)曲線間找尋蛛絲馬跡。

62 、Pythagorean theorem───n. 畢氏定理, 勾股定理

63 、Pythagorean Hodograph curve and Its Application───曲線及其應(yīng)用

64 、And I have tried to apprehend the Pythagorean power by which number holds sway over the flux.───我試圖領(lǐng)悟畢達哥拉斯所景仰的數(shù)字力量，它支配著此消彼漲。

65 、In this paper, we generalized the Pythagorean Theorem and C-osine law from the new point and we have got a few the simple proper uses of the result that we have made.───本文給出了兩個定理:從一個新的角度**了勾股定理與余弦定理:另外我們還給出了這兩個定理的若干簡單應(yīng)用。

66 、Pythagorean extension───畢達哥拉斯擴張

67 、And I have tried to apprehend the Pythagorean power by which number holds away above the flux.───我曾試圖理解畢達哥拉斯的力量，這種力量使數(shù)字凌駕于萬物之上。

68 、Context: The Pythagorean Theorem was proved using deductive reasoning.───上下文：畢德哥拉斯定理被人們運用演繹推理加以了證明。

69 、And I have tried to apprehendthe Pythagorean power by which number holds sway above the flux.Alittle of this, but not much, I have achieved.───我試圖領(lǐng)悟畢達哥拉斯所景仰的數(shù)字的永恒力量,它統(tǒng)掌乾坤.在這方面我略有成就，但還不夠.

70 、Pythagorean tuning (09) A system of pitches based on perfect fifths and fourths.───畢氏調律(09)根據完全五度和完全四度的關係而定的音高系統。

71 、The method of deducing Pythagorean Triples (irreducible and reducible) is explained.───并說明了互素勾股數(shù)組的導(dǎo)出方法。

72 、According to Pythagorean teaching, the soul survives bodily death, being immortal and merely confined to the body.───按照畢達哥拉斯的說法，人死后靈魂還在，靈魂是不朽的，只是它不得不寓于形體。

73 、And I have tried to apprehend the Pythagorean power by which number holds sway above the flux───而且我還試圖掌握畢達格拍斯的魔力，讓數(shù)字支配變動。

74 、Understand Euclid's proof of the Pythagorean Theorem.───理解歐幾里得對畢德哥拉斯定理的證明。

75 、Researched Proposition on Pythagorean Theorem and Projection Theorem───有關(guān)勾股定理、射影定理的研究性論題

76 、A Short Proof for the Existence of the Indivisible Continuums of Pythagorean, Democritus, Plato and Galileo───關(guān)于Pythagoras,Democritus,Plato和Galileo等的不可分割的連續(xù)統(tǒng)的存在性的短的證明

77 、I have wished to know why the stars shine.And I have tried to apprehend the Pythagorean power by which number holds away above the flux.───我渴望知道星星為什么閃閃發(fā)光，我試圖理解畢達哥拉斯的思想威力，即數(shù)字支配著萬物流轉(zhuǎn)。

78 、Experts in the history of philosophy usually think Pythagorean School regard number as a principle of everything, which is certainly correct.───哲學史家通常認為,畢達哥拉斯學派以數(shù)為萬物的本原。

79 、Mathematicians in the pre-Qin days over 2,200 years ago put forward the proposition known as the Pythagorean theorem in the west today.───先秦的數(shù)學家提出了勾股定理。

80 、I have wished to understand the hearts of men, I have wished to know why the stars shine.And I have tried to apprehend the Pythagorean power by which number holds away above the flux.───我渴望理解人類的心靈，渴望得知群星閃耀的真理，我也曾努力試著去掌握畢達哥拉斯學派的理論，那些關(guān)于數(shù)字統(tǒng)治萬物此消彼長的規(guī)律。

pythagorean relation

是啊 就是勾股定理 a方+b方＝c方 c為斜邊 a和b為直角邊

還有其他數(shù)學問題都可以問我 **：591758623

pythagorean relation

畢達哥拉斯關(guān)系

畢達哥拉斯學派

畢達哥拉斯學派盛行于公元前六世紀，他們都是些數(shù)學家，天文學家和物理學家，當時希臘哲學的主要對象還是自然現(xiàn)象，畢達哥拉斯學派以及稍后的赫拉克利特都主要是從自然科學觀點去看美學問題的。在自然科學中當時哲學家們有一個普遍的企圖，就是在自然界雜多現(xiàn)象之中，找出統(tǒng)攝一切的原則或原素。畢達哥拉斯學派大半都是數(shù)學家，便認為萬物最基本的原素是數(shù)，數(shù)的原則統(tǒng)治著宇宙中一切現(xiàn)象。這樣把事物的一種屬性（數(shù)）加以絕對化，仿佛把它看成一種先于一切而獨立存在的東西，這就是客觀唯心主義的萌芽。這個基本觀點也影響到畢達哥拉斯學派對于美的看法。

他們認為美就是和諧。他們首先從數(shù)學和聲學的觀點去研究音樂節(jié)奏的和諧，發(fā)見聲音的質(zhì)的差別（如長短，高低，輕重等）都是由發(fā)音體方面數(shù)量的差別所決定的。例如發(fā)音體（如琴弦）長，聲音就長，震動速度快，聲音就高，震動速度慢，聲音就低。因此，音樂的基本原則在數(shù)量的關(guān)系，音樂節(jié)奏的和諧是由高低長短輕重各種不同的音調(diào)，按照一定數(shù)量上的比例所組成的。這派學者是用數(shù)的比例來表示不同音程的創(chuàng)始人，例如第八音程是1:2，第四音程是3:4，第五音程是2:3。

從音樂里數(shù)量關(guān)系的研究中，畢達哥拉斯學派找到了一個辯證的原則，這個原則由這派門徒波里克勒特在他的《論法規(guī)》里這樣加以轉(zhuǎn)述：

畢達哥拉斯學派說（柏拉圖往往采用這派的話），音樂是對立因素的和諧的統(tǒng)一，把雜多導(dǎo)致統(tǒng)一，把不協(xié)調(diào)導(dǎo)致協(xié)調(diào)。

這是希臘辯證思想的最早的萌芽，也是文藝思想中“寓整齊于變化”原則的最早的萌芽。

畢達哥拉斯學派把音樂中和諧的道理**到建筑，雕刻等其它藝術(shù)，探求什么樣的數(shù)量比例才會產(chǎn)生美的效果，得出了一些經(jīng)驗性的規(guī)范。波里克勒特在前已提到的《論法規(guī)》里就記載了一些這樣的規(guī)范。例如在歐洲有長久影響的“黃金分割”（最美的線形為長與寬成一定比例的長方形）就是這派發(fā)見的。他們也有時認為圓球形最美。這種偏重形式的探討是后來美學里形式主義的萌芽。

這派學者還把數(shù)與和諧的原則應(yīng)用于天文學的研究，因而形成所謂“諸天音樂”或“宇宙和諧”的概念，認為天上諸星體在遵照一定軌道運動之中，也產(chǎn)生一種和諧的音樂。蘇聯(lián)美學史家阿斯木斯在《古代思想家論藝術(shù)》的序論里評論這種概念說，“音樂和諧的概念原只是對一種藝術(shù)領(lǐng)域研究的結(jié)果，畢達哥拉斯學派把它**到全體宇宙中去……因此，連天文學即宇宙學在這派看來，也具有美學的性質(zhì)”。他們把天體看成圓球形，認為這也是最美的形體。這里可注意的是畢達哥拉斯學派把整個自然界看作美學的對象，并不限于藝術(shù)。

畢達哥拉斯學派還注意到藝術(shù)對人的影響。他們提出兩個帶有“神秘色彩的看法，一個是“小宇宙”（人）類似“大宇宙”的看法（近似中國道家“小周天”的看法）。他們認為人體就像天體，都由數(shù)與和諧的原則統(tǒng)轄著。人有內(nèi)在的和諧，碰到外在的和諧，“同聲相應(yīng)”，所以欣然契合。因此，人才能愛美和欣賞藝術(shù)。另一個看法是人體的內(nèi)在和諧可以受到外在的和諧的影響。他們把這個概念應(yīng)用到醫(yī)學上去，得出類似中國醫(yī)學里陰陽五行說的結(jié)論。不但在身體方面，就是在心理方面，內(nèi)在和諧也可以受到外在和諧的影響。他們把音樂風格大體分為剛?cè)醿煞N，不同的音樂風格可以在聽眾中引起相應(yīng)的心情而引起性格的變化，例如聽者性格偏柔，剛的樂調(diào)可以使他的心情由柔變剛。藝術(shù)可以改變?nèi)说男郧楹托愿瘢援a(chǎn)生教育的作用。

畢達哥拉斯學派的帶有神秘主義色彩的客觀唯心主義的和形式主義的美學思想對柏拉圖，普洛丁的新柏拉圖主義以及文藝復(fù)興時代專心鉆研形式技巧的藝術(shù)家們，都發(fā)生過深刻的影響。

參考資料：

朱光潛著《西方美學史》