歐幾里得公理 的英文怎麼說
中文拼音 [ōujīlǐdegōnglǐ]
歐幾里得公理
英文
euclidean axiom- 歐 : 名詞1. (姓氏) a surname 2. (歐洲的簡稱) short for europe
- 幾 : 幾代詞1. (多少, 用於詢問數量和時間) how many 2. (表示不定的少數目) a few; several; some
- 里 : 里Ⅰ名詞1 (襯料; 紡織品的反面) lining; liner; inside 2 (里邊; 里邊的) inner 3 (街坊) neighbo...
- 公 : Ⅰ形容詞1 (屬于國家或集體的) state owned; collective; public 2 (共同的;大家承認的) common; gen...
- 理 : Ⅰ名詞1 (物質組織的條紋) texture; grain (in wood skin etc ) 2 (道理;事理) reason; logic; tru...
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As we all known, with the founding of euclidean geometry in ancient greece, with the development of analytic geometry and other kinds of geometries, with f. kline " s erlanger program in 1872 and the new developments of geometry in 20th century such as topology and so on, man has developed their understand of geometry. on the other hand, euclid formed geometry as a deductive system by using axiomatic theory for the first time. the content and method of geometry have dramatically changed, but the geometry curriculum has not changed correspondingly until the first strike from kline and perry " s appealing
縱觀幾何學發展的歷史,可以稱得上波瀾壯闊:一方面,從古希臘時代的歐氏綜合幾何,到近代解析幾何等多種幾何的發展,以及用變換的方法處理幾何的埃爾朗根綱領,到20世紀拓撲學、高維空間理論等幾何學的新發展,這一切都在不斷豐富人們對幾何學的認識;另一方面,從歐幾里得第一次使用公理化方法把幾何學組織成一個邏輯演繹體系,到羅巴切夫斯基非歐幾何的發現,以及希爾伯特形式公理體系的建立,極大地發展了公理化思想方法,不管是幾何學的內容還是方法都發生了質的飛躍。In three dimensions, the basis of spatial objects is euclidean geometry, it obeys euclidean axioms. this leads directly to the question how geometric constructions, as defined by the euclidean axioms, can be represented with the finite approximations available in computer systems
在三維空間中,空間對象的定義基礎是歐幾里得幾何,服從歐幾里得公理,但利用計算機系統處理嚴格服從歐幾里得公理的空間對象必定會帶來一些問題。
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