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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Thales' theorem ： ウィキペディア英語版 Thales' theorem In geometry, Thales' theorem states that if A, B and C are points on a circle where the line is a diameter of the circle, then the angle ∠ABC is a right angle. Thales' theorem is a special case of the inscribed angle theorem, and is mentioned and proved as part of the 31st proposition, in the third book of Euclid's Elements. It is generally attributed to Thales of Miletus, who is said to have offered an ox (probably to the god Apollo) as a sacrifice of thanksgiving for the discovery, but sometimes it is attributed to Pythagoras. ==History== There is nothing extant of the writing of Thales; work done in ancient Greece tended to be attributed to men of wisdom without respect to all the individuals involved in any particular intellectual constructions — this is true of Pythagoras especially. Attribution did tend to occur at a later time.〔G.Donald Allen - Texas A&M University (Department of Mathematics ) (edu ) Retrieved 2012-02-12〕 Reference to Thales was made by Proclus, and by Diogenes Laertius documenting Pamphila's statement that Thales〔Prof.T.Patronis & D.Patsopoulos 〕 Indian and Babylonian mathematicians knew this for special cases before Thales proved it.〔de Laet, Siegfried J. (1996). ''History of Humanity: Scientific and Cultural Development''. UNESCO, Volume 3, p. 14. ISBN 92-3-102812-X〕 It is believed that Thales learned that an angle inscribed in a semicircle is a right angle during his travels to Babylon.〔Boyer, Carl B. and Merzbach, Uta c. (2010). ''A History of Mathematics''. John Wiley and Sons, Chapter IV. ISBN 0-470-63056-6〕 The theorem is named after Thales because he was said by ancient sources to have been the first to prove the theorem, using his own results that the base angles of an isosceles triangle are equal, and that the sum of angles in a triangle is equal to 180°. Dante's Paradiso (canto 13, lines 101–102) refers to Thales' theorem in the course of a speech. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Thales' theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.