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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 Hippopede ： ウィキペディア英語版 Hippopede In geometry, a hippopede (from Ancient Greek ἱπποπέδη, "horse fetter") is a plane curve determined by an equation of the form :$(x^2+y^2)^2=cx^2+dy^2$, where it is assumed that ''c''>0 and ''c''>''d'' since the remaining cases either reduce to a single point or can be put into the given form with a rotation. Hippopedes are bicircular rational algebraic curves of degree 4 and symmetric with respect to both the ''x'' and ''y'' axes. ==Special cases== When ''d''>0 the curve has an oval form and is often known as an oval of Booth, and when ''d''<0 the curve resembles a sideways figure eight, or lemniscate, and is often known as a lemniscate of Booth, after 19th-century mathematician James Booth who studied them. Hippopedes were also investigated by Proclus (for whom they are sometimes called Hippopedes of Proclus) and Eudoxus. For ''d'' = −''c'', the hippopede corresponds to the lemniscate of Bernoulli. 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「Hippopede」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.