翻訳と辞書 Words near each other ・ Conchobar mac Taidg Mór ・ Conchobar Maenmaige Ua Cellaigh ・ Conchobar Maenmaige Ua Conchobair ・ Conchobar Ua Briain ・ Conchobar Ua Conchobair ・ Conchobar ua nDiarmata ・ Conchobar Ó Cellaigh ・ Conchobar Ó Muirdaig ・ Conchobhar Ua Flaithbheartaigh ・ Conchobhar Ó Coineóil ・ Conchocometa ・ Conchoderma ・ Conchodus ・ Conchoid ・ Conchoid (mathematics) ・ Conchoid of de Sluze ・ Conchoid of Dürer ・ Conchoidal fracture ・ Concholepas ・ Concholepas concholepas ・ Conchological Society of Great Britain & Ireland ・ Conchology ・ Conchomyces ・ Conchopoma ・ Conchoraptor ・ Conchos darter ・ Conchos shiner ・ Conchospiral ・ Conchou ・ Conchubhar mac Cumasgach Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Conchoid of de Sluze ： ウィキペディア英語版 Conchoid of de Sluze The conchoid(s) of de Sluze is a family of plane curves studied in 1662 by René François Walter, baron de Sluze.〔.〕 The curves are defined by the polar equation :$r=\backslash sec\backslash theta+a\backslash cos\backslash theta\; \backslash ,$. In cartesian coordinates, the curves satisfy the implicit equation :$(x-1)(x^2+y^2)=ax^2\; \backslash ,$ except that for ''a''=0 the implicit form has an acnode (0,0) not present in polar form. They are rational, circular, cubic plane curves. These expressions have an asymptote ''x''=1 (for ''a''≠0). The point most distant from the asymptote is (1+''a'',0). (0,0) is a crunode for ''a''<−1. The area between the curve and the asymptote is, for $a\; \backslash ge\; -1$, :$|a|(1+a/4)\backslash pi\; \backslash ,$ while for , the area is :$\backslash left(1-\backslash frac\; a2\backslash right)\backslash sqrt-a\backslash left(2+\backslash frac\; a2\backslash right)\backslash arcsin\backslash frac1\}$ + \left(1-\frac a2\right)\sqrt. Four of the family have names of their own: :''a''=0, line (asymptote to the rest of the family) :''a''=−1, cissoid of Diocles :''a''=−2, right strophoid :''a''=−4, trisectrix of Maclaurin ==References== 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「Conchoid of de Sluze」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.