翻訳と辞書 Words near each other ・ Viviane Jacques ・ Viviane Käser ・ Viviane Morales Hoyos ・ Viviane Namaste ・ Viviane Ndour ・ Viviane Patricia Bella ・ Viviane Reding ・ Viviane Romance ・ Viviane Sassen ・ Viviane Senna ・ Viviane Ventura ・ Viviane Victorette ・ Viviane Wade ・ Viviani ・ Viviani (crater) ・ Viviani's curve ・ Viviani's theorem ・ Vivianiaceae ・ Vivianite ・ Viviann Gerdin ・ Vivianna Torun Bülow-Hübe ・ Vivianne Blanlot ・ Vivianne Collins ・ Vivianne Crowley ・ Vivianne Fock Tave ・ Vivianne Miedema ・ Vivianne Pasmanter ・ Viviano ・ Viviano Codazzi ・ Viviano Guida 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 Viviani's curve ： ウィキペディア英語版 Viviani's curve In mathematics, particularly geometry, Viviani's curve, also known as Viviani's window, is a figure eight shaped space curve named after the Italian mathematician Vincenzo Viviani, the intersection of a sphere with a cylinder that is tangent to the sphere and passes through the center of the sphere. The projection of Viviani's curve onto a plane perpendicular to the line through the crossing point and the sphere center is the lemniscate of Gerono.〔.〕 == Formula == The curve can be obtained by intersecting a sphere of radius $2a$ centered at the origin, :$x^2+y^2+z^2=4a^2\; \backslash ,$ with the cylinder centered at $(a,0,0)$ of radius $a$ given by :$(x-a)^2+y^2=a^2.\; \backslash ,$ The resulting curve of intersection, $V$, can be parameterized by $t$ to give the parametric equation of Viviani's curve: :$V(t)=\; \backslash left\backslash langle\; a(\; 1+\backslash cos(t)\; ),\; a\backslash sin(t),\; 2a\backslash sin\backslash left(\backslash frac\backslash right)\; \backslash right\backslash rangle.$ This is a clelie with $m=1$, where $\backslash theta=\backslash frac$. 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「Viviani's curve」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.