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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 Whitney umbrella ： ウィキペディア英語版 Whitney umbrella In mathematics, the Whitney umbrella (or Whitney's umbrella and sometimes called a Cayley umbrella) is a self-intersecting surface placed in three dimensions. It is the union of all straight lines that pass through points of a fixed parabola and are perpendicular to a fixed straight line, parallel to the axis of the parabola and lying on its perpendicular bisecting plane. ==Formulas== Whitney's umbrella can be given by the parametric equations in Cartesian coordinates $$ x(u,v) = uv ; $$ y(u,v) = u ; $$ z(u,v) = v^2 where the parameters ''u'' and ''v'' range over the real numbers. It is also given by the implicit equation : $x^2=y^2z$ This formula also includes the negative ''z'' axis (which is called the ''handle'' of the umbrella). 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「Whitney umbrella」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.