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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 Conoid ： ウィキペディア英語版 Conoid In geometry a conoid (Greek: κωνος cone and -ειδης similar) is a ruled surface, whose rulings (lines) fulfill the additional conditions :(1) All rulings are parallel to a plane, the ''directrix plane''. :(2) All rulings intersect a fixed line, the ''axis''. *The conoid is a right conoid, if its axis is perpendicular to its directrix plane. Hence all rulings are perpendicular to the axis. Because of (1) any conoid is a Catalan surface and can be represented parametrically by *$\backslash mathbf\; x(u,v)=\; \backslash mathbf\; c(u)\; +\; v\backslash mathbf\; r(u)\backslash \; ,$ Any curve $\backslash mathbf\; x(u\_0,v)$ with fixed parameter $u=u\_0$ is a ruling, $\backslash mathbf\; c(u)$ describes the ''directrix'' and the vectors $\backslash mathbf\; r(u)$ are all parallel to the directrix plane. The planarity of the vectors $\backslash mathbf\; r(u)$ can be represented by :$\backslash det(\backslash mathbf\; r,\backslash mathbf\; \backslash dot\; r,\backslash mathbf\; \backslash ddot\; r)=0$. *If the directrix is a circle the conoid is called circular conoid. The term ''conoid'' was already used by Archimedes in his treatise ''On conoids and spheroides''. == Examples == 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「Conoid」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.