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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 epitrochoid ： ウィキペディア英語版 epitrochoid An epitrochoid ( or ) is a roulette traced by a point attached to a circle of radius ''r'' rolling around the outside of a fixed circle of radius ''R'', where the point is a distance ''d'' from the center of the exterior circle. The parametric equations for an epitrochoid are :$x\; (\backslash theta)\; =\; (R\; +\; r)\backslash cos\backslash theta\; -\; d\backslash cos\backslash left(\backslash theta\backslash right),\backslash ,$ :$y\; (\backslash theta)\; =\; (R\; +\; r)\backslash sin\backslash theta\; -\; d\backslash sin\backslash left(\backslash theta\backslash right).\backslash ,$ where $\backslash theta$ is a parameter (not the polar angle). Special cases include the limaçon with ''R = r'' and the epicycloid with ''d = r''. The classic Spirograph toy traces out epitrochoid and hypotrochoid curves. The orbits of planets in the once popular geocentric Ptolemaic system are epitrochoids. The combustion chamber of the Wankel engine is an epitrochoid. ==See also== * Cycloid * Epicycloid * Hypocycloid * Hypotrochoid * Spirograph * List of periodic functions 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「epitrochoid」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.