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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 hypotrochoid ： ウィキペディア英語版 hypotrochoid A hypotrochoid is a roulette traced by a point attached to a circle of radius ''r'' rolling around the inside of a fixed circle of radius ''R'', where the point is a distance ''d'' from the center of the interior circle. The parametric equations for a hypotrochoid are: :$x\; (\backslash theta)\; =\; (R\; -\; r)\backslash cos\backslash theta\; +\; d\backslash cos\backslash left(\backslash theta\backslash right)$ :$y\; (\backslash theta)\; =\; (R\; -\; r)\backslash sin\backslash theta\; -\; d\backslash sin\backslash left(\backslash theta\backslash right).$ Where $\backslash theta$ is the angle formed by the horizontal and the center of the rolling circle (note that these are not polar equations because $\backslash theta$ is not the polar angle). Special cases include the hypocycloid with ''d'' = ''r'' and the ellipse with ''R'' = 2''r''. The classic Spirograph toy traces out hypotrochoid and epitrochoid curves. ==See also== * List of periodic functions * Epitrochoid * Cycloid * Hypocycloid * Epicycloid * Spirograph 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「hypotrochoid」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.