翻訳と辞書 Words near each other ・ Hyperbolic law of cosines ・ Hyperbolic link ・ Hyperbolic manifold ・ Hyperbolic motion ・ Hyperbolic motion (relativity) ・ Hyperbolic navigation ・ Hyperbolic orthogonality ・ Hyperbolic partial differential equation ・ Hyperbolic plane (disambiguation) ・ Hyperbolic point ・ Hyperbolic quaternion ・ Hyperbolic secant distribution ・ Hyperbolic sector ・ Hyperbolic set ・ Hyperbolic space ・ Hyperbolic spiral ・ Hyperbolic structure ・ Hyperbolic tetrahedral-octahedral honeycomb ・ Hyperbolic trajectory ・ Hyperbolic tree ・ Hyperbolic triangle ・ Hyperbolic trigonometry ・ Hyperbolic volume ・ Hyperbolization theorem ・ Hyperboloid ・ Hyperboloid model ・ Hyperboloid structure ・ Hyperbolus ・ Hyperborea ・ Hyperborea (album) 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 Hyperbolic spiral ： ウィキペディア英語版 Hyperbolic spiral A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral.〔.〕 A hyperbolic spiral is the opposite of an Archimedean spiral〔.〕 and is a type of Cotes' spiral. Pierre Varignon first studied the curve in 1704.〔 Later Johann Bernoulli and Roger Cotes worked on the curve as well. ==Equation== The hyperbolic spiral has the polar equation: : $r=\backslash frac$ It begins at an infinite distance from the pole in the center (for θ starting from zero r = a/θ starts from infinity), and it winds faster and faster around as it approaches the pole; the distance from any point to the pole, following the curve, is infinite. Applying the transformation from the polar coordinate system: :$x\; =\; r\; \backslash cos\; \backslash theta,\; \backslash qquad\; y\; =\; r\; \backslash sin\; \backslash theta,$ leads to the following parametric representation in Cartesian coordinates: :$x\; =\; a\; ,\; \backslash qquad\; y\; =\; a\; ,$ where the parameter ''t'' is an equivalent of the polar coordinate θ. 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「Hyperbolic spiral」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.