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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: : 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: : leads to the following parametric representation in Cartesian coordinates: : 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
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