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A fish curve is an ellipse negative pedal curve that is shaped like a fish. In a fish curve, the pedal point is at the focus for the special case of the eccentricity . Fish curves can correspond to ellipses with parametric equations. In mathematics, parametric equations are a method of expressing a set of related quantities as explicit functions of a number of independent variables, known as "parameters." For example, rather than a function relating variables ''x'' and ''y'' in a Cartesian coordinate system such as , a parametric equation describes a position along the curve at time ''t'' by and . Then x and y are related to each other through their dependence on the parameter ''t''. The fish curve is a kinematical example, using a time parameter to determine the position, velocity, and other information about a body in motion. ==Equations== the corresponding fish curve has parametric equations: : For an ellipse with the parametric equations: : and the Cartesian equation is: :, which, when the origin is translated to the node, can be written as:〔〔 : 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「Fish curve」の詳細全文を読む スポンサード リンク
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