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.
Read more about Fish Curve: Equations, Area, Curvature, Arc Length, and Tangential Angle, Conversion From Two Parametric Equations To A Single Equation, Usefulness
Famous quotes containing the words fish and/or curve:
“I have a very great fear of love. It is so personal. Let each bird fly with its own wings, and each fish swim its own course.—Morning brings more than love. And I want to be true to the morning.”
—D.H. (David Herbert)
“And out again I curve and flow
To join the brimming river,
For men may come and men may go,
But I go on forever.”
—Alfred Tennyson (1809–1892)