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:
“Wallowing in this bloody sty,
I cast for fish that pleased my eye”
—Robert Lowell (1917–1977)
“In philosophical inquiry, the human spirit, imitating the movement of the stars, must follow a curve which brings it back to its point of departure. To conclude is to close a circle.”
—Charles Baudelaire (1821–1867)