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:
“Remember the waterfront shack with the sign FRESH FISH SOLD HERE. Of course it’s fresh, we’re on the ocean. Of course it’s for sale, we’re not giving it away. Of course it’s here, otherwise the sign would be someplace else. The final sign: FISH.”
—Peggy Noonan (b. 1950)
“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)