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:
“The beasts, the fishes, and the winged fowls
Are their males’ subjects and at their controls:
Man, more divine, the master of all these,
Lord of the wide world and wild watery seas,
Indued with intellectual sense and souls,
Of more pre-eminence than fish and fowls,
Are masters to their females, and their lords:
Then let your will attend on their accords.”
—William Shakespeare (1564–1616)
“I have been photographing our toilet, that glossy enameled receptacle of extraordinary beauty.... Here was every sensuous curve of the “human figure divine” but minus the imperfections. Never did the Greeks reach a more significant consummation to their culture, and it somehow reminded me, in the glory of its chaste convulsions and in its swelling, sweeping, forward movement of finely progressing contours, of the Victory of Samothrace.”
—Edward Weston (1886–1958)