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:
“Until they saw, over the mists
of Venus, two fish creatures stop
on spangled legs and crawl
from the belly of the sea.
And from the planet park
they heard the new fruit drop.”
—Anne Sexton (1928–1974)
“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)