The Whewell equation for the catenary is. From this the Cesàro equation can be derived by differentiation:. Derivation. Let be the external force per unit length acting on a small ...

Catenary. Cartesian equation: y = a cosh(x / a) Click below to see one of the Associated curves.

Catenary Curve Equation." http://www.nps.gov/jeff/equation.htm. Pappas, T. "The Catenary & the Parabolic Curves." The Joy of Mathematics. San Carlos, CA:

catenary equation... ... noun . 1. Mathematics. the curve assumed approximately by a heavy uniform cord or ...

... by a uniform, flexible chain hanging under the influence of gravity is called the catenary. ... Since V = Hy', dV = Hy" dx, and we obtain a differential equation that is first order in y

The catenary equation is where a is determined by the linear density and tension of the chain. This is a transcendental curve rather than an algebraic curve like the parabola.

catenary equations ... noun . 1. Mathematics. the curve assumed approximately by a heavy uniform cord or ...

Calculates displacement cable sag based on the equation of a catenary curve. ... Deriving the Catenary Curve Equation. A catenary curve describes the shape the displacement cable ...

Solving this equation (defining y as a function of x, so that it satisfies this equation and the condition y(0) = 0) gives the Catenary equation in rectangular coordinates.

catenary. the equation for this catenary in rectangular coordinates, with a as the y-intercept is: y = ( a / 2) (e x/a + e-x/a) Thesaurus Legend: Synonyms Related Words Antonyms