Catenary - hanging rope between two points

Computes the catenary shape (hanging rope) of a given length between two given points.

Given two points in the vertical plane and a given length of rope, the supplied function computes the trajectory of the catenary between those points. Run plot_catenary.m for an interactive demo.

See
http://en.wikipedia.org/wiki/Catenary
for a full description of the catenary curve.