FTP name this curve which Huygens named from the Latin because it is the shape formed by a chain hanging under its own weight.
A specific form of the alysoid where a = 1, its evolute is the tractrix, and it is the catacaustic of the exponential curve. Bernoulli called it the vilaire because it is the shape of a sail suspended between two vertical bars when the wind blows normal to the bars. FTP name this curve which Huygens named from the Latin because it is the shape formed by a chain hanging under its own weight.
A specific form of the alysoid where a = 1, its evolute is the tractrix, and it is the catacaustic of the exponential curve.
{catenary}