sb. and a. [ad. L. catēnāri-us relating to a chain, f. catēna chain.]
A. sb. Math. [mod.L. catenaria.] The curve formed by a chain or rope of uniform density hanging freely from two fixed points not in the same vertical line. The common catenary is the curve so formed by a chain of uniform thickness.
1788. T. Jefferson, Writ. (1859), II. 546. Every part of a catenary is in perfect equilibrium.
1798. Hutton, Course Math. (1828), II. 175. A heavy flexible cord or chain, left to adjust itself into a hanging catenary.
1856. Ruskin, Mod. Paint., IV. V. xvii. § 12. One of the most beautifully gradated natural curvescalled the catenary.
B. adj.
1. Math. Catenary curve = CATENARY; see A.
1872. Ruskin, Eagles N., § 139. The parabolas of waterfalls and fountains the catenary curves of their falling festoons.
1887. T. Hardy, Woodlanders, I. i. 6. A hook to which the reins were hitched at times, forming a catenary curve from the horses shoulders.
2. Relating to a catena or series.
1855. I. Taylor, Restor. Belief, 221. By processes of catenary deduction.