catenary

noun, plural cat·e·nar·ies.

1. Mathematics. the curve assumed approximately by a heavy uniform cord or chain hanging freely from two points not in the same vertical line. Equation: y = kcosh(x/k).
2. (in electric railroads) the cable, running above the track, from which the trolley wire is suspended.

adjective

3. of, relating to, or resembling a catenary.
4. of or relating to a chain or linked series.

noun plural -ries

1. the curve assumed by a heavy uniform flexible cord hanging freely from two points. When symmetrical about the y- axis and intersecting it at y = a, the equation is y = a cosh x / a
2. the hanging cable between pylons along a railway track, from which the trolley wire is suspended

adjective Also: catenarian (ˌkætɪˈnɛərɪən)

3. of, resembling, relating to, or constructed using a catenary or suspended chain

adj.

1872, from Latin catenarius “relating to a chain,” from catenanus “chained, fettered,” from catena “chain, fetter, shackle” (see chain (n.)). As a noun from 1788 in mathematics. Related: Catenarian.