catenary

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catenary
The equation for this catenary with a as the y-intercept is y = a/2 (ex/a + e-x/a).

cat·e·nar·y

 (kăt′n-ĕr′ē, kə-tē′nə-rē)
n. pl. cat·e·nar·ies
1. The curve formed by a perfectly flexible, uniformly dense, and inextensible cable suspended from its endpoints. It is identical to the graph of a hyperbolic cosine.
2. Something having the general shape of this curve.

[New Latin catēnāria, from Latin, feminine of catēnārius, relating to a chain, from catēna, chain.]

cat′e·nar′y adj.

catenary

(kəˈtiːnərɪ)
n, pl -ries
1. (Mathematics) 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. (Railways) the hanging cable between pylons along a railway track, from which the trolley wire is suspended
adj
(Civil Engineering) of, resembling, relating to, or constructed using a catenary or suspended chain
[C18: from Latin catēnārius relating to a chain]

cat•e•nar•y

(ˈkæt nˌɛr i; esp. Brit. kəˈti nə ri)

n., pl. -nar•ies,
adj. n.
1. the curve assumed approximately by a heavy uniform cord or chain hanging freely from two points not in the same vertical line. Equation: y = k cosh (x/k).
2. (in electric railroads) the cable, running above the track, from which the trolley wire is suspended.
adj.
3. of, pertaining to, or resembling a catenary.
[1780–90; < Latin catēnārius relating to a chain =catēn(a) a chain + -ārius -ary]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.catenary - the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed pointscatenary - the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed points
curve, curved shape - the trace of a point whose direction of motion changes
Translations
ketjukäyrä
קו שרשרת
kedjekurva

catenary

[kəˈtiːnərɪ] n (Phys) → catenaria
References in periodicals archive ?
The graphs of the model and the true chain curve are now virtually indistinguishable, but using Autograph, we can zoom in on a section of the curve (Figure 5) to realise that there is still a very small difference which is so close that it is difficult to tell which is which.
0 0 Appendix 2: Student template for determining residuals From table 1 Chain Curve Model Residuals x values Table 1 y values Quartic y values Table y - Quartic y -3.