# 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.]

## 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
(Civil Engineering) of, resembling, relating to, or constructed using a catenary or suspended chain
[C18: from Latin catēnārius relating to a chain]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## cat•e•nar•y

(ˈkæt nˌɛr i; esp. Brit. kəˈti nə ri)

n., pl. -nar•ies,
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.
3. of, pertaining to, or resembling a catenary.
[1780–90; < Latin catēnārius relating to a chain =catēn(a) a chain + -ārius -ary]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 catenary - the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed pointscurve, curved shape - the trace of a point whose direction of motion changes
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
ketjukäyrä
קו שרשרת
kedjekurva

## catenary

[kəˈtiːnərɪ] n (Phys) → catenaria
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
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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.
x y x y -3 0.2 -2.8 0.4 -2.6 0.6 -2.4 0.8 -2.2 1.0 -2.0 1.2 -1.8 1.4 -1.6 1.6 -1.4 1.8 -1.2 2.0 -1.0 2.2 -0.8 2.4 -0.6 2.6 -0.4 2.8 -0.2 3.0 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 -3.0 -2.8 -2.6 -2.4 -2.2 -2.0 -1.8 -1.6 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 References

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