File:Catenary-pm.svg

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editDescriptionCatenary-pm.svg |
English: three catenary curves The catenary is the theoretical shape a hanging chain or cable will assume when supported at its ends and acted on only by its own weight. |
Date | |
Source | Own work |
Author | Geek3 |
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Description | Plot of a * cosh(x / a) |
Equation1 (black) | |
Equation2 (blue) | |
Equation3 (red) | |
Coordinate System | Cartesian |
X Range | -4.5 .. 4.5 |
Y Range | 0 .. 6 |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 21:41, 3 September 2009 | ![]() | 472 × 306 (14 KB) | Geek3 (talk | contribs) | {{Information |Description={{en|1=three catenary curves}} |Source=Own work by uploader |Author=Geek3 |Date=2009 |Permission= |other_versions=Catenary-pm.png }} Category:Catenary |
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Short title | Catenary.svg - three catenary lines |
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Image title |
Catenary curves The catenary is the theoretical shape a hanging chain or cable will assume when supported at its ends and acted on only by its own weight. y = a * cosh(x / a) = a * (exp(x / a) + exp(-x / a)) / 2 a = {0.5, 1, 2} y = {0.5 * cosh(x / 0.5), 1 * cosh(x / 1), 2 * cosh(x / 2)} from Wikimedia Commons plotted with cubic bezier-curves the bezier-controll-points are calculated to give a very accurate result. acuracy is 0.000001 symbols in "Computer Modern" (TeX) font embedded created with a plain text editor using GNU/Linux about: http://commons.wikimedia.org/wiki/Image:Catenary-pm.svg source: http://commons.wikimedia.org/ rights: GNU Free Documentation license, Creative Commons Attribution ShareAlike license |