File:Catenary-pm.svg

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DescriptionCatenary-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	2009
Source	Own work
Author	Geek3
Other versions	File:Catenary-pm.png Budapest_Keleti_teto_2.svg
SVG development InfoField	The source code of this SVG is invalid due to 3 errors. This W3C-invalid trigonometry was created with Inkscape.

Mathematical Function Plot
Description	Plot of a * cosh(x / a)
Equation1 (black)	$y=0.5*\cosh(x/0.5)$
Equation2 (blue)	$y=1*\cosh(x/1)$
Equation3 (red)	$y=2*\cosh(x/2)$
Coordinate System	Cartesian
X Range	-4.5 .. 4.5
Y Range	0 .. 6

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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	21:41, 3 September 2009		472 × 306 (14 KB)	Geek3	{{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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- Catenària
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- Kurs:Mathematik für Anwender (Osnabrück 2011-2012)/Teil I/Vorlesung 18
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- Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Vorlesung 13
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- Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Repetitorium/Vorlesung 13
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- Kurs:Mathematik für Anwender (Osnabrück 2023-2024)/Teil I/Vorlesung 13
- Kurs:Mathematik für Anwender (Osnabrück 2023-2024)/Teil I/Vorlesung 13/kontrolle
Usage on en.wikiversity.org
- Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 13
- Hyperbolic functions/R/Introduction/Section
- Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lecture 13/refcontrol
Usage on en.wiktionary.org
- catenary
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- Catenaria
- Anexo:Curvas
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- Katenaria
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- catenària
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- Krzywa łańcuchowa
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- katenaria
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- Catenária
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- Catenary
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Short title

Catenary.svg - three catenary lines

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

File:Catenary-pm.svg

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copyright license

GNU Free Documentation License, version 1.2 or later

Creative Commons Attribution-ShareAlike 3.0 Unported

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inception

2009

media type

image/svg+xml

checksum

eefaa6ca4b941564e72ff070f9fdb8011fcb8f09

data size

14,723 byte

height

306 pixel

width

472 pixel

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