File:Comparison catenary parabola.svg
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Summary
| Description |
English: Comparison of a catenary (black dotted curve) and a parabola (red solid curve) with the same span and sag. The catenary represents the profile of a simple suspension bridge, or the cable of a suspended-deck suspension bridge on which its deck and hangers have negligible mass compared to its cable. The parabola represents the profile of the cable of a suspended-deck suspension bridge on which its cable and hangers have negligible mass compared to its deck. The profile of the cable of a real suspension bridge with the same span and sag will lie between the two curves. The catenary and parabola equations, plotted between x=-1 and x=1, are and , respectively. |
| Source | Own work |
| Author | Cmglee |
![{\displaystyle y=x^{2}[({\text{cosh }}1)-1]+1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ad50cad095170c986635e7c1d1100bf1e3cd8385)
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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 | 20:52, 19 January 2012 | | 512 × 144 (14 KB) | Cmglee | {{Information |Description ={{en|1=Comparison of a catenary (black dotted curve) and a parabola (red solid curve) with the same span and sag. The catenary represents the profile of a simple suspension bridge, or the cable of a suspended-deck suspension |
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