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of a weighted catenary (or other curve) describes a rectangular frame containing the selected fragment of the curve theoretically continuing to the infinity.
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308:{\displaystyle y=b\,\cosh \left({\frac {x}{a}}\right)={\frac {b\left(e^{\frac {x}{a}}+e^{-{\frac {x}{a}}}\right)}{2}}}
180:{\displaystyle y=a\,\cosh \left({\frac {x}{a}}\right)={\frac {a\left(e^{\frac {x}{a}}+e^{-{\frac {x}{a}}}\right)}{2}}}
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classical mechanics - Catenary curve under non-uniform gravitational field - MathOverflow
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A weighted catenary is a catenary curve, of a special form, with two constants
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curve, but of a special form. A "regular" catenary has the equation
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it becomes more complex. A weighted catenary is needed.
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528:What is aspect ratio? - Definition from WhatIs.com
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485:"Mathematics of the Gateway Arch"
483:Robert Osserman (February 2010).
419:"Mathematics of the Gateway Arch"
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589:Mathematics of the Gateway Arch
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566:External links and references
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526:Definition from WhatIs.com:
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42:— and is not weighted.
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464:. Antonio Gaudi Foundation
62:and thus sometimes called
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462:fundacionantoniogaudi.org
401:use weighted catenaries.
399:Simple suspension bridges
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554:13 April
393:Missouri
379:Examples
318:and now
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605:Commons
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50:(also
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383:The
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