Editing Catenary (section)

==Inverted catenary arch==<!-- This section is linked from [[Park Güell]] -->

[[Catenary arches]] are often used in the construction of [[kiln]]s. To create the desired curve, the shape of a hanging chain of the desired dimensions is transferred to a form which is then used as a guide for the placement of bricks or other building material.<ref>{{cite book| last1 = Minogue| first1 = Coll| last2 = Sanderson| first2 = Robert| title = Wood-fired Ceramics: Contemporary Practices| year = 2000| publisher = University of Pennsylvania| isbn = 978-0-8122-3514-2| page = 42 }}</ref><ref>
{{cite book| last1 = Peterson| first1 = Susan| last2 = Peterson| first2 = Jan| title = The Craft and Art of Clay: A Complete Potter's Handbook| url = https://books.google.com/books?id=PAZR-A9Ra6EC&pg=PA208| year = 2003| publisher = Laurence King| isbn = 978-1-85669-354-7| page = 224 }}</ref>

The [[Gateway Arch]] in [[St. Louis, Missouri]], United States is sometimes said to be an (inverted) catenary, but this is incorrect.<ref>{{Citation | last1=Osserman | first1=Robert | title=Mathematics of the Gateway Arch | url=https://www.ams.org/notices/201002/index.html | year=2010 | journal=[[Notices of the American Mathematical Society]] | issn=0002-9920 | volume=57 | issue=2 | pages=220–229}}</ref> It is close to a more general curve called a flattened catenary, with equation {{math|1=''y'' = ''A'' cosh(''Bx'')}}, which is a catenary if {{math|1=''AB'' = 1}}. While a catenary is the ideal shape for a freestanding arch of constant thickness, the Gateway Arch is narrower near the top. According to the U.S. [[National Historic Landmark]] nomination for the arch, it is a "[[weighted catenary]]" instead. Its shape corresponds to the shape that a weighted chain, having lighter links in the middle, would form.<ref>{{cite journal| last = Hicks| first = Clifford B.| title = The Incredible Gateway Arch: America's Mightiest National Monument| url = https://books.google.com/books?id=BuMDAAAAMBAJ&pg=PA89| volume = 120|date=December 1963| page = 89| issn = 0032-4558| issue = 6| journal = [[Popular Mechanics]] }}</ref><ref name="nrhpinv2">{{citation|url={{NHLS url|id=87001423}}|title=National Register of Historic Places Inventory-Nomination: Jefferson National Expansion Memorial Gateway Arch / Gateway Arch; or "The Arch"|year=1985 |first=Laura Soullière |last=Harrison |publisher=National Park Service }} and {{NHLS url|id=87001423|title=''Accompanying one photo, aerial, from 1975''|photos=y}}&nbsp;{{small|(578&nbsp;KB)}}</ref> 

<gallery mode="packed" heights="200px"> 
File:LaPedreraParabola.jpg|Catenary<ref>{{cite book| last = Sennott| first = Stephen| title = Encyclopedia of Twentieth Century Architecture| year = 2004| publisher = Taylor & Francis| isbn = 978-1-57958-433-7| page = 224 }}</ref> arches under the roof of [[Gaudí]]'s ''[[Casa Milà]]'', [[Barcelona]], Spain.
File:Sheffield Winter Garden.jpg|The [[Sheffield Winter Garden]] is enclosed by a series of [[catenary arches]].<ref>{{cite book| last = Hymers| first = Paul| title = Planning and Building a Conservatory| year = 2005| publisher = New Holland| isbn = 978-1-84330-910-9| page = 36 }}</ref>
File:Gateway Arch.jpg|The [[Gateway Arch]] ([[St. Louis, Missouri]]) is a flattened catenary.
File:CatenaryKilnConstruction06025.JPG|Catenary arch kiln under construction over temporary form
</gallery>

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