Catenary

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A hanging chain forms a catenary.

In physics and geometry, the catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. The curve has a U-like shape, superficially similar in appearance to a parabola (though mathematically quite different). It also appears in the design of certain types of arches and as a cross section of the catenoid -- the shape assumed by a soap film bounded by two parallel circular rings.

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• Related: Overhead lines, Roulette (curve), Troposkein

Catenary Catenary www.geom.uiuc.edu/zoo/diffgeom/surfspace/catenoid/catenary.html - Web

"Chaînette" "Chaînette" www.mathcurve.com/courbes2d/chainette/chainette.shtml - Web

"Chaînette élastique" "Chaînette élastique" www.mathcurve.com/courbes2d/chainette/chainetteelastique.shtml - Web

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Gallery for «Catenary»

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"Chaînette d'Égale Résistance" "Chaînette d'Égale Résistance" www.mathcurve.com/.../chainettedegaleresistance.shtml - Web

"Courbe de la corde à sauter" "Courbe de la corde à sauter" www.mathcurve.com/courbes2d/cordeasauter/cordeasauter.shtml - Web

"Catenary" at Visual Dictionary of Special Plane C... "Catenary" at Visual Dictionary of Special Plane Curves xahlee.org/SpecialPlaneCurves_dir/Catenary_dir/catenary.html - Web

Hanging With Galileo Hanging With Galileo whistleralley.com/hanging/hanging.htm - Web

Catenary Demonstration Experiment Catenary Demonstration Experiment jonathan.lansey.net/pastimes/catenary/index.html - Web

Catenary curve derived Catenary curve derived members.chello.nl/j.beentjes3/Ruud/catfiles/catenary.pdf - Web

Cable Sag Error Calculator Cable Sag Error Calculator www.spaceagecontrol.com/calccabl.htm - Web

Hexagonal Geodesic Domes – Catenary Domes Hexagonal Geodesic Domes – Catenary Domes hexdome.com/essays/catenary_domes/index.php - Web

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Dynamic as well as static cetenary curve equations... Dynamic as well as static cetenary curve equations derived www.subhrajit.net/.../catenary.pdf - Web

Ira Freeman "A General From of the Suspension Brid... Ira Freeman "A General From of the Suspension Bridge Catenary" Bulletin of the AMS www.ams.org/.../S0002-9904-1925-04083-5.pdf - Web

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