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What are the similarities between parabola and catenary?
The Catenary and Parabola are different curves that look similar; they are both "U" shaped and symmetrical, increasing infinitely on both sides to a minimum.
What surface is formed when you rotate a catenary about its vertical axis?
apparently, it is called catenoid.
What is an Arch of an inverted catenary shape?
One is the "Gateway To The West" arch in St. Louis, Missouri. It is also possible McDonalds Restaurants have a double inverted catenary arch shape. It resembles a letter M in script form.
What is the evolute of a catenary?
The curve given by (t-sinh(t)cosh(t), 2 cosh(t)), t real.
Is an arch a mathematical shape?
No shape is mathematical really unless it has been created by a mathematical formula, but is certainly a geometric shape. But anything which is a 2D or 3D shape is geometric. My improvement: A catenary curve from a mathematical equation such as cosh x, is a mathematical and natural shape. Maby each other arch can be approximated by a mathematical formula.
