It typifies "the pioneer spirit of the men and women who won the West, and those of a latter day to strive on other frontiers".
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The Jefferson National Expansion Memorial, The Gateway Arch, is located in St. Louis, Missouri.
Because that's how the architect designed them.
The arc of a football when it is kicked is a hyperbola. The arch of a water spout from a hose. Some think the gateway arch is a hyperbola but it is a centenary arch which is close but just a little different.
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.
An arch works by transfering the load on the central portion of the arch outward and downward into the columns which support it.