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It is a catenary, as defined by the following mathematical equations:

y = cosh(x)

or

y = (e^x + e^-x)/2

A catenary is the shape which a flexible linear object with constant mass will naturally hang in when it's endpoints are fixed. The classic example is a cable or a chain. Catenary's have a practical application in arch construction because the force of the weight of the higher portions of the arch is always directed into the lower portions of the arch, making it very self supporting. This is why the Arch is constructed as a catenary, and why it is still standing.

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11y ago
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Q: What is the mathematical term for the St. Louis Arch.?
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