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Catenary

The curve whose equation is y = k cosh(x/k), where k is a constant. A homogenous, perfectly flexible, inelastic cable, tape, or wire will, when suspended from two fixed points at its ends, assume this curve. If the density of the cable is d and the force of gravity is g, then the distance y' of a point on the cable from the ground is y' = h + (k/dg) cosh(xdg/k), where h and k are constants.

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