logcosine curve
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last updated: 2004-01-23 |

Given a flexible inextensible
rope, hanging between two fixed points. The logcosine curve is found as
form for the rope when the resistance is constant 1).
The curve has been studied by Gilbert (1826) and Coriolis
(1836).
notes
1) Corresponding to the differential equation: y'' = 1 + y'2.
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