catenary

logistic_guy

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Calculate the arc-length of the catenary \(\displaystyle \gamma (t)=(t, \cosh t)\) starting at the point \(\displaystyle (0, 1)\). This curve has the shape of a heavy chain suspended at its ends – see Exercise \(\displaystyle 2.2.4\).
 
Calculate the arc-length of the catenary \(\displaystyle \gamma (t)=(t, \cosh t)\) starting at the point \(\displaystyle (0, 1)\). This curve has the shape of a heavy chain suspended at its ends – see Exercise \(\displaystyle 2.2.4\).
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