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Catenary

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Plots catenary curves for 3 specified sag parameters, with the distance between supports set to 1.
Zero Line
Degree of sag a1
Degree of sag a2
Degree of sag a3
The closer the sag parameter a is to 0, the greater the sag.

\(\normalsize Catenary\\ (1)\ f(x,a)=a(\cosh{\large\frac{x}{a}}-\cosh{\large\frac{0.5}{a}})\\ \hspace{40px}at\ fulcrum\ points:\ f(\pm 0.5,a)=0 \\ (2)f(x,a)=a(\cosh{\large\frac{x}{a}}-1)\\ \hspace{40px}at\ the\ lowest\ point:\ f(0,a)=0\\\)

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