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Catenary Involute


CatenaryInvolute
CatenaryInvoluteMovie

The parametric equations for a catenary are

x=t
(1)
y=cosht,
(2)

giving the involute as

x_i=t-tanht
(3)
y_i=secht.
(4)

The involute is therefore half of a tractrix.


See also

Catenary, Catenary Evolute, Involute, Tractrix

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Cite this as:

Weisstein, Eric W. "Catenary Involute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CatenaryInvolute.html

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