Arc Length of the Hyperbolic Cosine

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The length of the arc MN of the graph of the hyperbolic cosine can be found with a compass. Draw a circle with center M and radius equal to the coordinate of the point N. Let P be the intersection of the circle with the axis. The distance OP gives the arc length.

Contributed by: Bernard Vuilleumier (March 2011)
Open content licensed under CC BY-NC-SA


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