WOLFRAM|DEMONSTRATIONS PROJECT

Arc Length of the Hyperbolic Cosine

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x coordinate of N
2.
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
r
equal to the
y
coordinate of the point N. Let P be the intersection of the circle with the
x
axis. The distance OP gives the arc length.