Verify that the tractrix curve ( > 0) has the following property: For all t, the segment

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Verify that the tractrix curve (ℓ  > 0)

c(t) = (t - & tanh , & sech)

has the following property: For all t, the segment from c(t) to (t, 0) is tangent to the curve and has length ℓ (Figure 28).

y l c(t) l X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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