Question: Verify that the tractrix curve ( > 0) has the following property: For all t, the segment from c(t) to (t, 0) is tangent to

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

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

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