Concept explainers
Frenet-Serret Formulas The following formulas, called the Frenet-Serret formulas, are of fundamental importance in differential geometry:
1.
2.
3.
(Formula 1 comes from Exercise 63 and Formula 3 is Equation 12.)
72. Use the Frenet-Serret formulas to prove each of the following. (Primes denote derivatives with respect to
(a)
(b)
(c)
(d)
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Calculus, Early Transcendentals
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