Example 2-7-15 - Maple Help



Chapter 2: Space Curves



Section 2.7: Frenet-Serret Formalism



Example 2.7.15



If $C$ is the curve given by  in Example 2.6.4,

 a) Obtain its Darboux vector $\mathbf{d}$.
 b) Verify the three identities in Table 2.7.3.
 c) Show that $\mathbf{T}\prime ×\mathbf{T}″={\mathrm{κ}}^{2}\mathbf{d}$, where primes denote differentiation with respect to arc length $s$.