Example 2-6-1 - Maple Help

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Chapter 2: Space Curves

Section 2.6: Binormal and Torsion

Example 2.6.1

For C, the helix defined by Rp=cosp i+sinp j+p k in Example 2.5.6,

a) 

Obtain the TNB-frame.

b) 

Calculate the torsion τ by both formulas on the right in Table 2.6.1.

c) 

Verify the equality T.p·B.p= κ τ ρ2.

d) 

Graph C, along with the TNB-frame at p=π/3.

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