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(Solved): 1.17 Let A Be A Regular Curve In R With Non-zero Curvature And Torsion. Prove That The Tangent Lines...


1.17 Let a be a regular curve in R with non-zero curvature and torsion. Prove that the tangent lines to a make a constant ang

1.17 Let a be a regular curve in R with non-zero curvature and torsion. Prove that the tangent lines to a make a constant angle with a fixed direction in R if and only if K/t is constant. Such a curve is called a generalised helix. (Hint: if k/t = k for some constant k, consider the vector t - kb.)


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