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October 28th, 2014, 05:38 PM   #1
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Parametric Equation, Osculating Curve

Hello,
I'm having some difficulty with this question:
Give a parametric equation for an osculating circle in terms of c, T, N, and k.
c is the unit circle.

T is the unit tangent vector
N is the unit normal vector
k is the curvature.
τ is torsion

Also,
I was given this equation (matrix form):

d/ds(T N B)=(T N B) x (τ 0 k)
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