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From: aegis on 14 Feb 2010 21:55
given the Frenet-Serret formula dT/ds =kN where T is the unit tangent
vector
and N is the unit normal vector:
how does s' * dT/ds * s' = k(s')^2 * N ? where s' = ds/dt

I'm working this out to prove:
r'' = s''T + k(s')^2N

where r is a vector.

I don't see how I can express the left hand side
as the right hand side of:
s' * dT/ds * s' = k(s')^2 * N

dT/ds = N but how can we relate
s' * s' to k(s')^2?



--
aegis
 | 
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Next: Paradoxes of Set Theory: