ch13anim.pdf - Unit Tangent Vector Animation 1 dr 0 0 r t where r = dt |r0(t)| x(t y(t =(cos t sin 3t 0 ≤ t < 2π T(t = y 1 T(t r(t −1 −1 1 x

# ch13anim.pdf - Unit Tangent Vector Animation 1 dr 0 0 r t...

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Unit Tangent Vector Animation T ( t ) = 1 | r 0 ( t ) | r 0 ( t ) where r 0 = d r d t ( x ( t ) , y ( t )) = ( cos t , sin 3 t ) , 0 t < 2 π
Osculating Circle Animation N ( t ) = T 0 ( t ) | T 0 ( t ) | κ ( t ) = | T 0 ( t ) | | r 0 ( t ) | = | r 0 (

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Unformatted text preview: t ) × r 00 ( t ) | | r ( t ) | 3 Radius of circle R = 1 κ...
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