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Is it true that if I have a planar curve parametrized by its arc length, then the second derivative points towards to the center of the osculating circle?

I can´t see it, but the book says that it´s true. I don´t see why it's true geometrically or algebraically. Can someone explain it to me?

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    Second derivative of what ?2011-08-07
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    of the function s --> ( x(s) , y(s) where s is the arcoparameter2011-08-07

3 Answers 3