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Differential Geometry: the Osculating Circle
First of all thanks to everyone who took time to read and consider this problem in order to help me out, I appreciate it. So I have a method to prove the claim. I'll sketch the ideas that lead to the proof quickly right now for this who are interested and post something more detailed when I...- theshareef
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- Forum: Calculus and Beyond Homework Help
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Differential Geometry: the Osculating Circle
Homework Statement let f: J --> R^2 be a unit speed curve curve and define it's tangentially equidistant campanion by g(u) = f(t) + r*f'(t) for a fixed r>0. Show that the centre of the osculating circle of f at some u in J is the intersection of the line normal to f'(u) through f(u) and the...- theshareef
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- Circle Differential Differential geometry Geometry
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- Forum: Calculus and Beyond Homework Help