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 November 2nd, 2010, 05:47 AM #1 Newbie   Joined: Oct 2010 Posts: 15 Thanks: 0 Analytic Geometry Anyone? Derive the angle between two curves on a surface.
 November 2nd, 2010, 06:02 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,193 Thanks: 504 Math Focus: Calculus/ODEs Re: Analytic Geometry If the two curves are given by f(x) and g(x), I would think the angle between them at a given x could be found by: $\theta=\tan^{-1}\left(f'(x)\right)-\tan^{-1}\left(g#39;(x)\right)$
 November 2nd, 2010, 06:15 AM #3 Newbie   Joined: Oct 2010 Posts: 15 Thanks: 0 Re: Analytic Geometry Thanks
 November 2nd, 2010, 07:43 AM #4 Newbie   Joined: Oct 2010 Posts: 15 Thanks: 0 Re: Analytic Geometry Can you give me the derivation, because that's what I need?
 November 2nd, 2010, 12:47 PM #5 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,193 Thanks: 504 Math Focus: Calculus/ODEs Re: Analytic Geometry There really was no derivation, this is merely the difference in slope angles.

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