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June 13th, 2013, 06:32 AM   #1
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Ruled Surfaces

What's relevance among the coefficients of the first and second fundamental forms of a ruled surface?
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July 19th, 2013, 05:27 PM   #2
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Re: Ruled Surfaces

You can find the relevance among those coefficients by using Gaussian Curvature of non-cylindrical ruled surface
K =<vect n,vect n> (LN -M^2)/(EG-F^2)
Where vect n means vector of n.
E, F, G are the coefficients of the first fundamental form of surface,
L, M, N are the coefficients of the second fundamental form of surface.
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