June 13th, 2013, 07:32 AM  #1 
Member Joined: Dec 2006 Posts: 90 Thanks: 0  Ruled Surfaces
What's relevance among the coefficients of the first and second fundamental forms of a ruled surface?

July 19th, 2013, 06:27 PM  #2 
Member Joined: May 2013 From: Phnom Penh, Cambodia Posts: 77 Thanks: 0  Re: Ruled Surfaces
You can find the relevance among those coefficients by using Gaussian Curvature of noncylindrical ruled surface K =<vect n,vect n> (LN M^2)/(EGF^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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