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Mathematics
Differential Geometry
Theory of Surfaces and Theory of Curves Relationship
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[QUOTE="ltkach2015, post: 5619736, member: 520445"] Hello I am interested in the Frenet-Serret Formulas (theory of curves?) relationship to theory of surfaces. 1) Can one arrive to the Frenet-Serret Formulas starting from the theory of surfaces? Any advice on where to begin? 2) For a surface that contain a space curve: if the unit tangent vector to the curve is the very same unit tangent vector the surface then why/how is the unit normal vector to the curve not in the same direction as the surface's gradient vector? Thank you [/QUOTE]
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Differential Geometry
Theory of Surfaces and Theory of Curves Relationship
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