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classical differential geometry (Topic)

Curves in $ \mathbbmss{R}^2$

Curves in $ \mathbbmss{R}^3$

Surfaces in $ \mathbbmss{R}^3$

The space $ \mathbbmss{R}^3$




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"classical differential geometry" is owned by matte. [ full author list (6) ]
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See Also: differential geometry

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Cross-references: Cartan structural equations, Euclidean, rotation, vector fields, fields, frame, equation, Gauss, connection, Gauss-Bonnet theorem, Calculus, geodesic, mean curvature, Gaussian curvature, shape operator, map, sphere, second fundamental form, mean curvature at surface point, Meusnier's theorem, normal curvatures, normal section, surface normal, surface of revolution, level surface, moving trihedron, level curve, space curve, catacaustic, determining envelope, envelope, plane, famous curves, evolute of cycloid, evolute, properties of parallel curves, parallel curves, orthogonal curves, osculating curve, curvature of Nielsen's spiral, curvature determines the curve, circle of curvature, plane curve, curvature, isocline, singular points of plane curve, inflexion point
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This is version 35 of classical differential geometry, born on 2005-05-18, modified 2009-04-04.
Object id is 7074, canonical name is ClassicalDifferentialGeometry.
Accessed 4145 times total.

Classification:
AMS MSC53A04 (Differential geometry :: Classical differential geometry :: Curves in Euclidean space)
 53A05 (Differential geometry :: Classical differential geometry :: Surfaces in Euclidean space)

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