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Normal Curvature
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Related lectures (31)
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Plates III: Mechanics of Slender Structures
Covers the equations of plates, bending and stretching energy, von Karman equations, and buckling of plates.
Differential Geometry of Surfaces
Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.
Frenet-Serret Formulas: Curvature and Torsion
Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.
Cylinders: Pressure and Geometry
Explores cylindrical pressure vessels, surfaces parametrization, and geometrical properties computation.
Curvature and Oriented Curvature
Explores the concepts of curvature, oriented curvature, and inflection points in regular curves.
Curves with Poritsky Property and Liouville Nets
Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.
Rigidity in Negative Curvature
Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.
Geometric Surfaces: Paraboloids and Hyperboloids in Architecture
Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.
Helical Curves: Theory and Applications
Explores the theory and applications of helical curves, focusing on circular helices with various parameters.
Minimal Surfaces: Analytic Examples
Explores minimal surfaces, their properties, history, classification based on curvature, and examples from the Minimal Surfaces Gallery.