Geometry of Surfaces in R²

Related lectures (28)

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Explores geometric surfaces, rules between shapes, and architectural applications.

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.

Explores conical and gnomonic curves, celestial representations, and solar paths through sketches and modeling tools.

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Explains the geometric definitions of cones and cylinders in space and their tangent properties.

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.

Explores surfaces and curvature in 3D modeling, covering zero curvature, variable curvature, and constant canonical curvatures.