Surfaces in Space

Related lectures (31)

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Explains the parametric equations of surfaces of revolution generated by curves in space.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Covers the equations for curves and surfaces in space, including parametric and particular surfaces.

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.