Sphere, Cone, and Paraboloid

Related lectures (30)

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Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

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

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

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

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

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

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

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

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Discusses center of gravity, variable change, spherical coordinates, and bijectivity in mathematical analysis.