Ruled surface

Related lectures (28)

Page 2 of 3

Explores quadratic surfaces in 3D space, discussing hyperboloids and their Cartesian equations, emphasizing the importance of reference frames.

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

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

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

Explains the definitions of cones and cylinders as ruled surfaces and how to find tangent planes to them.

Explores surfaces with variable curvature, constant curvature, and gothic surfaces, as well as singularities and the inversion of normals.

Explores cones and cylinders in descriptive geometry, covering ruling surfaces and tangent planes.

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

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Explores the definition and applications of tangent vectors in determining curve directions on surfaces.