Geodesics and Map Projections

Related lectures (31)

Page 3 of 4

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Explores equilibrium of cylindrical shells, parametrization of surfaces, and geometrical properties.

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Covers the missing projection of points on a sphere using principal planes.

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Explores the nonlinear theory of spherical shells, including Reissner's solution and Zoelly's solution for pressure buckling.

Analyzes beams, forces, stresses, deformations, curvature, deflection, and rigidity.

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

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