Geodesic Curves: Minimizing Distance and Constant Speed

Related lectures (27)

Page 1 of 3

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

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

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

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

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

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

Explores spatial curves, singularities, and mechanisms, analyzing their geometric properties and applications.

Explores the concepts of curvature, oriented curvature, and inflection points in regular curves.