Curves in the Oriented Plane

Related lectures (29)

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

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

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

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

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

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