Envelope of Curves

Related lectures (30)

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

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

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

Explores parametric curves, focusing on finding envelopes and caustics.

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

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

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

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.