Spatial Curves: Singularities and Mechanisms

Related lectures (27)

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

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Explores surfaces with variable curvature, discussing their construction and properties.

Examines geometric singularities in architectural design through the analysis of spatial intersections.

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.

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.

Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.

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