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Lecture
Envelope of Curves
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Related lectures (30)
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Geometric Surfaces: Paraboloids and Hyperboloids in Architecture
Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.
Plates II: Mechanics of Slender Structures
Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.
Curves in the Oriented Plane
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Mechanics of Kirchhoff Rods I
Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.
Implicit Curves: Analysis & Regular Points
Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.
Geometric Quantities in Parameterized Curves
Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.
Geometric Surfaces: Paraboloid and Hyperboloid Concepts
Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.
Approximation of Ellipses by Ovals
Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.
Surfaces with Variable Curvature
Explores surfaces with variable curvature, discussing their construction and properties.
Curves and Isometries
Explores curves, isometries, Bezier curves, and the Frenet coordinate system.