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Lecture
Descriptive Geometry: Cones and Cylinders
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Related lectures (43)
Implicit Surfaces: Regular Points
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Explains regular points on implicit surfaces and their relationship with gradients and tangent planes.
Descriptive Geometry: Cones and Cylinders
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Covers the geometry of cones and cylinders, including sections of conics and Dandelin's theorem.
Dandelin Theorem: Ellipse Construction
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Explores ellipse construction using the Dandelin theorem and properties of conics in space.
Surfaces with Variable Curvature
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Explores surfaces with variable curvature, discussing their construction and properties.
Differential Geometry: Surfaces
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Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.
Hyperboloid Surfaces: Sections and Developability
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Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
Surface Integrals: Implicit Surfaces
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Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.
Surfaces in Geometry
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Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Curves and Surfaces
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Covers the representation of plane curves and the nature of obtained curves.
Descriptive Geometry: Cones and Cylinders
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Explores section planes of circular cones and their intersections with lines.
Descriptive Geometry: Cones and Cylinders
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Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.
Calculus Applications: Lengths and Surfaces of Revolution
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Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.
Curvilinear Integrals
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Covers curvilinear integrals in R^n, focusing on continuous functions and curves.
Electric Flux and Closed Surfaces
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Explains electric flux through closed surfaces and its calculation using surface integrals, emphasizing the relationship with enclosed charge.
Conics in the Plane: Uniform Description of 3 Conics
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Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Implicit Functions Theorem
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Explores the implicit functions theorem and the equation of the tangent plane in a graph.
Geometric Analysis: Singularities in Architectural Design
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Examines geometric singularities in architectural design through the analysis of spatial intersections.
All things Riemannian: metrics, (sub)manifolds and gradients
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Covers the definition of retraction, open submanifolds, local defining functions, tangent spaces, and Riemannian metrics.
Analytical Geometry: Circles and Tangents
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Explores circles, tangents, right lines, planes, and vector products in analytical geometry.
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