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Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
Quadratic Surfaces in 3D SpaceExplores quadratic surfaces in 3D space, discussing hyperboloids and their Cartesian equations, emphasizing the importance of reference frames.
Geometry: Passage to SpaceExplores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.
Surfaces in GeometryExplores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Surfaces in SpaceExplores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Geometric QuantizationExplores geometric quantization, the process of quantizing classical systems to obtain quantum systems using mathematical techniques like pseudo-differential calculus.