Geometry

Related lectures (25)

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Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.