Non-Euclidean geometry

Related lectures (25)

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Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Explores the properties of ellipses, hyperbolas, circles, and products in geometry.

Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.

Explores geometric surfaces, rules between shapes, and architectural applications.

Explores the spectrum of hyperbolic surfaces, focusing on Fuchsian groups and their actions.

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.