Euclidean geometry

Related lectures (20)

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Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.

Explores optimization problems to find global extrema of functions over domains.

Covers the introduction to conic sections in space, focusing on ellipses and their properties.

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

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.