Category

Euclidean geometry

Related lectures (920)
Triangle Resolution: Trigonometry Basics
Covers the resolution of triangles using trigonometric functions to find missing sides and angles.
Regular Polyhedra: Symmetries & Generation
Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Mediatrix and Bisector
Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
Optimization Problems
Explores optimization problems to find global extrema of functions over domains.
Introduction to Conic Sections in Space
Covers the introduction to conic sections in space, focusing on ellipses and their properties.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Surface Integrals: Regular Parametrization
Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.
Ellipses and Conics
Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

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