Concept
Intersection
Related lectures (35)
Stereographic Projection: Sphere Parameterization
Explores stereographic projection and sphere parameterization, emphasizing regularity and line independence.
Conic Sections: Equivalence and Intersection
Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.
Surfaces in Geometry
Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Isometries & Orientation: Modern Symmetry
Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.
Intersection Numbers: Algebraic Counting Solutions
Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.
Intersection between Sphere and Cone
Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.
Geodesics on Surfaces
Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.
Configurations of 2 Lines in Space
Explores the configurations of two lines in space and the ambiguity in their representation.