Lectures related to Conic Sections: Planar Curves

Explores points at infinity, conic sections, asymptotes, and tangents in circular cones.

Explores spheres, cones, and cylinders, including intersections, ruled surfaces, and conic sections with practical examples.

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.

Covers the properties and applications of ellipses in astronomy and mathematics, including Kepler's laws and practical construction methods.

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Explores general conics, emphasizing ellipses and hyperbolas, discussing passage matrix, cross product, and eigenvalues.

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