Lectures related to Conic Sections: Ellipse, Hyperbola, Parabola

Hyperboloid Surfaces: Sections and Developability

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

Explores the properties and equations of the parabola, including its locus and key parameters.

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

Homogeneous Coordinates: Ellipse and Hyperbola

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

Elliptical Trajectories: Epicyclic System & Instruments

Explores elliptical trajectories in the Copernican system and the instruments used to trace them.

Geometry: Passage to Space

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

Ellipses in Mechanics

Explains ellipses in Cartesian and polar coordinates, focusing on geometric locus and trajectory parameters using mechanical energy and angular momentum constants.

Geometric Properties of Conics: Ellipses and Their Applications

Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.