Lectures related to Elliptical Trajectories: Epicyclic System & Instruments

Conic Sections: Planar Curves

Explores conic sections, such as ellipses, hyperbolas, and parabolas, focusing on their geometric and algebraic properties and practical applications.

Analytic Geometry x Hyperbola: Ellipse and Affinity

Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.

Ellipses in Mechanics

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

Conic Sections: Ellipse and Hyperbola

Explores properties of conic sections, center, equations, and coordinate transformations.

General Conics and Homogeneous Coordinates

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

Epicyclic Curves: Modeling Instruments for Plane Curves

Explores modeling instruments for generating plane epicyclic curves, including circles and ellipses, and their spatial counterparts.

Geometry: Instrument Epicycle

Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.