Lectures related to Confocal conic sections

Conic Sections: Definitions and Equations

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.

Conic Synthesis in the Plane

Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.

Homogeneous Coordinates and Conics

Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.

Central Force Dynamics

Explores central force dynamics, conservation laws, and conic sections properties.

Analytical Geometry: Conic Sections

Covers the properties and equations of conic sections.

Conic Sections: Planar Curves

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

Sphere, Cone, and Cylinder: Descriptive Geometry

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

Geometric Properties of Conics: Ellipses and Their Applications

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

Descriptive Geometry: Cones and Cylinders

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

Descriptive Geometry: Cones and Cylinders

Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.

Geometric Modeling for Architects: Ellipses and Structures

Covers the geometric modeling of ellipses and their applications in architecture.

Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Geometric Structures: Advanced Modeling and Documentation

Covers advanced geometric modeling techniques and detailed documentation for assembly and animations.

Ellipses in Astronomy and Mathematics: Key Concepts

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

Geometric Properties of Ellipses and Their Applications

Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.

Curves with Poritsky Property and Liouville Nets

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Central Forces and Conics

Delves into central forces, conic sections, and the law of areas, showcasing experiments and mathematical derivations.

Kepler's Laws: Elliptical Orbits

Explores Kepler's laws and the transition to elliptical orbits, emphasizing the mathematical construction and geometric properties of conic sections.

Central Motion: Conic Sections and Kepler's Laws

Explores trajectory parameters, types, and Kepler's laws in central motion scenarios.

Small Program Construction

Covers constructing a program with 7 user choices and organizing it into main script and functions.