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Lecture
Conic Sections: Basics and Properties
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Analytical Geometry: Conic Sections
Covers the properties and equations of conic sections.
Conic Sections: Ellipse and Hyperbola
Explores properties of conic sections, center, equations, and coordinate transformations.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
Homogeneous Coordinates and Conics
Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
Conic Sections: Definitions and Equations
Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
General Conics: Symmetry and Elimination
Covers the concepts of mixed product, cross product, homo coordinates, and general conics.
Geometry of Hyperbolas and Ellipses
Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.