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Lecture
Homogeneous Coordinates and Conics
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Conic Sections: Ellipse, Parabola, Hyperbola
Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
Dandelin Theorem: Ellipse Construction
Explores ellipse construction using the Dandelin theorem and properties of conics in space.
Descriptive Geometry: Cones and Cylinders
Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.
General Conics: Ellipse and Hyperbola
Explores general conics, emphasizing ellipses and hyperbolas, discussing passage matrix, cross product, and eigenvalues.
Descriptive Geometry: Cones and Cylinders
Explores points at infinity, conic sections, asymptotes, and tangents in circular cones.
Conic Sections: Ellipse, Hyperbola, Parabola
Covers the properties and equations of conic sections, including the ellipse, hyperbola, and parabola.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
Conic Sections: Planar Curves
Explores conic sections, such as ellipses, hyperbolas, and parabolas, focusing on their geometric and algebraic properties and practical applications.
Conic Sections: Ellipse, Hyperbola, Parabola
Explores properties and equations of conic sections like ellipse, hyperbola, and parabola.