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Lecture
Conic Sections: Parabola
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Elliptical Trajectories: Epicyclic System & Instruments
Explores elliptical trajectories in the Copernican system and the instruments used to trace them.
Conic Sections: Reduction and Symmetry
Explores the reduction and symmetry of conic sections, including canonical forms and transformation properties.
Homogeneous Coordinates and Conics
Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Conic Sections: Ellipse, Parabola, Hyperbola
Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
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.
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.
Dandelin Theorem: Ellipse Construction
Explores ellipse construction using the Dandelin theorem and properties of conics in space.
Geometric Properties of Ellipses and Their Applications
Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.
Conic Sections: Ellipse, Hyperbola, Parabola
Explores properties and equations of conic sections like ellipse, hyperbola, and parabola.