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Lecture
Elliptical Trajectories: Epicyclic System & Instruments
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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.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Analytical Geometry: Conic Sections
Covers the properties and equations of conic sections.
Homogeneous Coordinates and Conics
Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
Geometric Modeling for Architects: Ellipses and Structures
Covers the geometric modeling of ellipses and their applications in architecture.
Conic Sections: Basics and Properties
Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
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 Conics: Ellipses and Their Applications
Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.
Curves with Poritsky Property and Liouville Nets
Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.