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Lecture
Ellipse: Astronomical Evolution to Mathematical Formulation
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Ellipses and Conics
Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Elliptical Trajectories: Epicyclic System & Instruments
Explores elliptical trajectories in the Copernican system and the instruments used to trace them.
Geometric Modeling for Architects: Ellipses and Structures
Covers the geometric modeling of ellipses and their applications in architecture.
Geocentric vs Heliocentric Models
Compares the geocentric and heliocentric models of the universe proposed by Ptolemy and Copernicus.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Ancient Astronomical Models: Spheres to Ellipses
Explores the transition from ancient spherical models to Kepler's ellipses in astronomy.
Geometric Properties of Conics: Ellipses and Their Applications
Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.
Planetary Retrogradations: Copernic's Epicyclic Model
Explores the transition from epicyclic curves to Kepler's ellipses and the Copernican revolution in astronomy.
Dandelin Theorem: Ellipse Construction
Explores ellipse construction using the Dandelin theorem and properties of conics in space.