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Lecture
Ellipses in Astronomy and Mathematics: Key Concepts
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Geometric Modeling for Architects: Ellipses and Structures
Covers the geometric modeling of ellipses and their applications in architecture.
Ellipses and Conics
Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Geometric Properties of Conics: Ellipses and Their Applications
Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
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.
Introduction to Conic Sections in Space
Covers the introduction to conic sections in space, focusing on ellipses and their properties.
Conic Sections: Equivalence and Intersection
Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.
Conic Sections: Ellipse, Parabola, Hyperbola
Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
Ellipse: Astronomical Evolution to Mathematical Formulation
Explores the transition from geocentric to heliocentric models and the mathematical principles behind elliptical trajectories.