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Lecture
Conic Sections: Ellipse, Parabola, Hyperbola
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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.
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.
Ellipses and Conics
Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Hyperboloid Surfaces: Sections and Developability
Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
Geometry: Passage to Space
Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.
Conic Sections: Definitions and Equations
Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.
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.
Geometric Modeling for Architects: Ellipses and Structures
Covers the geometric modeling of ellipses and their applications in architecture.