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Lecture
Geometry of Hyperbolas and Ellipses
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Related lectures (24)
Geometry: Ellipse and Hyperbola
Explores the properties of ellipses, hyperbolas, circles, and products in geometry.
Elliptical Arch Construction
Explores the construction of elliptical arches using a single ellipse arc.
Analytic Geometry x Hyperbola: Ellipse and Affinity
Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
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.
Conic Sections: Definitions and Equations
Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.
Hyperboloid Surfaces: Sections and Developability
Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
Conic Sections: Basics and Properties
Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.
Analytical Geometry: Circles and Tangents
Explores circles, tangents, right lines, planes, and vector products in analytical geometry.
Ellipse and Circle Tangents
Discusses tangents for circles and ellipses, poles, and duplication rule.
Homogeneous Coordinates: Ellipse and Hyperbola
Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.
Descriptive Geometry: Ellipse Projections
Explores ellipse projections, discussing properties, construction methods, and practical examples.
Conic Sections: Ellipse, Parabola, Hyperbola
Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
Homogeneous Coordinates and Curves
Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.
Surfaces in Geometry II
Explores geometric surfaces, rules between shapes, and architectural applications.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Inversion & Family of Orthogonal Circles
Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.
General Conics: Symmetry and Elimination
Covers the concepts of mixed product, cross product, homo coordinates, and general conics.
Affinity and Ellipses in Descriptive Geometry
Explores affinity in geometry, segment construction, ellipses, and circle projections.
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