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Related lectures (31)
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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.
General Conics and Motor Blocks
Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.
Homogeneous Coordinates and Conics
Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
General Conics: Symmetry and Elimination
Covers the concepts of mixed product, cross product, homo coordinates, and general conics.
Geometry Analysis: Hyperbola and Ellipse
Explores hyperbolas and ellipses, focusing on parameters, eccentricity, and equations.
General Conics: Ellipse and Hyperbola
Explores general conics, emphasizing ellipses and hyperbolas, discussing passage matrix, cross product, and eigenvalues.
Geometry: Ellipse and Hyperbola
Explores the properties of ellipses, hyperbolas, circles, and products in geometry.
Solving Linear Programs: SIMPLEX Method
Explains the SIMPLEX method for solving linear programs and optimizing the solution through basis variable manipulation.
Geometry: Passage to Space
Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.
Hyperboloid Surfaces: Sections and Developability
Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
Analytical Geometry: Conic Sections
Covers the properties and equations of conic sections.
Conic Sections: Basics and Properties
Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.
Geometry of Hyperbolas and Ellipses
Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.
Conic Sections: Definitions and Equations
Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.
Dandelin Theorem: Ellipse Construction
Explores ellipse construction using the Dandelin theorem and properties of conics in space.
Quadratic Forms: Definitions, Examples
Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.
Forces Centrales and Kepler's Laws
Explores central forces, trajectories, acceleration, and conic shapes in physics.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
Geometry: Opening of the Course on February 25
Covers the synthesis of results from the first semester, focusing on flat curves, spatial curves, surfaces, and projections.
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