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Related lectures (30)
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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.
Ellipse and Circle: Geometric Analysis
Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
Dandelin Theorem: Ellipse Construction
Explores ellipse construction using the Dandelin theorem and properties of conics in space.
Geometry: Passage to Space
Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.
Conic Sections: Parabola
Explores the properties and equations of the parabola, including its locus and key parameters.
Derivative of a Function: Tangent Equation
Explores finding tangent equations and slopes through derivatives.
Parabola and Catenary: Structural Art
Explores parabolas, catenaries, and structural forms of iconic buildings.
Ellipses in Astronomy and Mathematics: Key Concepts
Covers the properties and applications of ellipses in astronomy and mathematics, including Kepler's laws and practical construction methods.
Parametric Trajectories and Integrals
Explores parametric trajectories, integral calculation methods, and area filling under curves with triangles.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
Geometric Properties of Ellipses and Their Applications
Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.
Conic Sections: Ellipse, Hyperbola, Parabola
Covers the properties and equations of conic sections, including the ellipse, hyperbola, and parabola.
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.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Barycenters: Examples
Covers examples of barycenters and expressing points as barycenters of given points.
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.
Conic Sections: Ellipse, Hyperbola, Parabola
Explores properties and equations of conic sections like ellipse, hyperbola, and parabola.
Conic Synthesis in the Plane
Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.
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