Concept

Steiner conic

Related lectures (29)

Conic Synthesis in the Plane

Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.

Conics in the Plane: Uniform Description of 3 Conics

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Central Force Dynamics

Explores central force dynamics, conservation laws, and conic sections properties.

Canonical Analysis: Quadratic Geometry

Explores canonical analysis of quadratic functions to identify conic shapes in planes.

General Conics and Motor Blocks

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.

Geometric Structures: Advanced Modeling and Documentation

Covers advanced geometric modeling techniques and detailed documentation for assembly and animations.

Quadratic Forms: Definitions, Examples

Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.

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: Ellipse and Hyperbola

Explores properties of conic sections, center, equations, and coordinate transformations.

General Conics: Ellipse and Hyperbola

Explores general conics, emphasizing ellipses and hyperbolas, discussing passage matrix, cross product, and eigenvalues.

Central Forces and Conics

Delves into central forces, conic sections, and the law of areas, showcasing experiments and mathematical derivations.

Central Motion: Conic Sections and Kepler's Laws

Explores trajectory parameters, types, and Kepler's laws in central motion scenarios.

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.

Cônes and Cylinders: Tangents, Shadows, and Generators

Explores tangent planes, shadows, and intersections in 3D space, focusing on conic sections and practical applications.

Kepler's Laws: Elliptical Orbits

Explores Kepler's laws and the transition to elliptical orbits, emphasizing the mathematical construction and geometric properties of conic sections.

Ellipses in Mechanics

Explains ellipses in Cartesian and polar coordinates, focusing on geometric locus and trajectory parameters using mechanical energy and angular momentum constants.

Ellipses and Conics

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Conic Sections: Reduction and Symmetry

Explores the reduction and symmetry of conic sections, including canonical forms and transformation properties.

Conic Sections: Definitions and Equations

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.