Analytical Geometry: Conic Sections

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Conic Sections: Planar Curves

Explores conic sections, such as ellipses, hyperbolas, and parabolas, focusing on their geometric and algebraic properties and practical applications.

Dandelin Theorem: Ellipse Construction

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

General Conics and Motor Blocks

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

General Conics: Symmetry and Elimination

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

Conic Sections: Ellipse, Hyperbola, Parabola

Explores properties and equations of conic sections like ellipse, hyperbola, and parabola.

General Conics: Ellipse and Hyperbola

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

Descriptive Geometry: Cones and Cylinders

Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.

Introduction to Conic Sections in Space

Covers the introduction to conic sections in space, focusing on ellipses and their properties.

Ellipses and Conics

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

Descriptive Geometry: Cones and Cylinders

Explores points at infinity, conic sections, asymptotes, and tangents in circular cones.