Analytic Geometry x Hyperbola: Ellipse and Affinity

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Descriptive Geometry: Ellipse Projections

Explores ellipse projections, discussing properties, construction methods, and practical examples.

Homogeneous Coordinates and Conics

Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.

Homogeneous Coordinates and Curves

Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.

General Conics and Homogeneous Coordinates

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Intersection Numbers: Algebraic Counting Solutions

Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.

Geometry and Complex Numbers: Circles in the Complex Plane

Explores equations and properties of circles in the complex plane.

Affinity and Ellipses in Descriptive Geometry

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Conic Sections: Ellipse and Hyperbola

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

Curves and Surfaces

Covers the representation of plane curves and the nature of obtained curves.

General Conics: Symmetry and Elimination

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