Lectures related to Descriptive Geometry: Cones and Cylinders

Dandelin Theorem: Ellipse Construction

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

Conics in the Plane: Uniform Description of 3 Conics

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

Homogeneous Coordinates and Conics

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

Descriptive Geometry: Cones and Cylinders

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

Conic Sections: Ellipse, Parabola, Hyperbola

Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.

Conic Sections: Basics and Properties

Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.

Geometry of Hyperbolas and Ellipses

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

Analytical Geometry: Conic Sections

Covers the properties and equations of conic sections.

Hyperboloid Surfaces: Sections and Developability

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Homogeneous Coordinates: Ellipse and Hyperbola

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

Conic Sections: Definitions and Equations

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

Sphere, Cone, and Cylinder: Descriptive Geometry

Explores spheres, cones, and cylinders, including intersections, ruled surfaces, and conic sections with practical examples.

Conic Sections: Ellipse, Hyperbola, Parabola

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

Conic Sections: Ellipse and Hyperbola

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

Introduction to Conic Sections in Space

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

Descriptive Geometry: Cones and Cylinders

Covers the geometry of cones and cylinders, including sections of conics and Dandelin's theorem.

Conic Sections: Determining Parameters

Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.

General Conics and Homogeneous Coordinates

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

Analytic Geometry x Hyperbola: Ellipse and Affinity

Covers topics related to analytic geometry, hyperbolas, ellipses, and affinity.

Conic Sections: Planar Curves

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