Lectures related to Cônes and Cylinders: Tangents, Shadows, and Generators

Explores intersections between lines and planes, parallel planes, and relative positions of lines and planes.

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

Explains the intersection of a line and a plane using auxiliary planes and projectants.

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Covers defining a plane by its traces and determining its properties.

Explores proper shadows, cast shadows, section planes, and conic sections.

Explores perpendicular lines and planes in descriptive geometry, focusing on orthogonality and intersection points.

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

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

Covers perpendicular planes, plane traces, and shadows in descriptive geometry.

Explores finding the equation of the tangent line to a function's graph at a point.

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

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

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

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

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

Explores slope lines, principal lines, and their geometric relationships in descriptive geometry.

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

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

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