Lectures related to Intersections in Descriptive Geometry

Intersections and Parallel Planes in Descriptive Geometry

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

Intersection of Line and Plane: Geometric Descriptive

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

Perpendicular Lines and Planes

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

Analytical Geometry: Mixed Product and Determinant

Covers the analytical expression of the mixed product and its applications.

Intersection of a Line and a Plane

Covers the general case of finding the intersection point between a line and a plane in descriptive geometry.

Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Planes Intersection and Parallelism

Covers the intersection of planes and the construction of the intersection line between two planes.

Relative Positions in Space

Covers the precise description of the relative positioning of objects in space.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Descriptive Geometry: Concepts and Exercises

Covers fundamental concepts and exercises in Descriptive Geometry, focusing on spatial problem-solving techniques and relative line positions.

Geometric Surfaces: Paraboloid and Hyperboloid Concepts

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Orthogonality and Perpendicularity in Descriptive Geometry

Explores orthogonality between lines and planes, focusing on conserving right angles and constructing perpendicular planes in 3D space.

Main Lines of a Plane: Sketch and Properties

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

Analytical Geometry: Relative Positions in Space

Explores relative positions of lines in space, discussing parallel, secant, and confused lines.

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.

Intersection of a Line and an Opaque Plate, Parallel Line to a Plane

Explores the intersection of a line and an opaque plate using GeoGebra.

Perspective in Descriptive Geometry

Explores the method of vanishing points in Monge's representation and the perspective images of lines.

Descriptive Geometry: The Sphere

Explores descriptive geometry concepts related to spheres, including sectioning by planes and intersection with lines.

Configurations of 3 Plans in Space

Explores the configurations of 3 plans in space and the decomposition of isometries.

Geometric Descriptive: Projection of a Square in a Defined Plane

Covers the construction of projections of a square in a defined plane.