Lectures related to Geometric Descriptive: Projection of a Square in a Defined Plane

Projection Planes: Traces and Angles

Explores projection planes, angles, and traces in geometric descriptive, emphasizing perpendicularity and parallelism in planes.

Intersection of Line and Plane: Geometric Descriptive

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

Geometric Descriptive: Straight Lines and Line Projections

Explores straight lines, line purity, and line projections in geometric descriptive.

Perpendicular Lines and Planes

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

Geometric Descriptive: Shadows and Perspective

Explores the basics of Geometric Descriptive, emphasizing shadows and perspective in 2D and 3D.

True Magnitude of Segments: Ellipses and Affinities

Explores the construction of ellipses and affinities to determine true sizes of segments in descriptive geometry.

Affinity and Ellipses in Descriptive Geometry

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

Descriptive Geometry: The Sphere

Explores the properties and sections of a sphere, including symmetry, tangent planes, and circle projections.

Geometric Traces and Projections: Planes and Lines

Introduces geometric traces and projections, defining planes and lines through their projections and exploring the relative positions of lines in space.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Relative Positions in Space

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

Angle at the Center & Power of a Point

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Analytical Study of Space

Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

Geometric Transformations: Projective Geometry Fundamentals

Covers the fundamentals of projective geometry and its applications in architecture.

Orthogonal Projections: Rectors and Norms

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.

Relative Positions: Examples

Presents examples of relative positions in space and solving problems with parametric equations.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

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

Shadows in Descriptive Geometry

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

Regular Polyhedra in Euclidean Geometry

Explores the historical background and properties of regular polyhedra in Euclidean geometry, including the construction of perfect even numbers and the proportionality of arcs and angles.