Lectures related to Projections de Monge: Method and Applications

Explores spatial geometry problem-solving using Monge representation and projections.

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

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

Covers exercises and perpendicularity in geometric descriptive concepts, emphasizing in-person attendance and practical applications.

Introduces Descriptive Geometry concepts, including conservation laws and projection methods.

Covers topics such as parallel projection, Monge's method, true sizes, intersections, shadows, and perspectives.

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

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

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Covers geometric projections using Monge's method, focusing on representing three-dimensional points through their orthogonal projections.

Explores orthogonal projection on straight lines in analytic geometry, focusing on projection matrices and symmetrical properties.

Covers the concept of parameterized surfaces in 3D space with examples like cylinders and spheres.

Explores orthogonal complement and projection theorems in vector spaces.

Introduces mechanical design principles, focusing on technical drawing and projection methods essential for accurate representation in engineering.

Explores descriptive geometry principles, including points, lines, planes, and applications to shadow problems using software like GeoGebra.

Covers the school product and geometric properties of vectors in space.

Covers the concept of orthogonal projection and its applications in vector analysis.

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