Projections de Monge: Method and Applications

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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.