Lectures related to Geometric Descriptive: Exercises Discussion and Perpendicularity

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

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

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

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

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

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

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

Covers the Monge method for spatial geometry and its applications in creating precise sketches and 2D/3D manipulations.

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

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

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

Explores lines of slope in descriptive geometry, analyzing their properties and relationships within a plane through sketches and examples.

Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.

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

Explains the Theorem of Three Perpendiculars and shadow casting of points on planes.

Covers the concept of the line in descriptive geometry, focusing on epure and traces.

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

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

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

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.