Lectures related to Orthodiagonal quadrilateral

Lines of Slope: Descriptive Geometry

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

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Geometric Descriptive: Exercises Discussion and Perpendicularity

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

Orthogonality and Perpendicularity in Descriptive Geometry

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

Vectors: Fundamentals

Covers the basic concepts related to vectors, including their definition, operations, and properties, as well as applications through examples and the Varignon's theorem.

Monge Method: Spatial Geometry Problems and Monge Projections

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

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Linear Dependence of Vectors

Explores linear dependence of vectors, demonstrating examples and conditions for collinearity.

Analytical Study of Space

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

Projective Geometry: Fundamentals and Applications

Explores the fundamentals of projective geometry and its practical applications in solving geometric problems.

Projection Planes: Traces and Angles

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

Elementary Operations in Geometry

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

True Sizes: Plan Projection Folding, Descriptive Geometry

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

Structural Mechanics: Systems of Forces

Covers systems of forces, moments, couples, and stress in 2D and 3D, as well as the effect of force-couple systems.

Geometric Descriptive: Shadows and Perspective

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

Curvature and Osculating Circle

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

Elementary Operations in Geometry

Explores exterior angles in triangles, inscribed angles in circles, and a point's power relative to a circle.

Distance Between Two Lines

Covers the concept of finding the distance between two lines in a plane.

Cinématique: Vecteur Rotation

Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Optimization Problems

Explores optimization problems to find global extrema of functions over domains.