Lectures related to Coordinates in R3

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Covers the limitations of Lagrange formalism and the transition to Hamiltonian formalism for dynamic variables.

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Covers translations, homotheties, and their geometric properties, including reversibility and composition.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Covers the analytical expression of rotations in different coordinate systems.

Covers the basics of kinematics, including joint coordinates, operational variables, wrist configurations, and geometric models.

Explores rotation in analytical geometry, including center coordinates and fixed points.

Covers the concept of 2D rotations and their analytical expressions.

Explores the reduction and symmetry of conic sections, including canonical forms and transformation properties.

Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.

Explores the challenges of 3D space, focusing on transforming dihedra configurations from convex to concave.

Explores advanced 2.5D and 3D graphics in Matlab/Octave, covering color mapping techniques and perspective transformations.

Introduces tools for manipulating and analyzing 3D point clouds using CloudCompare software.

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

Introduces isometries as transformations preserving distances in the plane, focusing on symmetry and geometric relationships.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.