Lectures related to Orthogonal Projection on Straight Line

Explores orthogonal projections, symmetry of matrices, and their applications.

Explores the symmetry of vectors with respect to a line in Analytical Geometry.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

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

Explores Analytical Geometry, emphasizing reflection and symmetry in matrices and planes.

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

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

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

Explores reflections and translations in geometric transformations, demonstrating their stability and practical applications.

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Covers the geometric properties of the dot product and its algebraic aspects.

Explores glide reflection in analytical geometry, emphasizing fixed points and reflection matrices.

Introduces a new online format for the geometry course, emphasizing the study of isometries and the modern interpretation of symmetry.

Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.

Explores the evolution of projective geometry and its applications in architectural representation.

Covers the geometric description of orthogonal projections and reflections in 2D, focusing on transformations and their properties.

Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.

Explores the concept of symmetry in various geometric transformations.