Analytical Study of Space

Related lectures (29)

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Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Covers the analytical study of the plan, focusing on points and lines.

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

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

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

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

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.