Analytical Geometry: Midpoint, Equations, Projections

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

Covers the concept of trigonometric functions and their applications in geometry.

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

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

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

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

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 the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Covers the concept of perspective in geometry and the radial method of creating images using central projection.

Explores the locus of points in a square and angles between them.

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

Explains the geometric definition of planes in space and how to determine their equations.

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

Covers Chapter 8 on Analytical Geometry in Space, focusing on coordinate systems and equations of lines.

Explores Cartesian equations of planes in space and their applications to metric problems.

Covers obtaining Cartesian equations of planes and relative positions of two planes in space.

Explores slope lines, principal lines, and their geometric relationships in descriptive geometry.

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

Explores relative positions of lines in space, discussing parallel, secant, and confused lines.

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