Geometric Transformations: Projective Geometry Fundamentals

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

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

Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

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

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Introduces the basics of geometry projections, including isometric and modern perspectives, and their historical context.

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.