Inversion and Circle Orthogonality

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

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

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

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

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

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

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

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

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

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.