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Lecture
Inversion & Orthogonal Circles
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Related lectures (22)
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Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Geometry II: Modern Geometric Transformations
Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.
Homotheties and Translations
Explores homotheties and translations in geometry, focusing on preserving alignment and distances.
Geometric Operations: Inversion & Orthogonal Circles
Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.
Geometric Transformations: Meanings and Applications
Explores geometric transformations, invariant properties, and mean relationships in modern geometry.
Introduction to Non-Euclidean Geometry
Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Symmetry in Modern Geometry
Delves into modern geometry, covering transformations, isometries, and symmetries.
Introduction to Euclidean Elements
Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.
Inversion and Circle Orthogonality
Explores the concept of inversion in geometry and its applications in constructing orthogonal circles.
