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Lecture
Euclidean Geometry: Operations and Constructions
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Related lectures (21)
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Elementary Operations in Geometry
Explores the transition from ancient geometry to modern algebraic operations in Euclidean geometry.
Geometric Proportions: Euclidean Elements
Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.
Geometry II: Modern Geometric Transformations
Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.
Mediatrix and Bisector
Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
Inversion & Orthogonal Circles
Explores the concept of inversion relative to a circle and its applications in constructing orthogonal circles.
Quadrature & Trisection: Geometric Operations Beyond Euclidean Elements
Explores non-constructible geometric figures like Quadrature & Trisection beyond Euclidean elements.
Homotheties and Translations
Explores homotheties and translations in geometry, focusing on preserving alignment and distances.
Non-Constructible Figures: Quadrature & Trisection
Explores non-constructible figures, focusing on quadrature and trisection problems.
Regular Polyhedra in Euclidean Geometry
Explores the historical background and properties of regular polyhedra in Euclidean geometry, including the construction of perfect even numbers and the proportionality of arcs and angles.
Geometric Transformations: Meanings and Applications
Explores geometric transformations, invariant properties, and mean relationships in modern geometry.
