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Lecture
Introduction to Euclidean Geometry
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Related lectures (20)
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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.
Introduction to Euclidean Elements
Introduces Euclidean Elements, discussing logical structure, types of propositions, definitions, common notions, and postulates.
Geometric Transformations: Meanings and Applications
Explores geometric transformations, invariant properties, and mean relationships in modern geometry.
Euclidean Geometry Fundamentals
Introduces the fundamentals of Euclidean geometry, covering equilateral triangles, symmetries, radical axes, and ancient architectural figures.
Embedding Space: AdS and Euclidean Geometry
Covers the concept of embedding space for AdS and Euclidean geometry, discussing AdS isometries and Euclidean Ads.
Axioms of Connection
Introduces the axioms of connection in Euclidean geometry, emphasizing unique lines and non-collinear points.
Inversion and Circle Orthogonality
Explores the concept of inversion in geometry and its applications in constructing orthogonal circles.
Elementary Operations in Geometry
Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Geometry: Introduction to Euclidean Elements
Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.
Homotheties and Translations
Explores homotheties and translations in geometry, focusing on preserving alignment and distances.
