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Lecture
Introduction to Euclidean Elements
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Related lectures (21)
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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.
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Explores geometric transformations, invariant properties, and mean relationships in modern geometry.
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Explores the Inaugural Proposition of Euclid's Elements and practical exercises using TopSolid software.
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Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Introduction to Euclidean Elements
Introduces Euclidean Elements, discussing logical structure, types of propositions, definitions, common notions, and postulates.
Geometry II: Modern Geometric Transformations
Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.
Geometry: Introduction to Euclidean Elements
Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.
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Introduces the fundamentals of Euclidean geometry, covering equilateral triangles, symmetries, radical axes, and ancient architectural figures.
Axioms of Connection
Introduces the axioms of connection in Euclidean geometry, emphasizing unique lines and non-collinear points.
Non-Constructible Figures: Quadrature & Trisection
Explores non-constructible figures, focusing on quadrature and trisection problems.