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Lecture
Geometric Transformations: Meanings and Applications
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Related lectures (24)
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Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Symmetry in Geometry
Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
Geometric Projections: Understanding Monge's Method
Covers geometric projections using Monge's method, focusing on representing three-dimensional points through their orthogonal projections.
Elliptical Arch Construction
Explores the construction of elliptical arches using a single ellipse arc.
Geometry: Introduction to Euclidean Elements
Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.
Non-Euclidean Geometries
Explores non-Euclidean geometries, including hyperbolic geometry and the tractricoid model, challenging Euclidean principles and introducing projective geometry.
Geometric Surfaces: Paraboloids and Hyperboloids in Architecture
Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.
Introduction to Non-Euclidean Geometry
Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.
Translations and Homotheties
Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.
Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
