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Lecture
Introduction to Euclidean Elements
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Related lectures (21)
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Hyperbolic Geometry
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Geometric Proportions: Euclidean Elements
Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.
Geometric Surfaces: Paraboloid and Hyperboloid Concepts
Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.
Geometry: Introduction to Architectural Geometry
Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Introduction to Euclidean Elements
Introduces the fundamental concepts of Euclidean geometry, focusing on the Elements of Euclid and the logical structure of geometric propositions.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
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.
Surfaces in Geometry
Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
