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Lecture
Geometry: Introduction
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Related lectures (50)
Geometry: Introduction to Architectural Geometry
Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.
Geometry: Introduction to Euclidean Elements
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Geometric Transformations: Meanings and Applications
Explores geometric transformations, invariant properties, and mean relationships in modern geometry.
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Introduction to Euclidean Elements
Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.
Angle at the Center & Power of a Point
Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.
Geometry I: Euclidean Propositions & Symmetry
Explores Euclidean propositions, symmetry evolution, and geometric constructions in architecture.
Geometry: Euclidean Elements & Vitruvius
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Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Concatenation of Arcs in Geometry
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Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.
Geometry and Meshing
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Covers the basics of geometry modeling and meshing for numerical flow simulation, including mesh quality metrics and different meshing algorithms.
Elliptical Arch Construction
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Explores the construction of elliptical arches using a single ellipse arc.
Orthogonal Projections: Symmetry and Matrices
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Explores orthogonal projections, symmetry of matrices, and their applications.
Vectors: Definitions and Operations
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Introduces vector definitions, displacement, addition, and applications in geometry.
Homotheties and Translations
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Explores homotheties and translations in geometry, focusing on preserving alignment and distances.
IMesh and iConc Tutorial
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Covers the tutorial for iMesh and iConc, focusing on creating Finite Element Mesh for concrete structures.
Geometry: Menaeus de Vitruve
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Explores conical and gnomonic curves, celestial representations, and solar paths through sketches and modeling tools.
Geometry: Instrument Epicycle
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Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.
Geometry II: Modern Geometric Transformations
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Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.
Analytical Geometry: Cartesian Equations
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Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.
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