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Lecture
Introduction to Geometry
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Related lectures (49)
Regular Polyhedra: Symmetries & Generation
Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.
Power of a Point in Geometry
Explores the power of a point outside a circle and its practical applications.
Symmetry in Geometry
Emphasizes the importance of maintaining a dedicated time for geometry in the weekly schedule.
Geometry: Introduction to Architectural Geometry
Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.
Symmetries in Space
Introduces the fundamentals of geometry and explores symmetries in space.
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.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.
Symmetry in Geometry
Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
Harmonic Ratio in Geometry
Explores harmonic ratio in geometry, covering bisectors, harmonic segments, polyhedra, spatial curves, and historical perspectives.
Circle Orthogonal & Poincaré Disk
Covers circle orthogonal and Poincaré disk concepts in geometry.
Geometry: Course Overview & 5 Regular Polyhedra
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Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.
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.
Ellipses and Curves in Geometry
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Explores ellipses, curves, and their applications in astronomy and mathematics.
Geometry: Opening of the Course on February 25
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Covers the synthesis of results from the first semester, focusing on flat curves, spatial curves, surfaces, and projections.
Curves in Space
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Explores approximating curves in space and preparing for an upcoming exam.
Singularities of Curves in Geometry
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Explores singularities in curves, including inflection points and points of reversal, and discusses the evolution of torsion along curves.
Orthogonal Projections: Symmetry and Matrices
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Explores orthogonal projections, symmetry of matrices, and their applications.
Symmetry & Boundary Conditions
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Explores symmetry and boundary conditions in finite element models, emphasizing the importance of maintaining symmetry for accurate modeling.
Surfaces in Geometry II
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Explores geometric surfaces, rules between shapes, and architectural applications.
Surfaces in Geometry
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Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
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