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Related lectures (30)

Covers fundamental concepts of geometry, including geometric figures, symmetries, and regular polyhedra, emphasizing their practical applications.

Intrinsic Geometry of Regular Surfaces

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Steric Factors in Organic Chemistry

Explores diastereotopic epochs, vi-disconnections, steric factors, and the chelete effect in organic chemistry, along with the protection of alcohols and types of ethers.

Geometry: Instrument Epicycle Log in to Mediaspace to watch this video

Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.

Geometry: Course Overview & 5 Regular Polyhedra Log in to Mediaspace to watch this video

Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Geometry: Opening of the Course on February 25 Log in to Mediaspace to watch this video

Covers the synthesis of results from the first semester, focusing on flat curves, spatial curves, surfaces, and projections.

Surfaces in Geometry II Log in to Mediaspace to watch this video

Explores geometric surfaces, rules between shapes, and architectural applications.

Ellipses and Curves in Geometry Log in to Mediaspace to watch this video

Explores ellipses, curves, and their applications in astronomy and mathematics.

Calculus Applications: Lengths and Surfaces of Revolution Log in to Mediaspace to watch this video

Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.

Singularities of Curves in Geometry Log in to Mediaspace to watch this video

Explores singularities in curves, including inflection points and points of reversal, and discusses the evolution of torsion along curves.

Elliptical Arch Construction Log in to Mediaspace to watch this video

Explores the construction of elliptical arches using a single ellipse arc.

Dandelin Theorem: Ellipse Construction Log in to Mediaspace to watch this video

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Curvature and Osculating Circle Log in to Mediaspace to watch this video

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Geometry: Menaeus de Vitruve Log in to Mediaspace to watch this video

Explores conical and gnomonic curves, celestial representations, and solar paths through sketches and modeling tools.

Conics in the Plane: Uniform Description of 3 Conics Log in to Mediaspace to watch this video

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Vectors: Definitions and Operations Log in to Mediaspace to watch this video

Introduces vector definitions, displacement, addition, and applications in geometry.

Homotheties and Translations Log in to Mediaspace to watch this video

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Differentiability of Functions of Several Variables Log in to Mediaspace to watch this video

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Geometric Analysis: Singularities in Architectural Design Log in to Mediaspace to watch this video

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Concatenation of Arcs in Geometry Log in to Mediaspace to watch this video

Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.

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