Geometry: Passage to Space

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Related lectures (25)

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Homotheties and Translations

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

Surfaces in Geometry

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.

Geometry: Instrument Epicycle

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

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Geometry: Opening of the Course on February 25

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

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Geometry: Menaeus de Vitruve

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

Geometry of Hyperbolas and Ellipses

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

Conical Sections: Apollonius

Explores conical sections according to Apollonius, focusing on visual cones and unique shapes.