Lectures related to Geometric Operations and Historical Perspectives

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Elliptical Arch Construction

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

Elementary Operations in Geometry

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Relative Positions in Space

Covers the precise description of the relative positioning of objects in space.

Euclidean Geometry: Operations and Constructions

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Homotheties and Translations

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

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.

Conics in the Plane: Uniform Description of 3 Conics

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

Vectors: Definitions and Operations

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

Geometric Transformations: Meanings and Applications

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

Capacitor and Self-Heating in a Wire

Covers the simulation of a capacitor and self-heating in a wire using Comsol.

Geometry: Instrument Epicycle

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

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Power of a Point in Geometry

Explains measuring angles in trigonometric direction and determining angles at line intersections.

Geometry: Menaeus de Vitruve

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

Elementary Operations in Geometry

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

Geometry: Introduction to Architectural Geometry

Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.

Geometry: Inaugural Proposition

Explores the Inaugural Proposition of Euclid's Elements and practical exercises using TopSolid software.

The Universe: Describing Size, Mass-Energy, Geometry, and Evolution

Explores the Universe's size, mass-energy, geometry, and evolution, including redshift effects and accelerating expansion.