Lectures related to Geometry: Inaugural Proposition

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

Geometry I: Euclidean Propositions & Symmetry

Explores Euclidean propositions, symmetry evolution, and geometric constructions in architecture.

Explores the historical and mathematical significance of duplicating the cube and its geometric implications in ancient times.

Introduction to Euclidean Elements

Introduces the fundamental concepts of Euclidean geometry, focusing on the Elements of Euclid and the logical structure of geometric propositions.

Geometry: Introduction to Architectural Geometry

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

Geometry: Introduction

Introduces the course on geometry for architects, emphasizing historical links between architecture, geometry, and contemporary design.

Triangle Inequality Theorem

Covers the Triangle Inequality Theorem in triangles, showing side length relationships.

Elementary Operations in Geometry

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

Introduction to Non-Euclidean Geometry

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Geometric Transformations: Meanings and Applications

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

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.

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.

Introduction to Euclidean Elements

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Smooth Manifolds: Setup MOOC: Introduction to optimization on smooth manifolds: first order methods

Introduces smooth manifolds, emphasizing the importance of submanifolds of linear spaces.

Vault Intersections

Explores the geometry and types of vault intersections, showcasing historical examples and the generation of vaults, including the architectural marvel of King's College Chapel.

Duplication of the Cube

Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Geometry: Euclidean Elements & Vitruvius Log in to Mediaspace to watch this video

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

Conic Sections: Equivalence and Intersection Log in to Mediaspace to watch this video

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Elliptical Arch Construction Log in to Mediaspace to watch this video

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

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.