Course

MATH-124: Geometry for architects I

Lectures in this course (112)

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

Introduction to Euclidean Elements

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Power of a Point in Geometry

Explores the power of a point outside a circle and its practical applications.

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Introduction to Euclidean Elements

Introduces Euclidean Elements, discussing logical structure, types of propositions, definitions, common notions, and postulates.

Introduction to Euclidean Geometry

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

Geometry: Inaugural Proposition

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

Geometry: Introduction

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

Euclidean Geometry: Operations and Constructions

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

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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: Inaugural Proposition

Explores the common inaugural proposition of Euclid and Vitruvius, focusing on commensurability and geometric figure construction.

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Geometry: Introduction to Euclidean Elements

Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.

Elementary Operations in Geometry

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

Geometry: Euclidean Propositions and Architectural Foundations

Explores Euclid's first proposition and its architectural implications, emphasizing the enduring relevance of classical geometric principles in contemporary architectural practice.

Angle at the Center & Power of a Point

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

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Elementary Operations in Geometry

Explores the transition from ancient geometry to modern algebraic operations in Euclidean 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.