Lectures related to Geometric Projections: Historical Perspectives and Applications

Historical Overview of Perspective Techniques in Geometry

Explores the evolution of perspective techniques from Antiquity to the Renaissance, highlighting key figures and their contributions to geometry and representation.

Geometric Transformations: Projective Geometry Fundamentals

Covers the fundamentals of projective geometry and its applications in architecture.

Geometric Transformations: Meanings and Applications

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

Geometry II: Modern Geometric Transformations

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

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Geometric Projections: Understanding Monge's Method

Covers geometric projections using Monge's method, focusing on representing three-dimensional points through their orthogonal projections.

Historical Overview: Antiquity & Renaissance

Explores the evolution of representation techniques from Antiquity to the Renaissance, analyzing different perspectives on projection and perspective.

Symmetry in Geometry

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Projection Orthogonale: Properties and Methods

Explores the properties of orthogonal projection and the Monge method for projecting points in space.

Introduction to Projections

Introduces the basics of geometry projections, including isometric and modern perspectives, and their historical context.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

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

Perspective: Radial Method

Covers the concept of perspective in geometry and the radial method of creating images using central projection.

Geometry: Introduction to Architectural Geometry

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

Affinity and Ellipses in Descriptive Geometry

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Geometric Projections: Orthogonal and Monge Projections

Covers orthogonal and Monge projections in descriptive geometry, focusing on geometric properties and visualization techniques.

Historical Overview of Perspective in Art

Explores the historical evolution of perspective in art, from ancient times to the Renaissance.

Introduction to Descriptive Geometry: Course Overview and Applications

Introduces the Descriptive Geometry course, emphasizing visualization techniques and their applications in solving spatial problems.

Geometric Analysis: Singularities in Architectural Design

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

Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Geometry: Modern Interpretation of Symmetry

Introduces a new online format for the geometry course, emphasizing the study of isometries and the modern interpretation of symmetry.