Lectures related to Straightedge and compass construction

Geometric Operations: Inversion & Orthogonal Circles

Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.

Euclidean Geometry: Operations and Constructions

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

Quadrature & Trisection in Geometry

Explores the historical methods of quadrature and trisection in geometry, including their applications in architecture.

Quadrature & Trisection: Geometric Constructions

Explores the historical and mathematical aspects of quadrature and trisection in geometry, including the challenges faced by ancient mathematicians.

Non-Constructible Figures: Quadrature & Trisection

Explores non-constructible figures, focusing on quadrature and trisection problems.

Quadrature & Rectification

Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.

Quadrature & Trisection: Geometric Operations Beyond Euclidean Elements

Explores non-constructible geometric figures like Quadrature & Trisection beyond Euclidean elements.

Harmonic Mean: Geometric Projective Geometry

Explores the harmonic mean in visual arts and projective geometry, discussing historical context and invariance properties.

Quadrature & Trisection: Geometric Constructions

Explores the challenges of geometric constructions using ruler and compass.

Geometric Means: Simple, Double, and Harmonic

Explores the construction and mathematical properties of simple, double, and harmonic geometric means using ruler and compass.

Constructibility of Regular Polygons

Explores the constructibility of regular polygons, Fermat numbers, historical conjectures, and the compass's fundamental role in geometric constructions.

Geometry: Euclidean Elements & Vitruvius

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

Geometry II: Modern Geometric Transformations

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

Geometric Constructions: Duplication of the Cube

Explores the historical significance and geometric methods for duplicating the cube.

Intersections in Descriptive Geometry

Covers the basics of intersections in descriptive geometry, including the intersection of planes and coplanar lines.

LIMITATION 1 CÔTÉ: DIÈDRES

Explores 'LIMITATION 1 CÔTÉ' and 'DIÈDRES' in stereotomy using TopSolid 7 software.

Dirichlet Problem on the Ball

Covers the Dirichlet problem on the ball and the solution to the Dirichlet problem on the half plane.

Elliptical Geometry: Arcs and Conic Sections

Explores elliptical geometry, focusing on arcs, conic sections, and historical contributions to geometric projective techniques.

Inversion & Orthogonal Circles

Explores the concept of inversion relative to a circle and its applications in constructing orthogonal circles.

Introduction to Euclidean Elements

Introduces the fundamental concepts of Euclidean geometry and the Elements of Euclid, exploring historical background, key propositions, and postulates.