Lectures in course MATH-126: Geometry for architects II

Exam Preparation: Instructions and Advice

Discusses exam instructions, technical requirements, and the importance of thorough preparation.

Epicyclic Curves: Modeling Instruments for Plane Curves

Explores modeling instruments for generating plane epicyclic curves, including circles and ellipses, and their spatial counterparts.

Curves in Space

Explores approximating curves in space and preparing for an upcoming exam.

Geometric Shapes and Curves

Explores geometric shapes, tangential arcs, and elliptical structures using TopSolid 7 software.

Projective Geometry: Birth and Foundations

Explores the birth and foundations of projective geometry, including the vanishing point invention and stereotomy.

Elliptical Geometry: Arcs and Conic Sections

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

Epicyclic Curves in Astronomy

Explores epicyclic curves in astronomy, from ancient Greeks to Kepler, discussing Ptolemy's Almagest and Copernicus' heliocentric system.

Geometry: Opening Lecture 15.04.2021 (live)

Covers the importance of digital tools and the study of different geometries.

Construction of Ovals: From Roman Amphitheatres to Modern Architecture

Explores the historical construction methods of ovals, from Roman amphitheatres to modern architecture, including the use of symmetrical double tangency.

Ancient Astronomical Models: Spheres to Ellipses

Explores the transition from ancient spherical models to Kepler's ellipses in astronomy.

Projective Geometry: Anharmonic Cross Ratio and Conics

Explores anharmonic cross ratio, projective geometry birth, and practical applications.

Elliptical Curves and Surfaces

Explores elliptical curves, surfaces, and spatial constructions, emphasizing resolution techniques and parallelism.

Ellipses in Astronomy and Mathematics: Key Concepts

Covers the properties and applications of ellipses in astronomy and mathematics, including Kepler's laws and practical construction methods.

Geometry: Surfaces and Architectural History

Explores surfaces in geometry, historical architecture, and a flipped teaching approach.

Gnomonics: Understanding Shadows and Time Measurement

Explores gnomonics, shadow measurement for time, sundials, and celestial spheres.

Curves in Space: Singularities and Developments

Covers curves in space, including singularities, Frenet frame, and development curves.

Geometric Properties of Ellipses and Their Applications

Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.

Kepler's Laws: Elliptical Orbits

Explores Kepler's laws and the transition to elliptical orbits, emphasizing the mathematical construction and geometric properties of conic sections.

Spatial Curves: Intersections and Singularities

Explores spatial curves, focusing on intersections and singularities in architectural contexts.

Geometric Properties of Conics: Ellipses and Their Applications

Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.