Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.
Introduces the concept of Division in Extreme and Mean Ratio (DEMR) and its historical significance in geometry.
Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.
Explores harmonic ratio in geometry, covering bisectors, harmonic segments, polyhedra, spatial curves, and historical perspectives.
Explores the constructibility of regular polygons, Fermat numbers, historical conjectures, and the compass's fundamental role in geometric constructions.
