Pythagorean TheoremIntroduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Mediatrix and BisectorExplores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
Thales TheoremExplores the Thales Theorem, stating equal ratios of segments in triangles.
Distance AxiomsCovers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Local Homeomorphisms and CoveringsCovers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.