Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Explores the Thales Theorem, stating equal ratios of segments in triangles.
Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.
