Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.
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.
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Explores Fubini's theorem in multiple dimensions, demonstrating integration over rectangles and closed unit balls with practical examples.
Explores the Thales Theorem, stating equal ratios of segments in triangles.
Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.
