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.
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.
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
