Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Introduces vectors in a solid reference frame and explains the importance of determinants in interpreting vector products and coordinate changes.
Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
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 coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
