Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.
Covers the definition and characterization of isosceles triangles and how to recognize them.
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Explores the constructibility of regular polygons, Fermat numbers, historical conjectures, and the compass's fundamental role in geometric constructions.
