The course aims to deepen and to put in perspective, also from the historical-cultural point of view, theories and techniques of geometry which have a central role in the academic program of secondary schools.
scheda docente
materiale didattico
2- Euclid' s Elements: Book 1
3- The history of Fifth Postulate
4- The solution to some classical problems and hyperbolic geometry
5- Isometries of the plane and symmetry groups
R. Hartshorne: "Euclid and beyond" ed Springer
Programma
1- Greek geometry; constructions with ruler and compass. The classical problems2- Euclid' s Elements: Book 1
3- The history of Fifth Postulate
4- The solution to some classical problems and hyperbolic geometry
5- Isometries of the plane and symmetry groups
Testi Adottati
R. Trudeau: "La rivoluzione non euclidea" ed BoringhieriR. Hartshorne: "Euclid and beyond" ed Springer
Modalità Frequenza
encouragedModalità Valutazione
There will be either two written tests during the course, or a unique one, about the arguments of the course