La geometria dei problemi

In the fifth century BC, geometry imposes itself on other mathematics for its ability to treat the relationship between incommensurable magnitudes. It is not yet the geometry of Euclid, which is organized according to the axiomatic-deductive model: it rather investigates each time the conditions under which it is possible to solve a given problem or demonstrate a certain proposition, reducing them to a problem already solved or a proposition already proved, or easier to study.