Öklid 5. Kitap, 5. Tanım
- Theory of Ratios in Euclid’s Elements Book V revisited, Salomon Ofman
- The book V of Euclid’s Element contains the most celebrated theory of ancient Greek mathematics, a general theory of ratios. There is a huge literature about its definition 5 and it has been intensively studied till nowadays by historians of mathematics. In mathematics, it is not so common for a definition, not a theorem, to be at the foundation of a global theory which, according to some mathematicians, almost contains Dedekind’s construction of real numbers written more than 2000 years afterward. But there is a pitfall, the difficulty to understand and explain the three lines of its statement.
- The book V of Euclid’s Element contains the most celebrated theory of ancient Greek mathematics, a general theory of ratios. There is a huge literature about its definition 5 and it has been intensively studied till nowadays by historians of mathematics. In mathematics, it is not so common for a definition, not a theorem, to be at the foundation of a global theory which, according to some mathematicians, almost contains Dedekind’s construction of real numbers written more than 2000 years afterward. But there is a pitfall, the difficulty to understand and explain the three lines of its statement.
- Modern interpretation of Euclid's theory of ratio and proportion, Mark Robert Stecher, 2005
- Some interesting analysis but ugly modern notation makes it hard to understand
- Some interesting analysis but ugly modern notation makes it hard to understand
- Guide to Book 5, Clarke.edu