Kaynaklar
Archimedes
Öklid, Elemanlar
- Euclid's Elements (clark.edu)
- Euclid's Elements of Geometry with Greek text, Richard Fitzpatrick
- Theory of Ratios in Euclid’s Elements Book V revisited, Salomon OFMAN, 2014
- For instance, even the mathematician D. Fowler who worked many years on this question had to admit that, even for mathematicians, the ‘Definition 5 (…) as a description, is almost impenetrable (…) though its latent power and scope are enormous.’
- Al Khayyam wrote a complete book critical of Euclid’s Elements, especially of the definition V.5
- For instance, even the mathematician D. Fowler who worked many years on this question had to admit that, even for mathematicians, the ‘Definition 5 (…) as a description, is almost impenetrable (…) though its latent power and scope are enormous.’
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
- Norman Wildberger (Mathematician)