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Libri Libri 1 - 2 di 2 su And this he proved by showing that the squares on the diameters have the same ratios....
" And this he proved by showing that the squares on the diameters have the same ratios as the... "
Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King - Pagina 358
di Carl Huffman - 2005
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Method in Ancient Philosophy

Jyl Gentzler - 2001 - 398 pagine
...ultimate primary premisses or axioms. Rather, they took as their starting-point iarchel the proposition that similar segments of circles have the same ratios as the squares on their bases. That proposition, so far from being primary, was one that Hippocrates showed. so we are told {Simplicius....
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Magic, Reason, and Experience: Studies in the Origins and Development of ...

Geoffrey Ernest Richard Lloyd, G. E. R. Lloyd - 1999 - 335 pagine
...Hippocrates' quadrature of lunes Eudemus says that Hippocrates took as his starting-point (ocpxr|) the theorem that 'similar segments of circles have the same ratios as the squares on their bases', though he goes on to add that Hippocrates proved this by showing that the squares on the diameters...
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