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PROPOSITION 8 If between two numbers there fall numbers in continued proportion with them, then, however many numbers fall between them in continued proportion, so many will also fall in continued proportion between the numbers which have the same ratio...
Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King - Pagina 465
di Carl Huffman - 2005
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## Books 3-9

...PROPOSITION 9. If two numbers be prime to one another, and numbers fall between them in continued proportion, then, however many numbers fall between them in continued proportion, so many will also fall bet.ween each of them and an unit in continued proportion. Let A, B be two numbers prime to one another,...
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## The Thirteen Books of Euclid's Elements

Euclid
...PROPOSITION 9. If two numbers be prime to one another, and numbers fall between them in continued proportion, then, however many numbers fall between them in continued proportion, so many will also fall between each of them and an unit in continued proportion. Let A, B be two numbers prime to one another,...
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