Euclid:Proposition/IX/17

Proposition

In the words of Euclid:

If there be as many numbers as we please in continued proportion, and the extremes of them be prime to one another, the last will not be to any other number as the first is to the second.

(The Elements: Book $\text{IX}$: Proposition $17$)

Sources

• 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{IX}$. Propositions