# Euclid:Proposition/IX/8

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## Proposition

In the words of Euclid:

*If as many numbers as we please beginning from an unit be in continued proportion, the third from the unit will be square, as will those which successively leave out one; the fourth will be cube, as will also all those which leave out two; and the seventh will be at once cube and square, as will also those which leave out five.*

(*The Elements*: Book $\text{IX}$: Proposition $8$)

## Sources

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