Definition:Euclid's Definitions - Book V/9 - Duplicate Ratio
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Definition
In the words of Euclid:
- When three magnitudes are proportional, the first is said to have to the third the duplicate ratio of that which it has to the second.
(The Elements: Book $\text{V}$: Definition $9$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{V}$. Definitions