Definition:Euclid's Definitions - Book V/4 - Existence of Ratio
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Definition
In the words of Euclid:
- Magnitudes are said to have a ratio to one another which are capable, when multiplied, of exceeding one another.
(The Elements: Book $\text{V}$: Definition $4$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{V}$. Definitions