Definition:Euclid's Definitions - Book V/10 - Triplicate Ratio
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Definition
In the words of Euclid:
- When four magnitudes are $<$ continuously $>$ proportional, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on continually, whatever be the proportion.
(The Elements: Book $\text{V}$: Definition $10$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 2 (2nd ed.) ... (previous) ... (next): Book $\text{V}$. Definitions