Euclid:Proposition/XI/37

Proposition

In the words of Euclid:

If four straight lines be proportional, the parallelepipedal solids on them which are similar and similarly described will also be proportional; and if the parallelepipedal solids on them which are similar and similarly described be proportional, the straight lines will themselves also be proportional.

(The Elements: Book $\text{XI}$: )


Sources

  • 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{XI}$. Propositions
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