Euclid:Proposition/XI/37
Jump to navigation
Jump to search
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 $\text{XI}$: Proposition $37$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{XI}$. Propositions