Euclid:Proposition/XIII/3
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Proposition
In the words of Euclid:
- If a straight line be cut in extreme and mean ratio, the square on the lesser segment added to half of the greater segment is five times the square on the half of the greater segment.
(The Elements: Book $\text{XIII}$: Proposition $3$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): Book $\text{XIII}$. Propositions