Euclid:Proposition/X/4/Porism

Proposition

In the words of Euclid:

From this it is manifest that, if a magnitude measure three magnitudes, it will also measure their greatest common measure.
Similarly too, with more magnitudes, the greatest common measure can be found, and the porism can be extended.

(The Elements: Book $\text{X}$: Proposition $4$ : Porism)

Sources

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