Euclid:Proposition/IX/11/Porism

Proposition

In the words of Euclid:

And it is manifest that, whatever place the measuring number has, reckoned from the unit, the same place also has the number according to which it measures, reckoned from the number measured, in the direction of the number before it.

(The Elements: Book $\text{IX}$: Proposition $11$ : Porism)

Sources

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