Euclid:Proposition/X/83

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Proposition

In the words of Euclid:

To a straight line which produces with a rational area a medial whole only one straight line can be annexed which is incommensurable in square with the whole straight line and which with the whole straight line makes the sum of the squares on them medial, but twice the rectangle contained by them rational.

(The Elements: Book $\text{X}$: Proposition $83$)


Sources