Proposition X.22 — The square on a medial straight line, if applied to a ration…

Proof

A medial squared is rational; applying it to a rational base, the breadth is rational; the incommensurability follows from the fact that the medial is incommensurable in length with the rational.

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Depends on (1)

X.21Proposition X.21The rectangle contained by rational straight lines commensurable in square only is irrational, and the side of the…

Required by (dependents) (1)

X.27Proposition X.27To find medial straight lines commensurable in square only which contain a rational rectangle.

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