Proposition X.27 — To find medial straight lines commensurable in square only w…

Proof

Construct two such medials from a fixed rational by extracting two square-roots of ratios in lowest terms.

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Depends on (2)

X.21Proposition X.21The rectangle contained by rational straight lines commensurable in square only is irrational, and the side of the…
X.22Proposition X.22The square on a medial straight line, if applied to a rational straight line, produces as breadth a straight line…

Required by (dependents) (3)

X.28Proposition X.28To find medial straight lines commensurable in square only which contain a medial rectangle.
X.31Proposition X.31To find two medial straight lines commensurable in square only, containing a rational rectangle, such that the square…
X.37Proposition X.37If two medial straight lines commensurable in square only and containing a rational rectangle be added together, the…

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