Proposition X.38 — If two medial straight lines commensurable in square only an…

Proof

Same scheme as X.37 with the rectangle medial instead of rational.

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Depends on (2)

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

Required by (dependents) (5)

X.44Proposition X.44A second bimedial straight line is divided at one point only.
X.56Proposition X.56If an area be contained by a rational straight line and the third binomial, the side of the area is the irrational…
X.67Proposition X.67A straight line commensurable in length with a bimedial straight line is itself bimedial and the same in order.
X.72Proposition X.72If two medial areas incommensurable with one another be added together, the remaining two irrational straight lines…
X.75Proposition X.75If from a medial straight line there be subtracted a medial straight line commensurable with the whole in square only,…

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