Proposition X.67 — A straight line commensurable in length with a bimedial stra…

Proof

Same scheme as X.66.

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Depends on (3)

X.37Proposition X.37If two medial straight lines commensurable in square only and containing a rational rectangle be added together, the…
X.38Proposition X.38If two medial straight lines commensurable in square only and containing a medial rectangle be added together, the…
X.66Proposition X.66A straight line commensurable in length with a binomial straight line is itself also binomial and the same in order.

Required by (dependents) (2)

X.68Proposition X.68A straight line commensurable with a major straight line is itself major.
X.104Proposition X.104A straight line commensurable in length with an apotome of a medial is itself such an apotome of the same order.

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