Proposition X.26 — A medial area does not exceed a medial area by a rational ar…

Proof

A difference

M_{1} - M_{2} = R

with

R

rational and

M_{1}

M_{2}

medial would force

M_{1}

M_{2}

to be in a rational ratio, contradicting their being medial in distinct families.

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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.25Proposition X.25The rectangle contained by medial straight lines commensurable in square only is either rational or medial.

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