Proposition X.24 — The rectangle contained by medial straight lines commensurab…

Proof

Product of two medials in rational length-ratio is again the geometric mean of two rationals (Definition XIII.3).

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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.23Proposition X.23A straight line commensurable with a medial straight line is medial.

Required by (dependents) (1)

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

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