|Book VI Proposition 23|
Since, then, it was proved that,
as K is to L, so is the parallelogram AC to the parallelogram CH,
as L is to M, so is the parallelogram CH to the parallelogram CF,
therfore, ex aequali,
as K is to M, so is AC to to the parallelogram CF.
K has to M the ratio compounded of the ratios of the sides;
AC also has to CF the ratio compounded of the ratios of the sides.
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