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S		 Book VI   Proposition 24
Therefore, proportionally,
    as AD is to DC, so is AG to GF,
    as DC is to CA, so is GF to FA,
    as AC is to CB, so is AF to FE,
and further,
    as CB is to BA, so is FE to EA.

And, since it was proved that,
    as DC is to CA, so is GF to FA,
and,
    as AC is to CB, so is AF to FE,
therefore, ex aequali,
    as DC is to CB, so is GF to FE. [V.22]
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