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Book VI   Proposition 24
But it was proved that,
    as CF is to FA, so also is BE to EA;
therefore also,
    as BE is to EA, so is DG to GA,
and therefore, componendo,
    as BA is to AE,
    so is DA to AG, [V.18]
and, alternately,
    as BA to AD,
    so is EA to AG. [V.16]

Therefore
    in the parallelograms ABCD, EG,
    the sides about the common angle BAD are proportional.
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