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Book VI   Proposition 24
Then, since
    EF has been drawn parallel to BC, one of the sides of traingle ABC,
proportionally,
    as BE is to EA,
    so is CF to FA. [VI.2]

Again, since
    FG has been drawn parallel to CD, one of the sides of traingle ACD,
proportionally,
    as CF is to FA,
    so is DG to GA. [VI.2]
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