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Book VI   Proposition 19
Since then,
    as AB is to BC,
    so is DE to EF,
therefore, alternatively,
    as AB is to DE,
    so is BC to EF. [V.16]
But
    as BC is to EF,
    so is EF to BG;
therefore also,
    as AB is to DE,
    so is EF to BG. [V.11]
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