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Book VI   Proposition 18
Again, on the straight line BG, and at the points B, G on it, let
    let the angle BGH be constructed equal to the angle at DFE,
and
    the angle GBH equal to the angle FDE. [I.23]
Therefore
    the remaining angle E is equal to the remaining angle at H; [I.32]
therefore
    the triangle FDE is equiangular with the triangle GBH;
therefore, proportionally,
    as FD is to GB,
    so is FE to GH,
and
    ED to HB. [VI.4]
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