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S		 Book II   Proposition 10
Since
    the square on AE is double of the square on AC,
and
    the square on EG double of the square on CD;
therefore
    the squares on AE, EG are double of the squares on AC, CD.

And
    the square on AG is equal to the squares on AE, EG; [I.47]
therefore
    the square on AG is double of the squares on AC, CD.
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