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S		 Book III   Proposition 35
Since, then, the straight line AC has been cut into equal parts at G and into unequal parts at E,
    the rectangle contained by AE, EC together with the square on EG is equal to the square on GC; [II.5]

    Let the square on GF be added;
therefore
    the rectangle AE, EC together with the squares on GE, EF is equal to the squares on CG, GF.
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