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Book II   Proposition 8
    Let OH, which is the square on AC, be added to each;
therefore
    four times the rectangle AB, BD and the square on AC are equal to the gnomon STU and OH.

But
    the gnomon STU and OH are the whole square AEFD,
which is
    described on AD;
therefore
    four times the rectangle AB, BD together with the square on AC is equal to the square on AD.
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