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Book II   Proposition 8
Since
    the four areas AG, MQ, QL, RF are quadruple of AG
and
    the four areas CK, KD, GR, RN are quadruple of CK
therefore
    the eight areas, which contain the gnomon STU, are quadruple of AK.

Now, since
    AK is the rectangle AB, BD, for BK is equal to BD, therefore
    four times the rectangle AB, BD is quadruple of AK;
therefore
    four times the rectangle AB, BD is equal to the gnomon STU.
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