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Book II   Proposition 9
And, since
    the angle GEF is half a right angle,
and
    the angle EGF is right, for it is equal to the interior and opposite angle ECB, [I.29]
    the remaining angle EFG is half a right angle; [I.32]
therefore
    the angle GEF is equal to the angle EFG,
so that
    the side EG is also equal to GF. [I.6]

For the same reason
    the side DF is also equal to DB.
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