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Book IV   Proposition 7
I say next that it is also right-angled.

For, since
    GBEA is a parallelogram,
and
    the angle AEB is right,
therefore
    the angle AGB is also right. [I.34]

Similarly we can prove that
    the angles at H, K, F are also right.
Therefore
    FGHK is right-angled.
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