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Book III   Proposition 16
For, if possible,
    let another straight line be so interposed, as FA,
and
    let DG be drawn from the point D perpendicular to FA.

Then, since
    the angle AGD is right, and the angle DAG is less than a right angle,
    AD is greater than DG. [I.19]

But
    DH is equal to DA;
therefore
    DH is greater than DG,
the less than the greater: which is impossible.
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