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Book III   Proposition 14
Then, since
    a straight line EF through the center cuts a straight line AB not through the center at right angles, it also bisects it. [III.3]
Therefore
    AF is equal to FB;
therefore
    AB is double of AF.
For the same reason
    CD is also double of CG;

and
    AB is equal to CD;
therefore
    AF is also equal to CG.
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