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Book IV   Proposition 14
Now, since
    the angle BCD is equal to the angle CDE,
and
    the angle FCD is half of the angle BCD,
and
    the angle CDF half of the angle CDE,
therefore
    the angle FCD is also equal to the angle CDF;
so that
    the side FC is also equal to the side FD. [I.6]

Similarly it can be proved that
    each of the straight lines FB, FA, FE is equal to each of the straight lines FC, FD.
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