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Book IV   Proposition 9
Now, since
    the angle DAB is equal to the angle ABC,
and
    the angle EAB is half the angle DAB,
and
    the angle EBA half the angle ABC,
therefore
    the angle EAB is also equal to the angle ABC;
so that
    the side EA is also equal to EB. [I.6]

Similarly we can prove that
    each of the straight lines EA, EB is equal to each of the straight lines EC, ED.
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