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Book IV   Proposition 16
Let
    BC be bisected at E;
therefore
    each of the circumferences BE, EC is a fifteenth of the circle ABCD.

If therefore we
    join BE, EC
and
    fit into the circle ABCD straight lines equal to them and in contiguity, a fifteen-angled figure which is both equilateral and equiangular will have been inscribed in it.

Being what it was required to do.
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