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Book IV   Proposition 6
Then, since
    BE is equal to ED, for E is the center and EA is common and at right angles,
therefore
    the base AB is equal to the base AD. [I.4]

For the same reason
    each of the straight lines BC, CD is also equal to each of the straight lines AB, AD;
therefore
    the quadrilateral ABCD is equilateral.
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