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Book I   Proposition 25
Then, since the angle ABE is equal to the angle BAE
    the straight line EB is also equal to EA. [I.6]
(continue)

And, since AD is equal to DC, and DE is common,
    the two sides AD, DE are equal to the two sides CD, DE respectively; and the angle ADE is equal to the angle CDE, for each is right;
therefore
    the base AE is equal to the base CE.
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