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Book III   Proposition 12
Then, since the point F is the center of the circle ABC,
    FA is equal to FC.
Again, since the point G is the center of the circle ADE,
    GA is equal to GD.

Therefore
    FA, AG are equal to FC, GD,
so that
    The whole FG is greater than FA, AG;
but it is also less [I.20]: which is impossible.
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