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Book III   Proposition 33
Then, since AF is equal to FB, and FG is common,
    the two sides AF, FG are equal to the two sides BF, FG; and the angle AFG is equal to the angle BFG;
therefore
    the base AG is equal to the base BG. [I.4]

Therefore the circle described with center G and distance GA will pass through B also.
    Let it be drawn, and let it be ABE;
    let EB be joined.

Now, since AD is drawn from A, the extremity of the diameter AE, at right angles to AE,
therefore AD touches the circle ABE. [III.16, Por.]
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