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Book III   Proposition 13
For, is possible, let the circle ABDC touch the circle EBFD, first internally, at more points than one, namely B, D.

    Let athe center G of the circle ABDC, and the center H of EBFD, be taken.

Therefore the straight line joined from G to H will fall on B, D. [III.11]
    Let it so fall, as BGHD.
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