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Book VI   Proposition 13
Since
    the angle ADC is an angle in a semicircle,
    it is right. [III.31]

And, since,
    in the right-angled triangle ADC,
    DB has been drawn from the right angle perpendicular to the base,
therefore
    DB is a mean proportional between the segments of the base, AB, BC. [VI.8, Por.]

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