|Book III Proposition 33|
the angle BAD is equal to the angle in the segment AEB, for the latter too is itself a right angle, being an angle in a semicircle. [III.31]
the angle BAD is also equal to the angle at C.
the angle AEB is also equal to the angle at C.
the segment AEB of a circle has been described on AB admitting an angle equal to the angle at C.
Being what it was required to do.
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