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let it be cut at the point C so that the rectangle contained by AB, BC is equal to the square on CA; [II.11]
with center A and distance AB
let the circle BDE be described,
and
let there be fitted in the circle BDE the straight line BD equal to the straight line AC which is not greater than the diameter of the circle BDE. [IV.1]
Let AD, DC be joined,
and
let the circle ACD be circumscribed about the triangle ACD. [IV.5]
