1986 USAMO Problems/Problem 4
Two distinct circles and are drawn in the plane. They intersect at points and , where is the diameter of . A point on and inside is also given.
Using only a "T-square" (i.e. an instrument which can produce a straight line joining two points and the perpendicular to a line through a point on or off the line), find a construction for two points and on such that is perpendicular to and is a right angle.
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