Geometric Construction with the Compass Alone A circle is given by its radius R and the center O that lies on AB. Find the points of intersection of the circle with the segment AB. Solution From the point A swing an arc of arbitrary radius intersecting the given circle. Let C and D be the points of intersection. Using Problem #7 bisect two arcs CD of the original circle. Copyright © 1996-2008 Alexander Bogomolny

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