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#2 Midpoint of circle

You come into a room and see that someone has drawn a perfect circle on a paper. Beside it you see a long ruler, on which all the markings has unfortunatly decayed, and a big compass. You are curiuos as to how they drew such a perfect circle. Can you use the compass and ruler to find where exactly the center of the circle lies?

look into this: straight edge and compass construction

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