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Consider non-collinear points A, O, B and a point X between A and B. Give a ruler-and-compass construction of a line / through X

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Consider non-collinear points A, O, B and a point X between A and B. Give a ruler-and-compass construction of a line / through X that intersects [OA) at P and [OB) at Q in such a way that OP = OQ. Show that the construction is correct. B X A

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