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Construct a Segment with a Given Midpoint and Endpoints on Two Given Lines

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Construction

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Choose any point on such that is not perpendicular to .

Draw a circle with the center and the radius . Let a point be the second intersection of and .

Let be the intersection of and the line . Then the point symmetric to with respect to is on and is the midpoint of .

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Contributed by: Marko Razpet and Izidor Hafner (August 2018)
Open content licensed under CC BY-NC-SA

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