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I wonder if the unsolved problem of drilling a triangle hole is related to the geometric problem of dividing a line into three equal parts with just a compass.


You can't trisect an arc using only a compass and a straightedge. (You can simulate a straightedge using a compass.) Dividing a line into 3 parts is trivial.


Funny I'd forgotten that that was possible. http://upload.wikimedia.org/wikipedia/en/d/dc/Trisectsegment...




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