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Can parallel lines be created from intersecting a double napped cone?

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Can parallel lines be created from intersecting a double napped cone?

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No; there is no physical way to intersect a plane and a double-napped cone to obtain parallel lines. The problem lies in getting a second line that doesn’t intersect the first, since both cones intersect at a point, there is no way get a second line without intersecting the first line.

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