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On a flat surface, in plane geometry, two parallel lines never meet; they are perfectly aligned with each other, so that they neither approach nor diverge from each other, at any distance. Parallel lines can meet at the poles, but not in plane geometry; this happens in spherical geometry. If the lines are on a sphere, such as, for example, the lines of longitude that are used (in conjunction with lines of latitude) to specify locations on the planet Earth, parallel lines meet at the poles. On a large scale, these parallel lines look completely different from those of plane geometry, but on a small scale, these huge circles will look much like line segments of plane geometry. Over short distances, the spherical surface of the Earth appears to be flat.

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