In spherical geometry, parallel lines do not exist in the same way they do in Euclidean geometry. Instead, all great circles (the equivalent of "straight lines" in spherical geometry) eventually intersect. Therefore, one could say that in spherical geometry, parallel lines can be thought of as lines that are "great circles" that do not intersect within the context of the spherical surface, but they will eventually meet at the poles if extended infinitely. So, in short, all lines intersect in spherical geometry.
in spherical geometry parallel lines intersect at ___
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