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This is a difficult question to answer because it is probably in the realms of spherical geometry, not the Euclidean geometry. In the Euclidean sense there is no straight line on the suface of a sphere.

The 0 and 180 degrees longitude can be seen to represent the intersection of the sphere (the earth) with a vertical plane. In that case, any one of the infinite number of lines in that plane will go through both the longitudes - and only those longitudes.

Strictly speaking, the earth is not spherical, and its axis is tilted so the plane would not be vertical, but these details do not affect the argument.

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13y ago

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