SOLUTION: Does Euclid's first postulate hold on the surface of a sphere?

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No. it says parallel lines never intersect. Meridean lines on
the globe satisfy the requirement that a line is the shortest
distance between two points on the globe. But the meridian lines
intersect at the poles; the 1st postulate does not hold in a
curved space. By the way, that means does not hold on the earth
or in our universe. WOW!
Cheers, Stan H.