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On a cosmological scale, considered from a geometric or mathematical point of view, for a ...
1. flat universe (zero curvature)
the angles of a triangle add to 180 degrees
parallel lines stay parallel with distance
for a right triangle, c^2 = a^2 + b^2
2. open universe (negative curvature)
the angles of a triangle add to less than 180 degrees (sides bow inwards)
"parallel lines" diverge with distance
for a right triangle, c^2 < a^2 + b^2
3. closed universe (positive curvature)
the angles of a triangle add to more than 180 degrees (sides bow outwards)
"parallel lines" converge with distance
for a right triangle, c^2 < a^2 + b^2
Regards, Rob
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