this post was submitted on 08 Jun 2025
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[โ€“] Eatspancakes84@lemmy.world 2 points 1 day ago (1 children)

Counterexample: North and Southpole on Earth.

[โ€“] SparroHawc@lemmy.zip 1 points 4 hours ago

No, it's still accurate - the straight line goes through the center of the Earth. Only in coordinate systems where 'straight' is defined as following the curvature of a surface are there infinite lines between the North and South Poles... and that would be non-Euclidean geometry.