In a universe with positive or negative curvature, parallel lines do not exist, therefore in such a universe, orthogonality is one-sided from a vantage point of view (POV). As shown by the image below, lines AB and CD are not parallel. Therefore, distances lq, mr, and ns are meaningful only from POV of line AB and distances qm, rn, and sk are meaningful only from POV of line CD.
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