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IN GEOMETRY, PARALLEL LINES ARE LINES IN A PLANE WHICH DO NOT MEET.

 

IN NON-EUCLIDEAN GEOMETRY, IT IS MORE COMMON TO TALK ABOUT GEODESICS THAN (STRAIGHT) LINES [...] TWO GEODESICS CAN EITHER BE:

 

[...]

 

2. PARALLEL, IF THEY DO NOT INTERSECT IN THE PLANE, BUT HAVE A COMMON LIMIT

POINT AT INFINITY, OR

 

[...]

SOME OF THE ALL ROADS PARALLEL

(TO CAPITOLINE SQUARE)

SOME OF THE ALL ROADS CONVERGING

(TO CAPITOLINE SQUARE)