Is two distinct rhumb lines with the same bearing on a perfect sphere parallel?
I am defining parallel as 2 objects as parallel if they do not intersect, go in the same direction, and a constant distance can be defined between the 2.
(Note: A rhumb line, or loxodrome, is a “line” crossing all meridians at the same angle, i.e. a path of constant bearing. It is obviously easier to manually steer than the constantly changing heading of the shorter great circle route.
I am having a hard time imagining it. How do I show or explain if it would be parallel or not?