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$\begingroup$ This is the simple, intuitive answer I would have given. $\endgroup$
– Barmar
Commented May 7, 2021 at 13:50
1

$\begingroup$ @Barmar I disagree; the point about not going south after you've passed the south pole I think is intuitive and doesn't need explanation. As long as you're continuing on a straight line, or a straight arc as it were, you'll end up at the correct point. $\endgroup$
– Mark Ransom
Commented May 8, 2021 at 2:12
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$\begingroup$ Projection of a course on a sphere into euclidian space results in a "straight line" only in very special cases. Along a great circle (geodesic on a sphere) other than a meridian or the equator one constantly changes the bearing wrt to the meridians crossed -> orthodrome, a straight course allways ends up at a pole -> loxodrome. $\endgroup$
– user22279
Commented May 8, 2021 at 10:48

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