Be careful about the shortest path. Of course you and the earth know that a geodesic arc is the shortest path, cutting nearly a great circle along the point from A to B. But map distortions give you a different "view" and when you draw a straight line on a mercator, you have a rhumb line. Maps are either angle preserving or area preserving ... but not both. So depending on the type map you use, you will get different (and of course, erroneous) distances and angles. Hence if we go straight east (and maintain straight east) we follow a small circle. On a real globe, it is NOT the shortest path.

Bob
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