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mc10 | 1 year ago

The instructions state the following:

> Imagine you begin a journey in Seattle WA, facing exactly due east. Then start traveling forward, in a straight line along the Earth’s surface.

Where does it say to "travel exactly due East"?

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lxgr|1 year ago

The instructions are impossible to follow, since there are no straight lines (in all three dimensions) along the Earth's surface.

And if it's supposed to mean "a straight line when projected onto a map", I'd like to know: Which map projection? :)

enoch_r|1 year ago

Imagine you're on a snowmachine 10 feet south of the North Pole pointing due east. I tell you to ride for 10 miles without turning. You don't need to worry about map projections or anything - just don't turn. When you stop, are you still 10 feet south of the North Pole? Clearly not, you'll be about 10 miles south of the pole.

It's exactly the same if you start in Seattle. If you drive for 10 miles without turning, when you stop you will no longer be at Seattle's latitude - you'll have gone south.

kuhewa|1 year ago

Impossible to follow if you are thinking Euclidean geometry, but a great circle is a straight line in spherical geometry. The earth isn't a sphere, but it is much closer to one than it is a plane.

cush|1 year ago

Certainly not the map projection used to illustrate the question with the giant straight line on it. Not that one