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Circumnavigating the Earth

Is there any course that a ship can follow that would allow it to circumnavigate the full circumference of the earth without bumping into any land while travelling the whole time in a straight line? Assume that your ship has perfect ice-cutting capacity and can cut through any mass of ice, but cannot, of course, cut through land.

First Answer:

No. It is not possible for any ship to travel in a straight line, since they all follow the curvature of the earth.

So, the question becomes: Is there any course that a ship can follow that would allow it to circumnavigate the full circumference of the earth without bumping into any land while travelling the whole time in a straight line as looked at from above?

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