Maybe some of you remember the problem from basic vector math class, where a 
boat must travel across a flowing river to a certain point, and you need to 
calculate which direction the boat should point.

The captain of a certain boat is not so clever though, and just aims his 
boat straight at the destination, of course the boat starts to get pushed 
off course by the river current, but the captain keeps the boat pointed at 
the destination at all times.  Eventually (assuming the boat can overcome 
the river current) the boat reaches the destination.  What shape curve did 
the boat trace out?

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