Latrobe...I see what you are getting at....it seems if the plane made a continuously perpendicular to the earth flight, his alt would continually increase and he would eventually be in orbit. That is if he isn't using a standard altimeter and just flying "straight".
Okay, so what about this....if two planes were traveling, one directly over the other....the first at 500 feet and the second at 50000 feet. If both of the planes had to travel from point A to point B staying at the exact orientation throughout. Both starting over point A and finishing over B at the same time....would the higher one have to travel faster to reach point B at the same time? Because of the curvature of the earth, wouldn't he have to cover more distance in the same amount of time?? The same thing with a merry-go-round. The outside seats would go faster because of the same principle....right?