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To be fair, you don't need to have both measurements taken from the same latitude and sea level, you just need to factor these into your results, because the squished earth means that the radius is longer at the equator compared with the poles, while increasing topographic altitude also obviously increases the radius.
So long as you know how much higher above sea level you are from the other measurement, and how much further north/south from the equator, then you can still determine the world is round by taking these two measurements simultaneously.
edit - I wouldn't have a clue how to factor in the north/south aspect. It's not an obvious calculation like the altitude value. So, ensure both are at the same latitude, because otherwise you're getting into some filthy maths.
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