I suggest that everyone reads the full text of the article associated with Tom's isolated Moon picture (with the arrow)
http://www.seas.upenn.edu/~amyers/MoonPaper20June.pdf
Yes. Read that, and notice the following.
The number of times the author tries to explain the effect with the change of angles of something close up, such as the angled corners of the room or a building when you travel past it: numerous
The number of times the author actually uses the distance to the moon in any of her calculations: none
The number of times the author remarks how mysterious and hard to explain the issue is: several
Really? Let's see you do the math. I never see you do it. You propose these thought experiment analogies all the time without any math to back them up.
It is easy to see how perspective plays very little part in the Round Earth system.
In RET the distance to the moon is 238,900 miles.
Imagining that distance as a radius of a circle, with observers positioned all around it, we can get the circumference of that circle with C=2*pi*R.
The circumference is 1501052.96989 miles
We divide it by 360 to get 4169.59158301 miles per degree
The diameter of the earth is 7,917.5 miles
7,917.5 / 4169.59158301 = a ratio of 1.89, or a little less than 2 degrees.
If we place the earth on the circumference we created above, with two observers standing on direct opposite sides of the earth, about 7917.5 miles apart, looking at the moon on their horizon should see a difference in shift of less than 2 degrees. This should also mean that the moon will shift back and fourth very minimally as it passes over the head of the observer.
The shift in perspective, under the Round Earth Theory, should be very slight.
Factoring in the idea that the moon does not always pass directly overhead does not help either. The shift in perspective should be very slight whether you were at the North Pole of a Round Earth or at the equator. Under the Round Earth model the moon is very far away.
The concept that perspective would play hardly any part in the observation of the moon under the Round Earth system is straight forward and apparent. Tilting, shifting, all becomes less and less with greater distances. Lets see your math on these dramatic perspective shifts or tilts. Go.