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... my guess is that photographs are one of the ways to actually show that the size of the moon is constant ...
If you use a wide angle lens, you photograph the whole sky. If there's a person in the foreground with the moon behind him, the moon will appear very small. If you use a telephoto lens, you photograph only a small part of the sky. If there's a person in the distance next to the moon, he may fill the picture, and so will the moon.
The Moon appears small when viewed high up in the sky. The Moon appears vary large when viewed near the horizon. This is due to an optical illusion.Our brain may be fooled, but surely a camera should show the actual size of the Moon at all times. Why is the camera being fooled too?