A coelo ad centrum

What does A coelo ad centrum mean in American Law?

The definition of A coelo ad centrum in the law of the United States, as defined by the lexicographer Arthur Leff in his legal dictionary is:

From the heavens to the center of the earth. Another, fuller form is “Cugus est solum ejus est usque ad coelum et ad inferos,” i.e., “The owner of the soil owns to the heavens and to the lowest depths (of the earth).” This may be true in most situations, but like all rights of “ownership” it is not quite as absolute as it sounds. For instance, it is not trespass to fly an airplane over private property (though it may be nuisance if one flies too close), and water-rights law clearly contemplates the use by people of water flowing under other people’s land.