Let the amount of apergy, or repulsion, or centrifugal force at
the surface of the earth be represented by x. This is the result
of motion at the rate of 1,000 miles per hour. Make this motion
2,000 miles per hour, and the apergy is increased 1.6. Four
thousand miles above the surface of this earth the rotation
is at the rate of 2,000. It is the globe of 48,000 miles in
circumference revolving in 24 hours, and the speed is doubled.
This apergy has increased by 1.6. As the apergy increases at
this rate every time the speed is doubled, at a distance
of 21,000 miles the speed is 7,000 miles per hour and the
centrifugal force has been increased nearly four times what it
was at the surface of the ocean. The attraction has been
decreased to about one-thirtieth. At the surface it is equal to
120 x. At 4,000 miles to one-quarter, or 30 x; at 16,000 miles
to one-sixteenth, or 7 x; and at 21,000 miles to 4 x.

If "equatorial gravity is about 120 times that of the equatorial
apergy," at the ocean level, then at the distance of 21,000 miles
from it, in a revolving globe, the two forces would be equal;
the "pull" of each being 4 x, and an anchor will weigh no more
than a feather, for weight is the excess of gravity or apergy.

If the pyramids had been built of the heaviest known material on
the gases 21,000 miles above us, and so that they should revolve
in the same time, 7,000 miles per hour, they would remain there.
All the attraction of the solid core of the earth that could be
exerted on them at that distance would not be enough to pull them
an inch nearer to it through our gaseous envelope. Their gaseous
foundation there would be as firm as igneous rock here.