We have ascended already from our small starting-point to numbers which
express the heat that falls upon the whole planet, and enable us to
deal, if we wish, with questions relating to the glacial epochs and
other changes in its history. We have done this by referring at each
step to the little cube which we have carried along with us, and which
is the foundation of all the rest; and we now see why such exactness
in the first determination is needed, since any error is multiplied
by enormous numbers. But now we too are going to step off the earth
and to deal with numbers which we can still express in the same way
if we choose, but which grow so large thus stated that we will seek
some greater term of comparison for them. We have just seen the almost
incomprehensible amount of heat which the sun must send the earth in
order to warm its oceans and make green its continents; but how little
this is to what passes us by! The earth as it moves on in its annual
path continually comes into new regions, where it finds the same amount
of heat already pouring forth; and this same amount still continues to
fall into the empty space we have just quitted, where there is no one
left to note it, and where it goes on in what seems to us utter waste.
If, then, the whole annual orbit were set close with globes like ours,
and strung with worlds like beads upon a ring, each would receive the
same enormous amount the earth does now. But this is not all; for not
only along the orbit, but above and below it, the sun sends its heat in
seemingly incredible wastefulness, the final amount being expressible
in the number of _worlds_ like ours that it could warm like ours, which
is 2,200,000,000.
We have possibly given a surfeit of such numbers, but we cannot escape
or altogether avoid them when dealing with this stupendous outflow of
the solar heat. They are too great, perhaps, to convey a clear idea to
the mind, but let us before leaving them try to give an illustration of
their significance.
Let us suppose that we could sweep up from the earth all the ice and
snow on its surface, and, gathering in the accumulations which lie
on its Arctic and Antarctic poles, commence building with it a tower
greater than that of Babel, fifteen miles in diameter, and so high as
to exhaust our store. Imagine that it could be preserved untouched by
the sun’s rays, while we built on with the accumulations of successive
winters, until it stretched out 240,000 miles into space, and formed an
ice-bridge to the moon, and that then we concentrated on it the sun’s
whole radiation, neither more nor less than that which goes on every
moment. In _one_ second the whole would be gone, melted, boiled, and
dissipated in vapor. And this is the rate at which the solar heat is
being (to human apprehension) _wasted_!
Public-domain text, read in full here on John Shaqi.
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