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Updated: June 3, 2025
In a cubic mile of space there are demonstrably seventy millions of foot tons of power. Steam and lightning have nothing comparable to the activity and power of the celestial ether. Sir William Thompson thinks he has proved that a cubic mile of celestial ether may have as little as one billionth of a pound of ponderable matter.
In this way the dilution of the original millionth of a grain of medicine contained in the grain of powder operated on is carried successively to the billionth, trillionth, quadrillionth, quintillionth, and very often much higher fractional divisions.
2d " One ten thousandth. 3d " One millionth, marked I. 4th " One hundred millionth. 5th " One ten thousand millionth. 6th " One million millionth, or one billionth, marked II. 7th " One hundred billionth. 8th " One ten thousand billionth. 9th " One million billionth, or one trillionth, marked III. 10th " One hundred trillionth. 11th " One ten thousand trillionth.
If he were a homeopath, I know I should; for if a billionth of a grain of sugar won't begin to sweeten my tea or coffee, I don't feel afraid that a billionth of a grain of anything would poison me, no, not if it were snake-venom; and if it were not disgusting, I would swallow a handful of his lachesis globules, to please my husband.
But he should have remembered that at every successive dilution he lays aside or throws away ninety-nine hundredths of the fluid on which he is operating, and that, although he begins with a drop, he only prepares a millionth, billionth, trillionth, and similar fractions of it, all of which, added together, would constitute but a vastly minute portion of the drop with which he began.
In this way the dilution of the original millionth of a grain of medicine contained in the grain of powder operated on is carried successively to the billionth, trillionth, quadrillionth, quintillionth, and very often much higher fractional divisions.
"Dearest, it doesn't make the difference of the billionth part of a counterfeit Russian rouble." She regarded him curiously. "Are you as cheerful as all that just because you're getting back at Mr. Mix? And maybe spoiling his boom for Mayor?" Henry said that he was all as cheerful as that; yea, more so.
But he should have remembered that at every successive dilution he lays aside or throws away ninety-nine hundredths of the fluid on which he is operating, and that, although he begins with a drop, he only prepares a millionth, billionth, trillionth, and similar fractions of it, all of which, added together, would constitute but a vastly minute portion of the drop with which he began.
Just as a billion, minus the billionth fraction of a unit, is no longer a billion, so infinity itself, limited though it be but by a hair's-breadth, is no longer, strictly speaking, infinite.
But by the by why does not such extreme heat cook us all up like so many beefsteaks?" "For two very good and sufficient reasons," answered Barbican. "In the first place, the terrestrial atmosphere absorbs the 4/10 of the solar heat. In the second, the quantity of solar heat intercepted by the Earth is only about the two billionth part of all that is radiated."
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