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This contradiction, however, does not consist solely in the nature of the two factors World and Man; it is the main lever also of universal intellectual progress and is solved every day and for ever in an endless progressive development of humanity, just as mathematical problems find their solution in an endless progression of a recurring decimal.
Now when these unusual appearing allies stood silently aligned before them on the seashore, Dom Manuel said, with a polite bow toward this appalling host, that he hardly thought Duke Asmund would be able to withstand such Redeemers. But Miramon repeated that there was nothing like the decimal system.
In mathematics, as in many of the sciences, a constant is employed. A constant is a figure which never varies. In this case the constant is designated by the decimal .005. That means 5/1000th, or reduced to its lowest denomination, 1/200th. If, now, we divide 400 by 1/200, the result will be 2 pounds.
This he successfully did by the use of a roller railway, and as a reward for the feat was duly knighted by the King. The one idea that he worked out in detail and gave to the world, and which the world has not improved upon, is our present decimal system. As the years passed, Swedenborg became rich. He lived well, but not lavishly.
As a basis for the notion of a whole made up of equal parts, nothing so readily suggests itself as the hand with its five, or the hands with their ten, fingers; upon this rests the decimal system. We have already observed that these elements of all numeration and measuring reach back not merely beyond the separation of the Greek and Latin stocks, but even to the most remote primeval times.
This is the key to accumulation of improvement, whether in the arts which we assiduously practise during our single life, or in the structures and instincts of successive generations. The memory does not complete a true circle, but is, as it were, a spiral slightly divergent therefrom. It is no longer a perfectly circulating decimal.
"Bless you, yes!" replied Jervis. "I have become parasitical on Thorndyke! 'The big fleas have little fleas, you know. I am the additional fraction trailing after the whole number in the rear of a decimal point." "Don't you believe him, Berkeley," interposed Thorndyke. "He is the brains of the firm. I supply the respectability and moral worth. But you haven't answered my question.
The decimal measures below the gallon would correspond of course with the weights, as it is decided by the act, that a gallon is to contain ten pounds of water. The measures above gallons, it is proposed to call firkins and butts. It is taken for granted that quarts and pints, as well as half-pounds and quarter-pounds, would still be continued in use.
They started from the measurement of the globe itself, and took as the basis of their whole system the ten-millionth part of a quadrant of a meridian, equal to 39-371/1000 inches English. To express diminution in the decimal ratio, they used the Latin numerals; thus, decimètres, tenths of meters; centimètres, hundredths of meters; milliamètres, thousandths of meters.
That society proposed the adoption of the decimal division, by taking for a fundamental unit the ten-millionth part of the quarter of the terrestrial meridian. The motives which determined this choice were the extreme simplicity of decimal calculation, and the advantage of having a measure taken from nature.
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