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Updated: May 4, 2025
Next in value are the lowest multiples of these numbers and the least common multiples of any two of them, because the eye, with a little assistance, is able to resolve them into their constituent factors.
From this assumption, and the Daltonian conception of the atom, it follows that the quantities by weight of one element which are found to unite with one and the same weight of another element must always be expressible as whole multiples of one number.
Of course, he must constantly employ numbers expressive of several centimetres or millimetres instend of the name of a single smaller unit than the metre. Besides, the metre is not divisible into twelfths, eighths, sixths, or thirds, or the multiples of any of these proportions, two of which at least the eighth and the third are of as frequent use as any other fractions.
One such must be in bloom at this very writing, in the garden of a house which this very writer marked for his own on his first drive ashore from the steamer to the hotel, when he bestowed in its dim, unknown interior one of the many multiples of himself which are now pretty well dispersed among the pleasant places of the earth.
Thus it is manifest that the present chemical heterogeneity of the Earth's surface has arisen by degrees, as the decrease of heat has permitted; and that it has shown itself in three forms first, in the multiplication of chemical compounds; second, in the greater number of different elements contained in the more modern of these compounds; and third, in the higher and more varied multiples in which these more numerous elements combine.
They think of a chemical change as being; a union of those weights of two, or more, elements which are expressed by the numbers attached to these elements, or by whole multiples of these numbers; or a union of such weights of two, or more, compounds as can be expressed by certain numbers or by whole multiples of these numbers; or a reaction between elements and compounds, or between compounds and compounds, resulting in the redistribution of the elements concerned, in such a way that the complete change of composition can be expressed by using the numbers, or whole multiples of the numbers, attached to the elements.
The number of vibrations of the different rays are not the successive multiples of one and the same number, and it is not a question of a fundamental radiation and its harmonics, while and this is an essential difference the number of vibrations of the radiation tend towards a limit when the period diminishes infinitely instead of constantly increasing, as would be the case with the vibrations of sound.
It should be noted that China is still on a Copper Standard basis, the people's buying and selling being conducted in multiples of copper cent-pieces of which there has been an immense over-issue, the latest figures showing that there are no less than 22,000,000,000 1-cent, ten cash pieces in circulation or 62 coins per head of population roughly twenty-five millions sterling in value, or 160,000 tons of copper!
Unity is vision; it must have been part of the process of learning to see. The older the mind, the older its complexities, and the further it looks, the more it sees, until even the stars resolve themselves into multiples; yet the child will always see but one.
It should be noted that China is still on a Copper Standard basis, the people's buying and selling being conducted in multiples of copper cent-pieces of which there has been an immense over-issue, the latest figures showing that there are no less than 22,000,000,000 1-cent, ten cash pieces in circulation or 62 coins per head of population roughly twenty-five millions sterling in value, or 160,000 tons of copper!
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