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It will be recalled that the Greeks used letters for numerals, and, having no cipher, they soon found themselves in difficulties when large numbers were involved. The Roman system of numerals simplified the matter somewhat, but the beautiful simplicity of the decimal system did not come into vogue until the Middle Ages, as we shall see.

There was no special subject now which stirred him to eagerness and brought upon herself explanations which were tedious and unintelligible to her, but evidently delightful to him. There were no quints or semi-tenths now, no aspirations for decimal perfection, no delightfully fatiguing hours spent in the manipulation of the multiplication table.

Or, if we take the world of geometrical relations, the thousandth decimal of 'pi' sleeps there, tho no one may ever try to compute it. Or, if we take the universe of 'fitting, countless coats 'fit' backs, and countless boots 'fit' feet, on which they are not practically FITTED; countless stones 'fit' gaps in walls into which no one seeks to fit them actually.

I. XIII. Etrusco-Attic and Latino-Sicilian Commerce I. XII. Nature of the Roman Gods I. XIV. Decimal System

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.

N. B. Shurtleff's "Decimal system for the arrangement and administration of libraries," published at Boston in 1856. But in its present form it has been developed by Mr.

There is something in the simplicity of a decimal coinage which is revolting to the human mind; thus the French, in small affairs, reckon strictly by halfpence; and you have to solve, by a spasm of mental arithmetic, such posers as thirty-two, forty-five, or even a hundred halfpence.

This difficulty, however, ought not to be deemed insuperable. The boon given to society by the decimal system is worth struggling for. On this account, it appears highly desirable that the people at large should be made thoroughly acquainted with its principles, and be able to weigh the advantages against the difficulties of such a change.

Regarding it as important, however, that great deference should be paid to existing circumstances, and that the present relative notions of value, so deeply rooted in the public mind, should be disturbed as little as possible, they pointed out the facilities existing in our present coinage for a re-arrangement on the decimal plan.

These must of necessity be irregular in form; but so unerringly accurate are the dimensions of the second and third types that, at the time when the decimal system was established, and a fixed measure sought in nature to serve as a starting-point and an incontestable standard, it was proposed by Reaumur to select for this purpose the cell of the bee.*