Home1842 Edition

NUMBERS

Volume 16 · 1,107 words · 1842 Edition

in POETRY AND ORATORY, are certain measures, proportions, or cadences, which render a verse, period, or song agreeable to the ear.

Poetical numbers consist in a certain harmony in the order, quantities, and adjustment of the feet and syllables which render the piece musical to the ear, and capable of being sung; for which all the verses of the ancients were intended. It is of these numbers Virgil speaks in his ninth Eclogue, when he makes Lycidas say, Numeros memini, si verba tenerent map; meaning, that although he had forgotten the words of the verses, yet he remembered the feet and measure of which they were composed.

Rhetorical or prosaic numbers are a sort of simple unaffected harmony, less glaring than that of verse, but such as is perceived and affects the mind with pleasure.

Book of NUMBERS, the fourth book of the Pentateuch, taking its denomination from the numbering of the families of Israel. A part of this book is historical, relating to several remarkable passages in the march of the Israelites through the wilderness. It contains a distinct relation of their several movements from one place to another, or their forty-two stages through the wilderness, and many other things, by which we are instructed and confirmed in some of the most weighty truths which have immediate reference to God and his providence in the world. But the greater part of this book is occupied in enumerating those laws and ordinances, whether civil or ceremonial, which were given by God, but not mentioned before in the preceding books.

NUMERAL LETTERS are those letters of the alphabet which are generally used for figures, as I, one; V, five; X, ten; L, fifty; C, a hundred; D, five hundred; M, a thousand; and so on. It is not agreed how the Roman numerals originally received their value. It has been supposed, as we have observed in the article NUMBER, that the Romans used M to denote 1000, because it is the first letter of mille, which is the Latin word for 1000; and C to denote 100, because it is the first letter of centum, which in Latin means 100. It has also been supposed that D, being formed by dividing the old M in the middle, was therefore appointed to stand for 500, that is, half as much as the M stood for when it was whole; and that L, being half a C, originally written L, was for the same reason used to denominate fifty. But what reason is there to suppose that 1000 and 100 were the numbers which letters were first used to express? And what reason can be assigned why D, the first letter in the Latin word decrem, ten, should not rather have been chosen to stand for that number than for 500, because it had a rude resemblance to half an M? But if these questions could be satisfactorily answered, there are other numeral letters which have never yet been accounted for at all. These considerations render it probable that the Romans did not, in their original intention, employ letters to express numbers at all. The most natural account of the matter seems to be this: The Romans probably put down a single stroke, I, for one, as is still the practice of those who score upon a slate or with chalk. This stroke, I, they doubled, trebled, and quadrupled, to express 2, 3, and 4; thus, II., III., IIII. So far they could easily number the strokes with a glance of the eye. But they presently found that if more were added it would soon be necessary to tell the strokes one by one. For this reason, then, when they came to 5, they expressed it by joining two strokes together in an acute angle, thus, V; which will appear the more probable, if it be considered that the progression of the Roman numbers is from 5 to 5, that is, from the fingers on one hand to the fingers on the other. Ovid has touched upon the original of this in his Fasti (lib. iii.), and Vitruvius has made a similar remark.

After they had made this acute angle V for five, they added the single strokes to it to the number of four, thus VI., VII., VIII., VIII., and then, as the strokes could not be further multiplied without confusion, they doubled their acute angle by prolonging the two lines beyond their intersection, thus, X, to denote two fives, or ten. After this they doubled, trebled, and quadrupled this double acute angle thus, XX., XXX., XXXX.; they then, for the same reason which induced them first to make a single and then to double it, joined two single strokes in another form, and instead of an acute angle, made a right angle, L, to denote fifty. When this fifty was doubled, they then doubled the right angle thus, E, to denote 100; and having numbered this double right angle four times, thus, EE, EEEE, when they came to the fifth number, as before, they reverted it, and put a single stroke before it thus I, to denote 500; and when this 500 was doubled, then they also doubled their double right angle, setting two double right angles opposite to each other, with a single stroke between them, thus, LXXX., to denote 1000. When this note for 1000 had been four times repeated, then they put down LXXXI. for 5000, LXXXII. for 10,000, and LXXXIII. for 50,000, and LXXXIX.I for 100,000, LX.XI. for 500,000, and LX.XI.XX.IXX. for one million.

That the Romans did not originally write M for 1000, and C for 100, but square characters, as they are represented above, we are expressly informed by Paulus Manutius; but the corners of the angles being cut off by the transcribers for despatch, these figures were gradually brought into what are now numeral letters. When the corners of LXXX were made round, it stood thus CLXXX, which is so near the Gothic α, that it soon deviated into that letter; so CL having the corners rounded, stood thus, CXXX, and then easily deviated into D. L also became a plain C by the same means; the single rectangle which denoted fifty was, without alteration, a capital L; the double acute angle was an X; the single acute angle a V consontant; and a plain single stroke the letter I; and thus these seven letters, M, D, C, L, X, V, I, became numerals.

NUMERAL Characters of the Arabs are those figures which are now used in all the operations of arithmetic in every nation in Europe. See the article ARITHMETIC.