DECIMAL SYSTEM OF WEIGHTS AND MEASURES.

The state of our national weights and measures has been a fertile

subject of legislative enactment ever since the signing of the Magna

Charta, which proclaims that 'there shall be one weight and one

measure.' 'We will and establish,' said an act of Edward III. nearly

500 years ago, 'that one weight, one measure, and one yard, be used

throughout the land.' Act has followed act from that time to this, and

still we have not only different weights and measures for different

commodities, but for the same in different parts of the realm. An

ounce means one thing to the grocer, another to the apothecary. A

stone is 8 pounds to the London butcher or fishmonger, 14 to the

provincial; 5 pounds to the dealer in glass, 16 to the cheesemonger,

and 32 to the dealer in hemp. The corn-trade exhibits still greater

varieties. Prices are quoted in official circulars in every fashion,

from the Mark-Lane quarter to the Scotch boll, the firlot, the load

(which may be of various dimensions), the coomb, the last, the barrel

(which also may be various), the ton, the hundredweight, and the

pound. We have seen an extract from an actual account-sales, by which

it appeared, that at the same port the merchant had sold a cargo of

foreign wheat by five different bushels according to the customs of

the buyers. In paying the duty, these various bushels had to be

converted into imperial quarters, and in calculating tonnage and other

dues, it was necessary to reduce all to tons! Here is surely a source

of endless confusion, if not an opening for fraud. Our legislature has

gone on from century to century, mending or mutilating the statutes as

the case might be, but laying down no principles scientific enough to

command the approval of the educated, or simple enough to prevail over

the established usages of the commonalty.

Our neighbours in France, who are particularly fond of framing

theories and experimenting on them for the edification of other

nations, availed themselves of the general upturning of affairs in

1789, to introduce a universal decimal system, to be applied to

everything whatever that could be counted, weighed, or measured. 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. This they called a

mètre (measure), and to it, as a unit, they prefixed the Greek

numerals to express increase in the decimal ratio; thus decamètres,

tens of meters; hectamètres, hundreds of meters; and so on. 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. The unit adopted for square

measure was the _are_, equal to 100 square meters; for solid measure,

the _stère_, equal to one cubic meter; and for measure of capacity,

the _litre_, a cubic decimeter. The weights were derived from these

measures; the _gramme_ being the weight of one cubic centimeter of

distilled water. The system of decimal gradation was applied to all of

these; that is, each denomination represented a tenth part of the one

above it, and ten times as much as the one next below it, the Latin

and Greek numerals being prefixed as we have already described with

reference to the meter. In conformity with this decimal law, the

quadrant was divided, for astronomical purposes, into 100 degrees

instead of 90; and the thermometer likewise into 100 degrees from the

boiling to the freezing point. At the same time, a system of reckoning

money by tens was introduced; and it must be owned, that the whole

system of computation in weights, measures, and money established in

France at this period, is one of the greatest triumphs of

civilisation. In ordinary transactions, old denominations of money are

still used by the French; the _sous_, in particular, being apparently

ineradicable. But in book-keeping, the furnishing of accounts, and in

literature, the modern and legal standards are invariably adhered to.

About thirty years ago, the Americans took it into serious

consideration whether they should adopt the ready-made scale of France

entire. On that occasion (1821), Mr John Quincy Adams produced a most

elaborate report to Congress, containing an immense amount of

information on the subject of metrology. He found great fault with the

French nomenclature, so puzzling to the unlearned. 'Give the people,'

said he, 'but their accustomed _words_, and they will call 16 a dozen;

120, 112, or any other number, a hundred.' He disapproved, likewise,

of thrusting the decimal principle upon things incompatible with it.

'Decimal arithmetic,' said he, 'is a contrivance of man for computing

numbers, and not a property of time, space, or matter. It belongs

essentially to the keeping of accounts, but is merely an incident to

the transactions of trade. Nature has no partiality for the number 10;

and the attempt to shackle her freedom with them [decimal gradations],

will for ever prove abortive.' And again: 'To the mensuration of the

surface and the solid, the number 10 is of little more use than any

other. If decimal arithmetic is incompetent to give the dimensions of

most artificial forms, the square and the cube, still more incompetent

is it to give the circumference, the area, and the contents of the

circle and the sphere.' And once more: 'The new metrology of France,

after trying the principle of decimal division in its almost universal

application, has been compelled to renounce it for all the measures of

astronomy, geography, navigation, time, the circle, and the sphere; to

modify it even for superficial and cubical linear measure.' The

conclusion of the Americans was, that it was better to continue the

use of the system of weights and measures inherited from the

father-land. Partly on account of our intimate commercial relations

with them, they are content to wait, and allow us to take the lead in

the work of reform.

Taking our stand on the ground of mere practical utility, according to

the views suggested, we do not advocate any interference with the

foot, the rood, the acre, the mile, which would lead to the removal of

old landmarks, and would render almost every chart and map and book in

the country obsolete. But we suggest that the time has arrived when

our national weights and measures may be finally adjusted on simple

and scientific principles. Within the last thirty years, a principle

that goes far towards clearing our way has been laid down, and in part

carried into practice. By an act of the British legislature, which

came into operation on the 1st January 1826, our standards were

accurately adjusted, and certain rules were laid down, by which they

could be restored if lost; while the uniform use of these in the

business of the country was strictly enjoined. The imperial yard,

which is the basis of the whole, is to be found in the following

manner:--'Take a pendulum, vibrating seconds of time, in the latitude

of London, in vacuum and at the level of the sea; divide all that part

thereof which lies between the axis of suspension and the centre of

oscillation into 391,393 equal parts; then will 10,000 of these parts

be an imperial inch, 12 whereof make a foot, and 36 whereof make a

yard.' All other measures of linear extension are to be computed from

this. Thus, 'the foot, the inch, the pole, the furlong, and the mile,

shall bear the same proportion to the imperial standard yard as they

have hitherto borne to the yard measure in general use.' For the

determination of weights, take a cube of an imperial inch of distilled

water at 62 degrees Fahrenheit; let this be weighed with any weight,

and let such weight be divided into 252,458 equal parts; then will a

thousand of such parts be a _troy_ grain, of which 5760 make a pound

troy, and 7000 a pound avoirdupois.

'This troy-weight,' said the commissioners, 'appeared to us to be the

ancient weight of this kingdom, having existed in the same state from

the time of Edward the Confessor.' 'We were induced, moreover,' said

they, 'to preserve the troy-weight, because all the coinage has been

uniformly regulated by it, and all medical prescriptions and formulæ

have always been estimated by troy-weight, under a peculiar

subdivision which the college of physicians have expressed themselves

most anxious to preserve.' It was resolved, therefore, to continue the

use of troy-weight for drugs, bullion, &c. and to raise the

avoirdupois on its basis. The commissioners went on to say: 'The

avoirdupois pound, by which all heavy goods have been for a long time

weighed, seems not to have been preserved with such scrupulous

accuracy as the troy, by which more precious articles have been

weighed;' but it was so nearly equivalent to 7000 grains troy, that

they determined this should be its standard for the future. Measures

of capacity were to be based upon this weight, and not, as heretofore,

on cubic inches. Ten lbs. avoirdupois of distilled water weighed in

air at the temperature of 62 degrees Fahrenheit, and the barometer at

30 inches, were henceforth to determine the imperial gallon, to the

utter abolition of three distinct gallons for wine, ale, and corn,

based respectively on the specific bulk and gravity of Bordeaux wine,

English ale, and grains of wheat. All other measures were to be taken

in parts or multiples of the said imperial standard gallon, according

to the proportions hitherto in use. A great reform in this connection,

was the obligation of dealers to sell most solid commodities--as coal,

bread, potatoes, &c.--by weight and not by measure, which had been

liable to great abuses. Corn, however, was not included in this

provision; nor has even the use of the imperial bushel been

universally enforced where it interfered with the long-established

usages of corporate bodies.

To carry thus far into effect these newly-established measures,

required no common exercise of authority. Every dealer, wholesale or

retail, was obliged to have his weights verified and stamped. The

brewer was compelled to get new casks; the retailer new pots and

pints; the farmer new bushels, and, consequently, new corn-sacks. The

expense thus incurred was enormous, and the grumbling was of course in

due proportion.

It is believed that the units above mentioned--the yard, the pound

avoirdupois, and the imperial gallon--cannot now be superseded by any

other. It remains to shew, as Mr Taylor has very satisfactorily

done,[1] how that which has been well begun may be followed out and

completed by the establishment of more complete uniformity, and the

legalisation of decimal gradations for facilitating calculation.

The two co-existing pounds originally adjusted in relation to the

specific gravities of wheat and spring-water, are now the sole remains

and representatives of a fanciful theory spun in the middle ages; and

the first question that occurs is, whether the pound troy, having

served its purpose, might not be done away with, and the pound

avoirdupois ascertained by reference to a cubic inch of distilled

water. We were told forty years ago, that for the introduction of a

uniform and scientific system, we must wait for the spread of

education in the community; and we feel somewhat ashamed now to find

that the members of the medical profession, which is understood to be

one of the most highly-educated bodies, offer the most formidable

opposition to reformation in this respect. 'The testimony, however,'

says Mr Taylor, 'of many individuals of the medical profession,

especially the younger portion, and certainly that of the retailers

and dispensers of drugs, tends entirely to shew the practicability of

a beneficial and convenient change. With all these, there appears no

more serious difficulty to encounter than that involved in altered

editions of their usual dispensatories, or books of reference'--an

amount of trouble and expense, we should say, not greater, certainly,

in proportion to the position of the parties concerned, than that

which was forced on the poor chandlers and milkwomen by the act of

1826.

Then, to adapt the avoirdupois pound to the further objects in view,

it must be reconstructed as to its divisional parts. In order to this,

it is not necessary that the nomenclature should be changed, or that

our poor people should be puzzled with the _decas_, and _hexas_, and

_millias_ which has formed the greatest practical difficulty in the

decimal system of France. It is proposed simply to divide the pound

avoirdupois into 10,000 parts instead of 7000, and to employ names at

present in use for the minor denominations; but if it be thought

incongruous to retain the term _grain_, which had reference to the

weight of wheat or barley, _minim_ might be substituted. Then the

multiples of the pound, which have hitherto been so various, are to be

decimally graduated--as, stones of 10 lbs., cwts. of 10 stone (or,

literally, 100 lbs.), and tons of 10 cwt. 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. In France, the

government was obliged to relax its decimal principles in favour of

permitting a partial return to the binary mode of subdivision. Mr

Adams, who is high authority on such a point, avers that such

divisions are 'as necessary to the practical use of weights and

measures, as the decimal divisions are convenient for calculations

resulting from them.' If this be admitted, almost the only change to

retailers of ordinary commodities would be the introduction of the new

ounce weight, altered to the tenth of a pound, with price in

correspondence; and perhaps the fluid pound, or tenth of a gallon. If,

however, the latter were likely to be generally used by the masses, it

would be desirable that it should bear a more familiar name. But

probably it would be little known, except as the highest denomination

generally used by the apothecary; in which case the nomenclature would

be all the better for expressing the value of the measure

scientifically in relation to distilled water, as is now usually done

by this class.

It is easy to shew the practical advantages that would result in

mercantile calculations if such a scale were adopted, and especially

in connection with the decimal system of money advocated in a former

number of this Journal.[2] If a parcel of goods weighs 13 cwt., 7

stone, 8 lbs., and it be desired to know how many pounds it contains,

it is unnecessary to change a single figure to shew that there are

1378; an additional cipher gives the number of ounces (137,80);

another the number of drachms (137,800), instead of requiring the

present tedious process of reduction. Again: if any commodity costs,

for instance, 2 fl. 3 cents per lb., we know without taking up a pen

that it is 2 cents 3 mil. per ounce; that it is L.2, 3 fl. per stone;

L.23 per cwt.; L.230 per ton; and so on. Here is a cargo--no matter of

what--weighing 374 tons, 7 cwt. 4 st. If the value is, for instance,

L.2, 3s. per ton, we have but to multiply the figures 37474 by 23, and

_point_ the amount thus--L.861.9.0.2. If, however, the price be L.2,

3s. per cwt., the point after the pounds, which is the only essential

one, must be removed a step further to the right--thus, L.8619.0.2;

and if L.2, 3s. per stone, it will be L.86190.2. Let any one try the

difference between these operations and similar calculations according

to our present system, and he will confess it is no mean advantage

that the advocates of decimal gradations are seeking to obtain for the

community.

We are happy to add, that since our article on Decimal Coinage

appeared, we have received numerous communications on the subject; and

while there are minor differences of opinion as to the details, there

appears to be perfect unanimity as to the desirableness of the system,

and the possibility of bringing it into general use.

Chambers's Edinburgh Journal, No. 437 Volume 17, New Series, May 15, 1852 · 第 7 / 13 题