THE METRIC SYSTEM OF WEIGHTS AND MEASURES.

SPEECH IN THE SENATE, ON TWO BILLS AND A JOINT RESOLUTION RELATING TO

THE METRIC SYSTEM, JULY 27, 1866.

May 18th, Mr. Sumner moved the appointment by the Chair of a

special committee of five, to which all bills and measures

relating to the metric system should be referred; and the

motion was agreed to.

May 23d, the Chair appointed Mr. Sumner, Mr. Sherman, of Ohio,

Mr. Morgan, of New York, Mr. Nesmith, of Oregon, and Mr.

Guthrie, of Kentucky. Two bills and a joint resolution which

had passed the House of Representatives were referred to the

committee, and July 16th reported to the Senate by Mr. Sumner,

with the recommendation that they pass, namely:--

“A Bill to authorize the use of the metric system of

weights and measures.”

“A Joint Resolution to enable the Secretary of the Treasury

to furnish to each State one set of the standard weights

and measures of the metric system.”

“A Bill to authorize the use in post-offices of weights of

the denomination of grams.”

July 27th, on motion of Mr. Sumner, these were taken up and

passed.

MR. PRESIDENT,--At another time I might be induced to go into this

question at some length; but now, in these latter days of a weary

session, and under these heats, I feel that I must be brief. And yet

I could not pardon myself, if I did not undertake, even at this time,

to present a plain and simple account of the great change which is now

proposed.

There is something captivating in the idea of weights and measures

common to all the civilized world, so that, in this at least, the

confusion of Babel may be overcome. Kindred is that other idea of one

money; and both are forerunners, perhaps, of the grander idea of one

language for all the civilized world. Philosophy does not despair of

this triumph at some distant day; but a common system of weights and

measures and a common system of money are already within the sphere of

actual legislation. The work has already begun; and it cannot cease

until the great object is accomplished.

If the United States come tardily into the circle of nations

recognizing a common system of weights and measures, I confess that

I have pleasure in recalling the historic fact that at a very early

day this important subject was commended to Congress. Washington, in

a speech to the First Congress, touched the key-note, when he used

the word “uniformity” in connection with this subject. “Uniformity,”

he said, “in the currency, weights, and measures of the United States

is an object of great importance, and will, I am persuaded, be duly

attended to.”[51] Then again in a speech to the next Congress he went

further, in expressing a desire for “a standard at once _invariable and

universal_.”[52] Here he foreshadowed a system common to the civilized

world. It is for us now to recognize the standard he thus sententiously

described. All hail to a standard “invariable and universal”!

I shall not occupy time in developing the history of these efforts

on the part of our Government; but I cannot forbear mentioning that

Mr. Jefferson, while Secretary of State, made an elaborate report,

where he proposed “reducing every branch to the same decimal ratio

already established in the coins, and thus bringing the calculation

of the principal affairs of life within the arithmetic of every man

who can multiply and divide plain numbers.”[53] Here is an essential

element in the common system we seek to establish. This was in 1790,

when France was just beginning those efforts which ended at last in

the establishment of the metric system. The subject was revived at

different times in Congress without definite result. President Madison,

in his annual message of 1816, called attention to it in the following

words:--

“The great utility of a standard _fixed in its nature

and founded on the easy rule of decimal proportions_ is

sufficiently obvious. It led the Government at an early stage

to preparatory steps for introducing it; and a completion of

the work will be a just title to the public gratitude.”[54]

Out of this recommendation originated that call of the Senate which

drew forth the masterly report of John Quincy Adams on the whole

subject of weights and measures, where learning, philosophy, and

prophetic aspiration vie with each other. After reviewing whatever had

appeared in the past, and subjecting it all to careful examination, he

says of the French metric system, then only an experiment:--

“This system approaches to the ideal perfection of uniformity

applied to weights and measures, and, whether destined to

succeed or doomed to fail, will shed unfading glory upon the

age in which it was conceived and upon the nation by which its

execution was attempted and has been in part achieved.”[55]

This was in 1821, when the metric system, already invented, was still

struggling for adoption in France.

This brief sketch shows how from the beginning the National Government

has been looking to a system common to the civilized world. And now

this aspiration seems about to be fulfilled. The bills before you have

already passed the other House; if they become laws, as I trust, they

will be the practical commencement of the “new order.”

* * * * *

Before proceeding to explain the proposed system, let me exhibit for

one moment the necessity of change, as illustrated by weights and

measures in the past.

Language is coeval with man as a social being. Weights and measures are

hardly less early in origin. They are essential to the operations of

society, and are naturally common to all who belong to the same social

circle. At the beginning, each people had a system of its own; but as

nations gradually intermingle and distant places are brought together

by the attractions of commerce, the system of one nation becomes

inadequate to the necessities of the composite body. A common system

becomes important just in proportion to the community of interests.

Next to diversity of languages, discordant weights and measures attest

the insulation of nations.

The earliest measures were derived from the several parts of the

human body. Such was the cubit, which was the distance between the

elbow and the end of the middle finger, being about twenty-two inches.

Such also were the foot, the hand, the span, the nail, and the thumb.

These measures were derived from Nature, and they were to be found

wherever a human being existed. But they partook of the uncertainty in

the proportions of the human form. When Selden, in his “Table-Talk,”

wittily likened Equity, so far as it depended on the Chancellor, to a

measure determined by the length of the Chancellor’s foot, he exposed

not only the uncertainty of Equity, but also the uncertainty of such a

measure.

Even in Greece, where Art prevailed in the most beautiful forms, the

famous _stadium_ was none the less uncertain. It was the distance that

Hercules could run without taking breath, being six hundred times the

length of his foot.

Our own standards, derived from England, are of an equally fanciful

character. The unit of _length_ is the barley-corn, taken from the

middle of the ear and well dried. Three of these in a straight line

make an inch. The unit of _weight_ is a grain of wheat, taken, like

the barley-corn, from the middle of the ear and well dried. Of these,

twenty-four are equal to a pennyweight. Twenty pennyweights make an

ounce, and twelve ounces make a pound. The unit of _capacity_ is

derived from the weight of grains of wheat. Eight pounds of these make

one gallon of wine measure.

Nor are the extreme vagueness and instability of these standards the

only surprise. There is no principle of science or convenience in the

progression of the different series. Thus we have two pints to a quart,

three scruples to a dram, four quarts to a gallon, five quarters to

an ell, five and a half yards to a perch, six feet to a fathom, eight

furlongs to a mile, twelve inches to a foot, sixteen ounces to a pound,

twenty units to a score.

Then, as if the only ruling principle governing the selection were

discord, we have different measures bearing the same name, such as the

wine pint and the dry pint, the ounce Troy and the ounce avoirdupois.

Take these last two measures as illustrating the prevailing confusion.

Both seem to come from France. The Troy weight is supposed to derive

its name from the French town of Troyes, where a celebrated fair was

once held. The term “avoirdupois” is French, and seems to have been

part of a statute which declared how weights should be determined. But

Troy and avoirdupois are different measures.

These measures, having constant differences, had accidental

differences also, in different parts of England, and also in different

parts of our own country. Even where the names are alike, the measures

are often unlike. In England the diversity was almost infinite, so that

these same measures differed in different counties, and sometimes in

different towns of the same county. Latterly in the United States the

standard has been regulated by law, but the confusion from the measures

still continues. The question naturally arises, why such confusion has

been allowed so long without correction. The answer is easy. Except

in rare instances, the triumphs of science are slow and gradual.

Traditional prejudice must be overcome. Each nation is attached to its

own imperfect system, as to its own language. Even though inferior

to another, it has the great advantage of being known to the people

that use it. To this constant impediment it is proper to add the

intrinsic difficulty of establishing a uniform system of weights and

measures which shall satisfy the demands of civilization in scientific

precision, in immediate practical applicability, and in nomenclature.

Take, for instance, the application of the decimal system, which

seems at first sight simple and complete. It is unquestionably

an immense improvement on the old confusion; but even here we

encounter a difficulty in the circumstance, long since recognized

by mathematicians, that our scale of decimal arithmetic is more the

child of chance than of philosophy. I know not if any better reason

can be given for its adoption than because man has everywhere reckoned

by his ten fingers. On this account it is often called “natural.”

But, considering whether the number _ten_ possesses any intrinsic

excellence, convenience, or fitness, as a ratio of progression, good

authorities have answered in the negative. It is the duplication of

an odd number, which can furnish neither a square nor a cube, and

which cannot be halved without departure from the decimal scale. In

this scale we seem to see always those early days when “wild in woods

the noble savage ran,” and for arithmetic used fingers or toes. An

_octaval_ system, founded on the number eight, would have been better

adapted to the divisions of material things. Among us the decimal

system is adopted for money; but you all know that we are not able

to carry it into rigid practice. Thus convenience, if not necessity,

requires the half-dollar, the quarter-dollar, the half-dime, and the

three-cent piece. In fact, eight divisions to the dollar, as prevailed

in Spain, are more available in the business of life than the decimal

division. The number _eight_ is capable of indefinite bisection. The

progression beginning with two would proceed to four, eight, sixteen,

thirty-two, sixty-four, and so on.

The decimal scale is made easy of use by the happy system of notation

borrowed from the Hindoos, which might be applied equally well to an

octaval scale; but at this time it would be vain to propose a change in

the radix of the numerical scale. The number _ten_ is the recognized

starting-point, and gives its name to the scale. It only remains for us

at present to follow other nations in applying it to an improved system

of weights and measures.

* * * * *

A system of weights and measures born of philosophy, rather than of

chance, is what we now seek. To this end old systems must be abandoned.

A chance system cannot be universal: science is universal; therefore

what is produced by science may find a home everywhere. If we consider

the proper elements or characteristics of such a system, we find at

least three essential conditions. First, the new system must have in

itself the assurance of unvarying stability, and, to this end, it

should be derived from some standard in Nature by which to correct

errors creeping into the weights and measures from time or imperfect

manufacture. Secondly, the parts should be divided decimally, as nearly

as practice will warrant, in conformity with our arithmetic. Thirdly,

it should be such as to disturb national prejudices as little as

possible.

To a common observer the difficulties of finding an unvarying standard

are not readily apparent. But philosophy shows that all things in

Nature are undergoing change; so that there would seem to be no

invariable magnitude, the same in all countries and in all times, as

Cicero pictured the great principles of Natural Law,[56] by which

a lost standard on an inaccessible island might be reproduced with

mathematical certainty. There is but one magnitude in Nature which, so

far as we know, approximates to these requisites. I refer to the length

of the pendulum vibrating seconds, which in our latitude is about 39.1

inches. This length, however, varies in travelling from the equator to

the pole, and it also varies slightly under different meridians and

the same latitude; but the law of variation has been determined with

considerable accuracy. One element in this variation is the difference

of temperature. In his report on weights and measures, Mr. Jefferson

proposed that we should find our standard in the pendulum. At the same

time, the French Government, just struggling to throw off ancestral

institutions, conceived the idea of a new system, which, founded in

science, should be common to the civilized world.

The French began not only by discarding old systems, but also by

discarding a measure derived from the pendulum. They conceived the

idea of measuring an arc of the earth’s meridian, and finding a new

unit in a subdivision of this immense span. The work was undertaken.

An arc of the meridian, embracing upward of nine degrees of latitude,

and extending from Dunkirk, in France, to the Mediterranean, near

Barcelona, in Spain, was measured with scientific care. Illustrious

names in French science, Méchain and Delambre, were engaged in the

work, which proceeded, notwithstanding domestic convulsion and foreign

war. The Reign of Terror at home and invasion from abroad did not

arrest it. Seven years elapsed before the measurements were completed,

when other nations were invited to coöperate in the establishment of

the new system.

The unit of measure was one ten-millionth part of the distance between

the equator and the north pole thus measured. It received the name

of _metre_, from the Greek, signifying _measure_. A bar of platinum,

representing this length, was prepared with all possible accuracy. This

bar was deposited in the archives of France as the perpetual standard.

Other bars have been copied from it and distributed throughout France

and in foreign countries.

There is something transcendental in the idea of this measurement of

the earth in order to find a measure for daily life. It was an immense

undertaking. But the conception seems to have been vast rather than

practical. There is reason to believe, from later labors, that there

was a serious error in the work. Thus, the distance of 10,000,000

metres from the equator to the north pole, established by the French

observers, is too small by 935 yards, according to Bessel,--by 1,410

yards, according to Puissant,--and by 1,967 yards, according to

Chazallon. Sir John Herschell also testifies with the authority of his

great name against the accuracy of this result. If there be an error

such as is supposed, then the metre ceases to be what it was called

originally, one ten-millionth part of the distance from the equator to

the north pole.

Even assuming that there is no error, and that the metre is precisely

what it purports to be, yet it is not easy to see how the artificial

standard can be corrected by recurrence to the standard in Nature.

The massive work originally undertaken will not be repeated. The

astronomers of France will not verify the accuracy of the bar of

platinum, which is the artificial standard, by another scientific

enterprise, requiring years for completion. Therefore, for all

practical purposes, the metre is really nothing else than a bar of

platinum with a certain length preserved in the archives of France. It

is not less arbitrary as a standard than the yard or foot, and it can

be perpetuated in practice only by distribution of exact copies from

the original bar, which is the assumed metre.

I have thus explained the origin and character of the metre, because I

desire that the admirable system founded on it should be seen actually

as it is. To my mind, it gains nothing from the theory which presided

at its origin. Its unit is not to be regarded as a certain portion

of the distance between the equator and the north pole, but as an

artificial measure determined with peculiar care. Had the same or any

other unit been selected without measurement of the earth, the metric

system would not have been less beautiful or perfect.

* * * * *

Look now at the system. The metre, which is assumed to be one

ten-millionth part of the distance from the equator to the pole, is,

in fact, 39⅓ inches, or 39.37 inches, in length. It is especially

the unit of _length_; but it is also the unit from which are derived

all measures of weight and capacity, square or cubic. It is at once

foundation-stone and cap-stone. It is foundation-stone to all in the

ascending series, and cap-stone to all in the descending series.

The unit of _surface measure_, or land measure, is the _are_, from the

Latin _area_, and is the square of ten metres, or, in other words, a

square of which each side is ten metres in length.

The unit of _solid measure_ is the _stere_, from the Greek, and is the

cube of a metre, or, in other words, a solid mass one metre long, one

metre broad, and one metre high.

The unit of _liquid measure_ is the _litre_, from the Greek, and is the

cube of the tenth part of the metre, which is the _decimetre_; or, in

other words, it is a vessel where by interior measurement each side and

the bottom are square _decimetres_.

The unit of _weight_ is the _gram_, also derived from the Greek,

and is the one-thousandth part of the weight of a cubic litre of

distilled water at its greatest density,--this being just above the

freezing-point.

Such are main elements of the metric system. But each of these has

multiples and subdivisions. It is multiplied decimally upward, and

divided decimally downward. The multiples are from the Greek. Thus,

_deca_, ten, _hecto_, hundred, _kilo_, thousand, and _myria_, ten

thousand, prefixed to _metre_, signify ten metres, one hundred metres,

one thousand metres, and ten thousand metres. The subdivisions are from

the Latin. Thus, _deci_, _centi_, _milli_, prefixed to _metre_, signify

one tenth, one hundredth, and one thousandth of a metre. All this

appears in the following table.

Metric Denominations and Equivalents in Denominations

Values. in use.

Myriametre, 10,000 metres, 6.2137 miles.

Kilometre, 1,000 metres, .62137 mile, or 3,280 feet and 10 inches.

Hectometre, 100 metres, 328 feet and 1 inch.

Decametre, 10 metres, 393.7 inches.

METRE, 1 metre, 39.37 inches.

Decimetre, ⅒ of a metre, 3.937 inches.

Centimetre, ¹⁄₁₀₀ of a metre, .3937 inch.

Millimetre, ¹⁄₁₀₀₀ of a metre, .0394 inch.

These same prefixes may be applied in ascending and descending scales

to the are, the litre, and the gram. Thus, for example, we have

in the ascending scale, _deca_gram, _hecto_gram, _kilo_gram, and

_myria_gram,--and in the descending scale, _deci_gram, _centi_gram,

_milli_gram.

In this brief space you behold the whole metric system of weights

and measures. What a contrast to the anterior confusion! A boy at

school can master the metric system in an afternoon. Months, if not

years, are required to store away the perplexities, incongruities, and

inconsistencies of the existing weights and measures, and then memory

must often fail in reproducing them. The mystery of compound arithmetic

is essential in the calculations they require. All this is done away by

the decimal progression, so that the first four rules of arithmetic are

ample for the pupil.

Looking closely at the metric system, we must confess its simplicity

and symmetry. Like every creation of science, it is according to rule.

Master the rule and you master the system. On this account it may

be acquired by the young with comparative facility, and, when once

acquired, it may be used with despatch. Thus it becomes labor-saving

and time-saving. Among its merits I cannot hesitate to mention the

nomenclature. A superficial criticism has objected to the Greek and

Latin prefixes; but this forgets that a system intended for universal

adoption must discard all local or national terms. The prefixes

employed are equally intelligible in all countries. They are no more

French than English or German. They are common, or cosmopolitan,

and in all countries they are equally suggestive in disclosing the

denomination of the measure. They combine the peculiar advantages of

a universal name and a definition. The name instantly suggests the

measure with exquisite precision. If these words seem scholastic or

pedantic, you must bear this for the sake of their universality and

defining power.

Unquestionably it is difficult for one generation to substitute a

new system for that learned in childhood. Even in France the metric

system was tardily adopted. Napoleon himself, on one occasion, said

impatiently to an engineer who answered his inquiry in metres, “What

are metres? Tell me in _toises_.” It was only in 1840 that the system

was definitely required in the transaction of business. Since then it

has been the legal system of France. Cloth is sold by the metre; roads

are measured by the kilometre; meat is sold by the kilogram, or, as it

is familiarly abridged, by so many _kilos_.

It is generally admitted that the names are too long, although nobody

has been able to suggest substitutes, unless we regard the various

abridgments in that light. But no abridgment should be allowed to

sacrifice the cosmopolitan character which belongs to the system. Thus,

in England a nomenclature is proposed which would secure short names;

but these would be different in each language, and entirely different

from the French names. This is a mistake. The names in all languages

should be identical, or so nearly alike as to be recognized at once.

This may be accomplished by an abbreviated nomenclature.

For instance, we may say _met_, _ar_, _lit_, and _gram_; and, in

describing the denomination, we may say, in the ascending scale,

_dec_, _hec_, _kil_, and in the descending scale, _dec_, _cen_, and

_mil_,--indicating respectively 10, 100, 1000, and ⅒, ¹⁄₁₀₀ and ¹⁄₁₀₀₀.

Compounding these, we should have, for example, _kilmet_, _killit_,

_kilgram_, and _cenmet_, _cenlit_, _cengram_. These abbreviations

might be substantially the same in all languages. They would preserve

the characteristics of the unabridged terms, so that the simple

mention of the measure, even in this abridged form, would disclose the

proportion it bears to its fellow-measures. Previous measures have been

represented by monosyllables, as grain, dram, gross, ounce, pound,

stone, ton. Where a word is often repeated, in the hurry of business,

it is instinctively abridged. We shall not err, if we profit by this

experience, and seek to reduce the new nomenclature to its smallest

proportions.

Twelve words only are required by this system. Learning these, you

learn all. There are five designating the different units of length,

surface, solid capacity, liquid capacity, and weight. Then there are

the seven prefixes, being four in the ascending scale, expressing

_multiples_, or augmentations, of the metre or other units, derived

from the Greek, and three in the descending scale, expressing

subdivisions, or diminutions, of the metre and other units, derived

from the Latin. These twelve words contain the whole system.

In closing this chapter on the unquestionable advantages of the metric

system, I must not forget that it is already the received system in the

majority of countries. At the Statistical Congress assembled at Berlin

in 1863, it appeared that it was adopted partly or entirely in Austria,

Baden, Bavaria, Belgium, France, Hamburg, Hanover, Hesse, Mecklenburg,

the Netherlands, Parma, Portugal, Sardinia, Saxony, Spain, Switzerland,

Tuscany, the Two Sicilies, and Würtemberg. Since then, Great Britain,

by an Act of Parliament, has added her name to this list. The first

step is taken there by making the metric system _permissive_, as is

proposed in the bills before Congress. The example of Great Britain is

of especial importance to us, since the commercial relations between

the two countries render it essential that these should have a common

system of weights and measures. On this point we cannot afford to

differ from each other.

The adoption of the metric system by the United States will go far to

complete the circle by which this great improvement will be assured to

mankind. Here is a new agent of civilization, to be felt in all the

concerns of life, at home and abroad. It will be hardly less important

than the Arabic numerals, by which the operations of arithmetic

are rendered common to all nations. It will help undo the primeval

confusion of which the Tower of Babel was the representative.

As the first practical step to this great end, I ask the Senate

to sanction the bills which have already passed the other House,

and which I have reported from the special committee on the metric

system. By these enactments the metric system will be presented to the

American people, and will become an approved instrument of commerce.

It will not be forced into use, but will be left for the present to

its own intrinsic merits. Meanwhile it must be taught in schools. Our

arithmetics must explain it. They who have already passed a certain

period of life may not adopt it; but the rising generation will embrace

it, and ever afterwards number it among the choicest possessions of an

advanced civilization.

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