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-The Project Gutenberg EBook of Standard Measures of United States, Great
-Britain and France, by Arthur S. C. Wurtele
-
-This eBook is for the use of anyone anywhere in the United States and most
-other parts of the world at no cost and with almost no restrictions
-whatsoever. You may copy it, give it away or re-use it under the terms of
-the Project Gutenberg License included with this eBook or online at
-www.gutenberg.org. If you are not located in the United States, you'll have
-to check the laws of the country where you are located before using this ebook.
-
-Title: Standard Measures of United States, Great Britain and France
- History and actual comparisons with appendix on introduction
- of the mètre
-
-Author: Arthur S. C. Wurtele
-
-Release Date: February 19, 2017 [EBook #54208]
-
-Language: English
-
-Character set encoding: UTF-8
-
-*** START OF THIS PROJECT GUTENBERG EBOOK STANDARD MEASURES OF US, GB, FRANCE ***
-
-
-
-
-Produced by Chris Curnow and the Online Distributed
-Proofreading Team at http://www.pgdp.net (This file was
-produced from images generously made available by The
-Internet Archive)
-
-
-
-
-
-
-
-
-
-
- STANDARD MEASURES
- OF
- UNITED STATES,
- GREAT BRITAIN, AND FRANCE.
-
- HISTORY AND ACTUAL COMPARISONS.
-
- WITH
- APPENDIX ON INTRODUCTION OF THE MÈTRE.
-
- BY
- ARTHUR S. C. WURTELE,
- ASS’T ENG., N. Y. C. & H. R. R.
-
- [Illustration]
-
- E. & F. N. SPON,
- NEW YORK: 44 MURRAY STREET.
- LONDON: 16 CHARING CROSS.
- 1882.
-
- COPYRIGHT, 1882, BY ARTHUR S. C. WURTELE.
-
-
-
-
-INTRODUCTION.
-
-
-During the preparation of this investigation of Standard Measures a large
-number of authorities were examined, including the following: Kelly’s
-“Universal Cambist,” Maunder’s “Weights and Measures,” “Encyclopædia
-Britannica,” “Chambers’ Encyclopædia,” Williams’ “Geodesy,” Hymer’s
-works, “Smithsonian Reports,” “Coast Survey Reports,” Herschel’s
-“Astronomy,” etc. The only concise and clear statement I found was J. E.
-Hilgard’s report to the Coast Survey on standards in 1876, which I was
-gratified to find coincides with my deductions.
-
- ARTHUR S. C. WURTELE.
-
-ALBANY, November 26, 1881.
-
-
-
-
-STANDARD MEASURES.
-
-
-A standard measure of length at first sight appears to be very
-simple--merely a bar of metal of any length, according to the unit of any
-country; and comparisons of different standards do not seem to present
-any difficulty. But on looking further into the thing, we find that
-standards are referred to some natural invariable length, and we are at
-once confronted with a mass of scientific reductions giving different
-values to the same thing, according to successively improved means of
-observation. We find, also, that comparisons of one standard with another
-differ, as given by reductions carried to great apparent exactness.
-
-Every author appears to assume the right of using his own judgment as to
-what reduction is to be considered the most exact, and the result is a
-very confusing difference in apparently exact figures, with nothing to
-show how these differences arise.
-
-I have endeavored to indicate what may be the cause of this confusion by
-giving the figures of actually observed comparisons and reductions; in a
-manner, the roots of the figures used as statements of length.
-
-Sir Joseph Whitworth gives 1/40000 of an inch as the smallest length that
-can be measured with certainty, with an ultimate possibility of 1/1000000
-of an inch; but imperceptible variations of temperature affect these
-infinitesimal lengths to such an extent that he believes the limit can
-only be reached at a standard temperature of 85° F., to avoid the effect
-of heat of the body.
-
-It appears to me that comparisons should be made of double yards and
-mètres with the old French toise, as the limit of exactness would be
-thereby doubled.
-
-Another great defect in statements of relative values is the omission
-of necessary facts--the material of which the bars or standards are
-made, the temperature at which comparison was made, and the standard
-temperatures used as to the final reduction, with the coefficient of
-expansion adopted.
-
-Again, bars of different metals appear in time to sensibly change their
-relative length.
-
-
-ENGLISH STANDARDS OF LENGTH.
-
-The first establishment of a uniform standard appears to have been made
-in 1101 by Henry I., who is said to have fixed the ulna (now the yard)
-at the length of his arm; but nothing definite was done till 1736, when
-the Royal Society took steps toward securing a general standard, and
-in 1742 they had a standard yard made by Graham from a comparison of
-various yards and ells of Henry VII. and Elizabeth, that were kept in the
-Exchequer.
-
-Two copies of the Royal Society standard yard were made by Bird in
-1758 for a committee of Parliament, one of which was marked “standard
-of 1758,” and the other 1760. But no exact legal standard was yet
-established, as shown by comparisons in 1802 of the various standard
-measures in use which Pictet, of Geneva, made with an accurate scale by
-Troughton, using means exact to the ten thousandth part of an inch, with
-the following results at the temperature of 62° F.:
-
- Troughton Scale 36·00000 inches.
- Parliamentary Standard (1758, Bird) 36·00023 “
- Royal Society “ (1760, “ ) 35·99955 “
- “ “ (Graham) 36·00130 “
- Exchequer “ 35·99330 “
- Tower “ 36·00400 “
- Gen. Roy “ (Trig. Survey) 36·00036 “
-
-Parliament finally undertook to reform the measures of England, and
-appointed a commission in 1818, under whose authority Capt. Kater
-compared the standard yards then in use with the following results, as
-referred to the Indian Survey standard:
-
- Col. Lambton Standard (Indian Survey) 36·000000 inches.
- Bird’s Standard (1760) 36·000659 “
- Sir Geo. Schuckburgh’s Standard 36·000642 “
- Ramsden’s Bar. Ordnance Survey 36·003147 “
- Gen. Roy’s Scale 36·001537 “
- Royal Society Standard 36·002007 “
-
-The commission reported in favor of adopting Bird’s standard of 1760, as
-it differed so slightly from Sir George Schuckburgh’s standard (which
-had been used in deducing the value of the French mètre) that those
-values could be assumed as correct. They also established the length of
-the seconds pendulum at level of sea in London and in vacuo as 39·13929
-inches. The seconds pendulum had been previously fixed by Wollaston and
-Playfair in 1814 as 39·13047 inches.
-
-On this report, an Act of Parliament in 1823 declared the only standard
-measure of length for the United Kingdom to be the yard as given by the
-distance at 32° F. between two points in gold studs on the brass bar,
-made by Bird, and marked “Standard of 1760,” and in the keeping of the
-Clerk of the House of Commons; also it referred this standard yard to the
-natural standard of a pendulum vibrating seconds of mean solar time at
-the level of the sea, in vacuo at London and temperature of 32° F., as
-in the proportion of 36 to 39·13929; so that a pendulum 36 inches long
-ought to make 90088·42 vibrations in 24 hours.
-
-The Royal Society had a copy of the legal standard made by Bailey in
-1834; and in the same year the Parliamentary standard was destroyed by
-fire at the burning of the Houses of Parliament, leaving the kingdom
-again without a legal standard.
-
-All attempts made by a commission consisting of Airy, Bailey, Herschel,
-Lubbock, and Sheepshanks, to restore the standard by means of the seconds
-pendulum failed in exactness, on account of the many conditions of a
-vibrating pendulum, and recourse was had to the Royal Society standard,
-which had been carefully compared by Captain Kater in 1818, and from this
-in 1838 Bailey and Sheepshanks made six bronze bars, one inch square, and
-38 inches long, which in 1855 were legalized by Act of Parliament, and
-the English standard of length defined as follows:
-
-“That the straight line on distance between the centres of the transverse
-lines in the two gold plugs on the bronze bar deposited in the Exchequer
-shall be the genuine standard yard at the temperature of 62° Fahrenheit;
-and if lost, it shall be replaced by means of its copies.”
-
-The French metrical system was made legal permissively in 1864, at the
-length established by Captain Kater, referred to in Act of Parliament of
-1823, of 1 mètre equal to 39·37079 inches, or 3·28089916 feet.
-
-These are the standards now in use in the United Kingdom.
-
-
-UNITED STATES.
-
-By the Constitution of the United States Congress is charged with fixing
-the standard of measures (Art. 1, sec. 8); but as no enactment has been
-made by Congress, the standard yard in England, which was legal previous
-to 1776 in the Colonies, is the standard yard of the United States, and
-does not differ with the English standard yard.
-
-Under resolution of Congress in 1830, Mr. Hassler was employed to examine
-the standards in use.
-
-Considerable discrepancies were found, but the mean of all examined
-corresponded very nearly with the English standard, and in 1832 the
-recommendation of Mr. Hassler was adopted, and the standard yard defined
-as the distance between the 27th and 63d inch marks, at the temperature
-of 62° F., on the brass scale 82 inches long, being an exact copy of Sir
-George Schuckburgh’s standard, made by Troughton, of London, for the
-Coast Survey, and deposited in the Office of Weights and Measures at
-Washington.
-
-In 1836 an Act of Congress ordered standards to be sent to each Governor
-of a State, and the work was done under direction of Mr. Hassler.
-
-In 1856, two copies of the English standard yard, as restored after
-destruction of the original standard by fire in 1834, No. 11 of bronze,
-and No. 57 of Low Moor wrought iron, were presented to the United States
-by Airy.
-
-The United States Troughton standard bar being compared with No. 11
-was found to be longer by 0·00085 inch, or in proportion of 1 to
-1·0000237216, about 1½ inches in a mile, according to Report of Secretary
-of Treasury in 1857.
-
-Later comparisons made by J. E. Hilgard, of the Coast Survey, at the
-British Standards Office, between No. 11 and the standard imperial yard,
-give No. 11 as 0·000088 inch shorter, or it would be of standard length
-at temperature of 62·25° F.
-
-We may infer that the Troughton standard is too long by 0·000762 inch, or
-would be standard length at temperature 59·77° F. instead of at 62° by
-making expansion reduction with Airy’s coefficient for the bronze of the
-imperial standards, 0·000342 inch per yard for 1° F.
-
-The mètre was made a legal standard permissively in 1866; the United
-States mètre standard being one of the 12 iron mètre bars made and
-verified for the French Government in 1799 on the adoption of the
-metrical system, and brought to America by Mr. Hassler in 1800, the
-relative value being fixed by Act of Congress at 39·37 inches.
-
-The relative value of 39·36850154 United States inches, as obtained by
-Mr. Hassler, corrected to 62° F., was used by the Coast Survey till
-1868, when it was found advisable to use the relative value of 39·3704
-as deduced by Clarke. Since 1800 several standard mètre bars were sent
-to the United States by the French Government, and on comparison, there
-appearing to be a slight discrepancy, the original iron standard mètre
-bar was sent to Dr. F. A. P. Barnard in Paris, and in 1867 it was
-compared with the French platinum standard, which is only used once in
-ten years to verify other standards.
-
-A difference was found by this comparison of only ·00017 millimètre
-or 1/160000 inch, which being only 1/100 of an inch in a mile is
-inappreciable.
-
-
-FRANCE.
-
-The standard of length of the système ancient was the toise of 6 pieds,
-divided into 12 pouces of 12 lignes each.
-
-The origin of the toise is not known, but it was probably legally
-established by Philip Le Bel, about 1300, as he first appears to have
-taken steps toward a uniform system of measures in France. In the 13th
-century the toise is mentioned by Ch. Le Rains. In the 14th century
-Menongier writes that, in marching, the sight should strike the ground 4
-toises in front. In the fifteenth century Pereforest brings in the toise,
-and in the sixteenth century the Contume de Berry says, “We use in this
-country two toises; one for carpenters of 5 pieds and a half, the other
-for masons of 6 pieds.”
-
-Picard used the toise in his measurement of an arc of meridian from
-Malvoisin to London in 1669.
-
-The meridians measured by the Academy in 1735 to settle the question of
-the figure of the earth were made by means of two standard toises, known
-as the “Toise du Nord,” and the “Toise du Sud.”
-
-The first, used by Maupertuis, Clairault, and Le Monnier, in Lapland, was
-destroyed by immersion in sea-water, when their ship was wrecked on the
-return voyage.
-
-The second, with which La Condamine, Bourgner, and Godin operated in
-Peru, was the original of the toise Canivet made in 1768, and of the
-standards used in determining the mètre.
-
-The commencement of the move for a scientific standard of length in
-France which resulted in the mètre was in 1790, when the revolutionary
-government proposed to England the formation of a commission of equal
-numbers from the English Royal Society and the French Academy, for the
-purpose of fixing the length of the seconds pendulum at latitude 45° as
-the basis of a new system of measures. This proposal was not favorably
-received, and the Academy, at the request of government, appointed as
-a commission Borda, Lagrange, Laplace, Monge, and Condorcet, to decide
-whether the seconds pendulum, the quarter of the equator, or the quarter
-of a meridian, should be used as the natural standard for the new system
-of measures. They settled on the last as best for the purpose, and
-resolved that the ten millionth of the meridian quadrant, or distance
-from equator to pole, measured at sea level, be taken for basis of the
-new system, and be called a mètre.
-
-Delambre and Mechin were at once charged with re-measurement of the
-meridian surveyed in 1739 by La Caille and Cassini, from Dunkirk to
-Perpignan, and its extension to Barcelona.
-
-Operations were commenced in 1792, and carried on with great accuracy
-to completion in 1799; Delambre working between Dunkirk and Paris, and
-Mechin between Paris and Barcelona.
-
-The distance measured from Dunkirk to Barcelona was 9° 40´ 24·24´´ of
-arc, or 1,075,059 mètres, as reduced to the new standard.
-
-The “toise de Peru” was the standard used in the work at a temperature of
-13° R.
-
-Two base-lines were measured with Borda’s compensating bars of brass and
-platinum; one at Melun, near Paris, 6076 toises long, and the second at
-Perpignan, 6028 toises long, and though over 900,000 mètres apart, the
-calculated length differed by only 10 pouces.
-
-This meridian was afterward, in 1806, extended by Gen. Roy to Greenwich,
-on the north, and by Biot and Arago to Formentera, on the south. The
-results, as given by Laplace in centesimal degrees and mètres, are as
-follows:
-
- Greenwich 57·19753° ·0 mètres.
- Pantheon, Paris 54·27431° 292,719·3 “
- Formentera 42·96178° 1,423,636·1 “
-
-The middle of the arc being 50·079655° Cent., or 45° 4´ 18·0822´´ Sexa.,
-and the middle degree centesimal being very nearly 100,000 mètres.
-
-The determination of the final result of these geodetic measurements was
-referred to a committee of 20 members; 9 named by the French Government,
-and the others by the governments of Holland, Savoy, Denmark, Spain,
-Tuscany, and of the Cisalpine, Ligurian, and Swiss republics, on the
-invitation of France.
-
-This committee established the meridian quadrant at 5,130,740 toises;
-making the mètre 0·513074 of the toise, or 36·9413 pouces, or 443·296
-lignes, and the toise 1·94903659 mètres.
-
-Iron standard mètre bars, 12 in number were made by Borda, also 2 of
-platinum and 4 standard toise bars.
-
-The 12 standard iron mètre bars were sent to different countries, after
-being verified by the French Government, and on the 2d of November, 1801,
-the mètrical système was legalized by France, and the standard unit of
-length declared to be the ten millionth part of a meridian quadrant of
-the earth, as defined by the distance at a temperature of 0° Centigrade
-(32° F.) between two points on a platinum bar in the keeping of the
-Academy of Science at Paris. This standard bar is used only once every
-ten years for exact comparisons, as stated by Dr. F. A. P. Barnard.
-
-About 1837 Bessel, by a combination of 11 measured arcs of meridian,
-deduced the quadrant of meridian as 5,131,179·81 toises instead
-of 5,130,740 toises, as fixed by law. This would make to quadrant
-10,000,565·278 legal mètres, or would increase the mètre length from
-443·296 lignes to 443·334 lignes, agreeing very nearly with result
-obtained by Airy in 1830, from a combination of 13 measured arcs.
-
-The following are the measured arcs used by Bessel and Airy; the
-combinations being indicated by initial letters, A and B.
-
- _Measurer._ _Mid. Lat._ _Arc._ _Length._
- B.--Svanberg, Sweden +66° 20´ 10·0´´ 1° 37´ 19·6´´ 593,277 feet
- A.--Maupertuis, Sweden +66° 19´ 37·0´´ 0° 57´ 30·4´´ 351,832 “
- A.--Struve, Russia +58° 17´ 37·0´´ 3° 35´ 5·2´´ 1,309,742 “
- B.--Struve and Tenner,
- Russia +56° 3´ 55·5´´ 8° 2´ 28·9´´ 2,937,439 “
- B.--Bessel and Bayer,
- Prussia +54° 58´ 26·0´´ 1° 30´ 29·0´´ 551,073 “
- B.--Schumacher, Denmark +54° 8´ 13·7´´ 1° 31´ 53·3´´ 559,121 “
- A, B.--Ganss, Hanover +52° 32´ 16·6´´ 2° 0´ 57·4´´ 736,425 “
- A.--Roy and Kater, England +52° 35´ 45·0´´ 3° 57´ 13·1´´ 1,442,953 “
- B.-- “ “ “ +52° 2´ 19·0´´ 2° 50´ 23·5´´ 1,036,409 “
- A.--Lacaille and Cassini,
- France +46° 52´ 2·0´´ 8° 20´ 0·3´´ 3,040,605 “
- A, B.--Delambre and Mechin,
- France +44° 51´ 2·5´´ 12° 22´ 12·7´´ 4,509,832 “
- A.--Boscovich, Rome +42° 59´ ·0´´ 2° 9´ 47·0´´ 787,919 “
- A.--Mason and Dixon,
- America +39° 12´ ·0´´ 1° 28´ 45·0´´ 538,100 “
- A, B.--Lambton, India +16° 8´ 21·5´´ 15° 57´ 40·7´´ 5,794,598 “
- A, B.--Lambton and Everest,
- India +12° 32´ 20·8´´ 1° 34´ 56·4´´ 574,318 “
- A, B.--Lacondamine, Peru - 1° 31´ 0·4´´ 3° 7´ 3·5´´ 1,131,050 “
- A.--Lacaille, Cape Good
- Hope -33° 18´ 30·0´´ 1° 13´ 17·5´´ 445,506 “
- B.--Maclear, “ “ -35° 43´ 20·0´´ 3° 34´ 34·7´´ 1,301,993 “
- A.--Plana and Cartessi,
- Piedmont -------------- 1° 7´ 31·1´´ ------------
-
-The following different lengths of the mètre have been obtained:
-
- As adopted by France, 1801 443·296 lignes.
- According to Delambre 443·264 “
- “ Bessel 443·33394 “
- “ Airy 443·32387 “
- “ Clarke 443·36146 “
- From Peru Meridian 443·440 “
-
-The length of a pendulum vibrating 100,000 times in a mean solar day was
-determined in numerous careful experiments by Biot, Arago, and Mathieu,
-in mètres of 443·296 lignes, as follows:
-
- Dunkirk 56·67 lat. Cent. 0 above sea 0·7419076 mètres.
- Paris 54·26 “ 65 “ 0·7418870 “
- “ by Borda 54·26 “ 0 “ 0·7416274 “
- Bordeau 49·82 “ 0 “ 0·7412615 “
- Formentera 42·96 “ 196 “ 0·7412061 “
-
-Borda also determined the length of the seconds pendulum at Paris, in
-vacuo:
-
- First result 440·5595 lignes = 0·9938267 mètre.
- Second result “ “ = 0·9938460 “
- As given by Ganot “ “ = 0·9935 “
-
-In 1812 the système usuelle was established, of which the unit was one
-third of the mètre, with the old name of pied, and duodecimally divided
-into pouces and lignes.
-
-This system continued in use till 1840, when it was abolished by law, and
-the names of pied, pouce, and ligne forbidden under penalties. So the
-mètre, decimally divided, remains the only legal measure of length in
-France.
-
-
-COMPARISONS OF UNITED STATES AND ENGLISH STANDARDS.
-
-In 1832, under resolution of Congress, Mr. Hassler compared the different
-standard yards in America, with the following results, using the yard
-between the twenty-seventh and sixty-third inches on the scale made of
-bronze by Troughton, of London, for the United States Coast Survey, as
-the reference, that being identical with Sir George Schuckburg’s standard:
-
- Troughton Scale, mid. yard 36·0000000 inches.
- “ “ between platinum points 35·9989758 “
- Jones yard in State Department 35·9990285 “
- Iron yard in Engineer Department 35·9987760 “
- Brass yard, Albany, Sec. of State 36·0002465 “
- Gilbert yard, University of Virginia 35·9952318 “
-
-In 1856 the Troughton standard bronze scale was compared with the bronze
-standard yard No. 11, which was sent over by Airy as a copy of the
-English imperial standard, as restored after destruction of the original
-standard by fire in 1834, and the United States standard was found to be
-longer by 0·00085 inch.
-
-Later comparisons by J. E. Hilgard, of the Coast Survey, of the bronze
-standard No. 11 with the imperial standard yard, at the British Standards
-Office, gave No. 11 as 0·000088 shorter than the imperial standard.
-
-Hassler’s reduction of the mètre, as deduced by Beach at 62° F.,
-39·36850154, compared with the English reduction of the mètre, 39·37079
-inches, gives an excess to the United States Standard of 0·002029 inch.
-
-The following reductions have been given for the United States yard in
-English inches:
-
- Report of Sec. of Treas., 1857 36·00087 = 1·00002416
- Chambers’ Encyclopædia, 1872 36·00087
- “ “ “ 36·0020892 = 1·0000580334
- Trautwine 36·0020894 = 1·000058038
- Mathewson, U. S. surveyor 36·00208944 = 1·00005804
- Hassler and Beach 36·002092 = 1·00005811
- J. E. Hilgard, Coast Survey 36·00076 = 1·000021
-
-To Mr. Hassler’s reduction the name of United States inch has been
-applied; but his reduction is not correct, as he used a rate of expansion
-for brass deduced by himself of 0·0003783 inch in one yard for 1° F.,
-and later experiments show that the smaller rate of 0·000342, deduced by
-Airy, is more correct.
-
-By correcting Hassler’s reduction with the later rate of expansion, J. E.
-Hilgard shows that the difference would be very small, or only 36·0002286
-= 1·00000635, or about ⅖ of an inch in a mile.
-
-In Coast Survey report for 1876, J. E. Hilgard calls attention to another
-difficulty in the matter of extreme accuracy, in the uncertainty with
-regard to the permanence in the length of a bar, and states that the
-bronze standard bar No. 11 and the Low Moor iron standard bar No. 57,
-presented to the United States by Great Britain, are found to have
-changed their relative length by 0·00025 inch in 25 years; the bronze bar
-being now relatively shorter by that amount. This subject, he states, is
-undergoing further investigation.
-
-
-COMPARISON OF UNITED STATES AND FRENCH STANDARDS.
-
-In 1817 Mr. Hassler examined the French standards in America, for the
-Coast Survey, using the Troughton bronze standard scale, which is
-identical with Sir George Schuckburg’s standard, as the reference, with
-the following results, all being reduced to temperature of 32° F.
-
- Original Iron Mètre, 1799 39·381022708 inches.
- Lenoir Iron Mètre, Coast Survey 39·37972015 “
- “ Brass “ “ 39·380247972 “
- “ “ “ Eng. Dept. 39·38052739 “
- Canivet Iron Toise, 1768 76·74334472 “
- Lenoir “ “ 76·74192710 “
-
-In 1814 Troughton had compared with his own scale in London two of the
-above.
-
- Lenoir Iron Mètre, C. S. 39·3802506 inches.
- “ Brass “ “ 39·3803333 “
-
-In 1832, under resolution of Congress, Hassler again compared the French
-standards in the United States, using as before the Troughton scale, and
-reducing all to temperature of 32° F. as follows:
-
- Original Iron Mètre, 1799 39·3808643 inches.
- Lenoir “ “ C. S. 39·3799120 “
- “ Brass Mètre C. S. 39·380447 “
- “ “ Eng. Dept. 39·3801714 “
- “ “ “ in 1829 39·3807095 “
- Fortin “ State Dept. 39·3796084 “
- “ Treas. “ 39·3795983 “
- Iron Mètre “ “ 39·3807827 “
- Gilbert “ Univ. of Virg. 39·365408 “
- Platinum Mètre 39·3803278 “
- “ (Nicollet) 39·380511 “
- Canivet Iron Toise, 1768 76·74290511 “
- Lenoir “ 1799 76·74047599 “
-
-From the mean of his comparisons between the United States brass
-Troughton standard yard and the authentic French standard mètres used by
-the Coast Survey, Hassler, in 1832, deduced the value of the mètre at
-39·3809172 inches, at 32° F., and by correction for expansion to United
-States standard temperature of 62° F., he made the mètre at 32° equal to
-39·36850154 inches at 62° F.
-
-The British imperial standard and the United States Troughton standard
-differ by only 0·000762 inch, which applied to the English reduction
-of 39·37079, would give 39·36996 as the relative value according to
-Troughton standard.
-
-The difference between these reductions is probably to be attributed
-to the use of different rates of expansion, in correcting for standard
-temperatures, which vary considerably, according to high authority as
-follows for brass at 1° F.
-
- Whitworth, 1876 0·00000956 = 0·00034416 in. per yard.
- Borda, 1799 0·000009913 = 0·00035687 “
- Smeaton, 1750 0·000010417 = 0·00037501 “
- Hassler 0·000010508 = 0·0003783 “
- Ramsden, 1760 0·000010516 = 0·0003786 “
- Faraday, 1830 0·00001059 = 0·00038124 “
-
-And for the bronze of which the British imperial standards are made:
-
- Airy and Sheepshanks 0·0000095 = 0·000342 in. per yard.
- Fizeau 0·00000975 = 0·000351 “
-
-The correction at Ramsden’s rate is nearly identical with Hassler’s,
-and gives 39·3684933; at Whitworth’s rate it would give 39·36962, very
-nearly the same as deduced from the difference between the British
-Imperial standard and the United States Troughton standard. The results
-of Sir Joseph Whitworth were obtained by use of all late improvements for
-scientific precision, and they must be accepted as most reliable.
-
-It would appear preferable to give comparisons at the same temperature in
-connection with the corrected result, so that international comparisons
-of scientific measurements may not be vitiated by accidental variations.
-
-
-COMPARISON OF ENGLISH AND FRENCH STANDARDS.
-
-When the mètre standard was established in France, 1799, it was compared
-with Sir George Schuckburg’s standard yard by Captain Kater. The
-quadrant of 10,000,000 mètres, or 5,130,740 toises, was determined to
-be 32,808,992 English feet, giving the mètre equal to 3·2808992 English
-feet, or 39·37079 inches, and the toise equal to 6·3945925921 English
-feet.
-
-In 1814 Wollaston and Playfair, by comparison with the platinum mètre
-standard at 55° F., deduced the mètre as equal to 39·3828 English inches.
-
-During the geodetic operations of General Roy in 1802, who used 60° F.
-as standard temperature, Pictet’s comparisons, using means capable of
-measuring the 10,000th part of an inch, gave the mètre standard, which is
-used at 32° F. as standard temperature, at 39·3828 English inches; this
-corrected for temperature by Dr. Young, gave 39·371 English inches at 62°
-F.; which result was confirmed by Bird, Maskelyne and Laudale.
-
-In 1823, by Act of Parliament on report of committee, the mètre is fixed
-as 39·37079 English inches.
-
-In 1800 the Royal Society, by comparison with two toise standards sent by
-Lalande to Maskelyne, deduced the mètre as 39·3702 English inches.
-
-Later comparisons by Clarke in the Ordnance Survey Office at Southampton,
-in 1866, give the mètre as 39·37043 inches.
-
-The French Academy of Sciences by comparison with Sir George Schuckburg’s
-standard at temperature of 32° F., deduced the mètre as 39·3824 English
-inches, which reduced to standard temperature of 62° F., would be
-39·3711, or slightly in excess of the value deduced by Dr. Young from
-Pictet’s comparisons.
-
-The legal value in England is one mètre equal to 39·37079, and the latest
-reduction is 39·37043 inches by Clarke in 1866, which is probably the
-most exact reduction.
-
-DIFFERENT REDUCTIONS OF THE FRENCH TOISE INTO ENGLISH FEET.
-
- Captain Kater, 1799 6·3945925921 feet.
- Hassler, 1832 6·3951409 “
- Chambers’ Encyclopædia 6·39456 “
- “ Mathematics 6·394662 “
- Wallace 6·39462 “
- Nystrom 6·39625 “
- Alexander 6·39435 “
- Dana 6·3946 “
-
-The following table of reductions as used shows clearly how great a
-confusion exists in the matter of comparisons:
-
-MÈTRE IN INCHES.
-
- Phœnixville Hand-book 39·368 inches.
- Hassler 39·36850154 “
- “ 39·370788 “
- “ 39·3809172 “
- Trautwine 39·368505 “
- “ 39·37079 “
- Silliman 39·368505 “
- “ 39·37079 “
- Chambers’ Encyclopædia 39·36850535 “
- “ “ 39·3707904 “
- Act of United States Congress, 1866 39·37 “
- Smithsonian Report 39·37 “
- Youmans 39·37 “
- Davies 39·37 “
- Homan’s Encyclopædia 39·37008 “
- Weale 39·3702 “
- Ordnance Survey (England, 1866) 39·37043 “
- Clerk Maxwell 39·37043 “
- Capt. Clarke 39·3704316 “
- J. M. Rankine (1870) 39·3704316 “
- “ (1866) 39·3707904 “
- Alexander (weights and measures) 39·37068 “
- Ganot 39·370788 “
- Vose 39·370788 “
- Act of British Parliament, 1823 39·37079 “
- Encyclopædia Britannica 39·37079 “
- Hymer 39·37079 “
- Davies and Peck 39·37079 “
- J. W. Clarke 39·37079 “
- Dana 39·37079 “
- Whittaker 39·37079 “
- Sommerville 39·3707904 “
- Chambers’ Mathematics 39·3707904 “
- Gwilt’s Encyclopædia 39·3707904 “
- Gillespie 39·3707904 “
- Capt. Kater 39·3708 “
- Appleton’s Encyclopædia 39·37079 “
- Van Nostrand 39·3708 “
- D’Aubuisson 39·3708 “
- Johnson (draftsman) 39·3708 “
- Encyclopædia Americana 39·371 “
- Jameson’s Dictionary 39·371 “
- Herbert’s Encyclopædia 39·371 “
- Popular “ 39·371 “
- Molesworth 39·371 “
- Dr. Young (1802) 39·371 “
- Wallace (engineer) 39·371 “
- Nystrom 39·38091 “
- Hencke 39·3809172 “
- Act of Canadian Parliament, 1873 39·3819 “
- Paris Academy 39·3824 “
-
-LENGTH OF THE SECONDS PENDULUM AS GIVEN BY DIFFERENT WRITERS.
-
- NEW YORK.--Hencke 39·1012 inches.
- Bartlet 39·11256 “
- Nystrom 39·1017 “
- Ganot 39·1012 “
- Byrne 39·10153 “
- Wallace 39·10153 “
-
- LONDON.--Hencke 39·13908 “
- Gillespie 39·13929 “
- Chambers’ Encyclopædia 39·13929 “
- Williams’ Geodesy 39·13929 “
- Act of Parliament, 1823 39·13929 “
- Wallace (engineer) 39·1393 “
- Chambers’ Mathematics 39·1393 “
- Hymer Astronomy 39·13734 “
- Bartlet 39·13908 “
- Vose 39·1393 “
- Sommerville 39·1393 “
- Nystrom 39·1393 “
- Davies and Peck 39·13908 “
- Ganot 39·1398 “
- Wollaston (1814) 39·13047 “
- Galbraith 39·139 “
- Byrne 39·1393 “
- Capt. Kater 39·13829 “
-
- PARIS.--Hencke 39·12843 “
- Ganot 39·1285 “
- Galbraith 39·128 “
- Byrne 39·12843 “
- Wallace 39·12843 “
-
-
-
-
-APPENDIX.
-
-
-Having shown in the preceding pages that in the point of view of
-scientific accuracy the yard, mètre, and toise standards are on a
-common level, and that in the matter of comparisons there is no extreme
-accuracy, I will now refer to the proposed change of our standard from
-the yard to the mètre.
-
-Theoretically the mètre is the 10,000,000th part of the earth’s quadrant,
-and the yard the 36/39·13929th part of a seconds pendulum at London.
-Practically, neither the mètre nor yard could be recovered with exactness
-from their natural basis. The legal French mètre differs from the
-latest reduction enough to give an excess of over three miles to the
-circumference of the earth. In fact, the mètre and yard are only the
-lengths of bars of metal kept in certain offices, from which copies are
-made. Decimally considered, it is as easy to divide one as the other into
-tenths, hundredths, etc., and the yard standard is often so divided.
-
-As to nomenclature, the metrical system is overloaded with Greek and
-Latin prefixes, which are in no way so easy and convenient in expression
-as the short, sharp Anglo-Saxon words yard, foot, inch.
-
-In all sciences Latin and Greek names are given for easier purposes
-of classification; but the different peoples invariably keep their
-own household names for daily purposes, leaving prefix and affix to
-specialists, probably with advantage to both parties.
-
-The units used for different purposes are entirely distinct from the
-base of any system, and though always referable to such base, are not
-practically so referred. It therefore seems useless to burden the people
-with long scientific names in the ordinary transactions of daily life.
-
-For long distances the units in the yard and metrical systems are
-respectively the mile and the kilomètre.
-
-The mile has a definite meaning in our minds, being associated, from the
-days of youth, with the measured distances in race-courses, speed in
-walking, railway and steamer travel, length of surveyed lots--the same
-being in use among about 100,000,000 people.
-
-For mechanical structures, the units are respectively the foot and the
-mètre. The foot is used instead of the yard, as being the most convenient
-in practice, and is fixed in the minds of the people by constant
-association with length of foot-rules, size of buildings, doors, windows,
-etc., all of which are always before us.
-
-For commercial purposes the units are respectively the yard and the
-mètre. The yard is associated with length of yard-sticks, distance
-between brass nails on counters, so many finger-lengths by ladies.
-Probably three fourths of the business of the world is conducted on the
-yard standard.
-
-For machine and shop work the English unit is the inch and fractions,
-and countries having the metrical standard have universally adopted the
-millimètre.
-
-The inch is well fixed in the minds of all mechanics by constant use, and
-the ease with which the fractions are had by halving only renders the
-system very convenient.
-
-As more figures must be used to indicate a size by millimètres than by
-inches and fractions, it appears that the metrical system cannot shorten
-the work of arithmetical computation in shop work, and is therefore of no
-advantage to the mechanic or draftsman, but rather the reverse. This is
-the opinion of Coleman Sellers, the distinguished Philadelphia engineer
-and manufacturer, who, after a trial of the millimètre in his shops for
-some years, returned to the use of the inch, and writes in _Engineering
-News_: “The loss from the use of a small unit requiring many figures
-to express what is needed, takes away from the other advantages of the
-system when considered from a labor-saving point of view.”
-
-In France itself the metrical system is not wholly decimal in actual
-practice, as we find the following measures in use in addition to the
-decimal divisions: double decamètre, demi-decamètre, double mètre,
-demi-mètre, and double decimètre.
-
-The metrical system has been adopted in the following countries: France
-and colonies, Holland and colonies, Belgium, Spain and colonies,
-Portugal, Italy, Germany, Greece, Roumania, British India, Mexico,
-New Granada, Ecuador, Peru, Brazil, Uruguay, Argentine Confederacy,
-Chili, Venezuela; and partially in Wurtemburg, Bavaria, Baden, Hesse,
-Switzerland, Denmark, Austria, and Turkey.
-
-In the past centuries all the work and records of English-speaking
-peoples--now numbering about 100,000,000, and increasing and progressing
-faster than all other nationalities, as well as being closely connected
-by descent and business--have been done and recorded under the yard
-standard, and any change now would inevitably render necessary continual
-reductions, to the great detriment and inconvenience of the mass of our
-people, and with little or no practical benefit, except perhaps to a
-small class of scientific and pseudo-scientific men, who can and do amuse
-themselves with the fancied uniformity of the mètre.
-
-All our numerous text-books and tables, mechanical and scientific, would
-be rendered entirely useless by the change, and this is a serious final
-consideration.
-
-
-
-
-
-End of the Project Gutenberg EBook of Standard Measures of United States,
-Great Britain and France, by Arthur S. C. Wurtele
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