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Measures for Progress: A History of the National Bureau of Standards

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528<br />

APPENDIX B<br />

As <strong>the</strong> more practicable <strong>of</strong> <strong>the</strong> two earth circles, <strong>the</strong> committee proposed to<br />

measure an arc <strong>of</strong> meridian between Dunkirk, on <strong>the</strong> nor<strong>the</strong>rn coast <strong>of</strong> France, and<br />

Barcelona, on <strong>the</strong> Mediterranean Sea. From <strong>the</strong> distance determined, computation<br />

would be made <strong>of</strong> <strong>the</strong> length <strong>of</strong> <strong>the</strong> entire quadrantal arc from <strong>the</strong> pole to <strong>the</strong> equator,<br />

allowing <strong>for</strong> <strong>the</strong> deviation <strong>of</strong> <strong>the</strong> earth's <strong>for</strong>m from a true sphere. The ten-millionth<br />

part <strong>of</strong> <strong>the</strong> total computed length was <strong>the</strong>n to be taken as <strong>the</strong> base or fundamental unit<br />

<strong>of</strong> length and accurately marked <strong>of</strong>f on a suitable number <strong>of</strong> specially constructed metal<br />

bars, copies <strong>of</strong> which would provide working standards <strong>for</strong> science and commerce.<br />

The plan was adopted and <strong>the</strong> Academy <strong>of</strong> Sciences assigned <strong>the</strong> term metre<br />

(meter) from <strong>the</strong> Greek metron, a measure, to <strong>the</strong> one ten-millionth part <strong>of</strong> <strong>the</strong> quadrant,<br />

fixing <strong>the</strong> new unit provisionally at 3 pieds 11.44 lignes, based on calculations made <strong>of</strong><br />

a meridian in France by Lacaille in 1740.2 This unit was roughly similar to <strong>the</strong> Dutch<br />

eli, <strong>the</strong> English yard, <strong>the</strong> Italian braccio, and o<strong>the</strong>r standard lengths in <strong>the</strong> nations <strong>of</strong><br />

Europe.<br />

From <strong>the</strong> concept <strong>of</strong> this single length standard, all o<strong>the</strong>r weights and measures<br />

were to be derived. Decimal multiples and submultiples <strong>of</strong> <strong>the</strong> meter were to express<br />

its macro and micro versions. A new, single unit <strong>of</strong> weight or mass, <strong>the</strong> gram, with<br />

similar decimal multiples and submultiples, was to replace existing weights, <strong>the</strong> new<br />

standard corresponding to <strong>the</strong> mass <strong>of</strong> 1 cubic centimeter (that is, a cube one-hundredth<br />

<strong>of</strong> a meter on a side) <strong>of</strong> pure water. The unit <strong>of</strong> capacity, <strong>the</strong> liter, would be a<br />

volume <strong>of</strong> pure water equal to 1 cubic decimeter. The measure <strong>of</strong> volume, especially <strong>for</strong><br />

cord wood, <strong>the</strong> stere, was to be a meter cubed. And <strong>the</strong> unit <strong>of</strong> land area, <strong>the</strong> are, was to<br />

be a square 10 meters on a side or 100 square meters.<br />

The concept had and still has merit and pr<strong>of</strong>undity. But as we shall see, <strong>the</strong><br />

<strong>the</strong>oretical perfection <strong>of</strong> <strong>the</strong> metric system could not be realized.<br />

Working with <strong>the</strong> greatest precision attainable with <strong>the</strong> instruments and knowl-<br />

edge available, members <strong>of</strong> <strong>the</strong> Academy measured by triangulation <strong>the</strong> meridional dis-<br />

tance through Paris <strong>of</strong> <strong>the</strong> arc from Dunkirk to Barcelona, a strip <strong>of</strong> country made up <strong>of</strong><br />

mountainous and inaccessible districts. The work was not only arduous but hazardous,<br />

since it was carried out during <strong>the</strong> Reign <strong>of</strong> Terror and was subject to repeated<br />

harassment.<br />

In April 1795, even be<strong>for</strong>e a definitive meter was derived from <strong>the</strong> astronomical<br />

and geodetic measurements along <strong>the</strong> Dunkirk-Barcelona meridian, <strong>the</strong> revolutionary<br />

government instituted <strong>the</strong> metric system in France, using <strong>the</strong> provisional meter as<br />

standard and fixing <strong>the</strong> nomenclature <strong>of</strong> <strong>the</strong> new units <strong>of</strong> measure.<br />

In June 1798, 6 years after beginning <strong>the</strong> fieldwork, <strong>the</strong> observations <strong>of</strong> <strong>the</strong> parties<br />

<strong>of</strong> geodecists under Méchain and Delambre were completed and at <strong>the</strong> invitation <strong>of</strong> <strong>the</strong><br />

government a committee <strong>of</strong> delegates from <strong>the</strong> republics <strong>of</strong> Europe studied <strong>the</strong> assembled<br />

computations. While one section <strong>of</strong> <strong>the</strong> committee examined <strong>the</strong> measurements <strong>of</strong> <strong>the</strong><br />

arc <strong>of</strong> meridian and <strong>the</strong> actual length <strong>of</strong> <strong>the</strong> meter, ano<strong>the</strong>r, which included Johann<br />

Georg Tralles, deputy <strong>of</strong> <strong>the</strong> Helvetic Republic,3 undertook determination <strong>of</strong> <strong>the</strong> unit <strong>of</strong><br />

mass, <strong>the</strong> gram. When so small a mass could not be realized with sufficient accuracy,<br />

its multiple, <strong>the</strong> kilogram, was selected <strong>for</strong> construction <strong>of</strong> <strong>the</strong> standard <strong>of</strong> mass.<br />

2 Interestingly, <strong>the</strong> provisional meter in brass, constructed by Lenoir <strong>of</strong> Paris in 1795,<br />

proved to differ from <strong>the</strong> meter finally determined by only about 0.33 millimeter.<br />

Be<strong>for</strong>e <strong>the</strong> establishment <strong>of</strong> <strong>the</strong> metric system, <strong>the</strong> principal units in use in France were<br />

<strong>the</strong> pied du Roi (0325 meter) <strong>for</strong> lengths and <strong>the</strong> livre poids de mare (489.5 grams) <strong>for</strong><br />

weights. The pied du Roi was divided into 144 lignes, and 6 pieds du Roi made a<br />

toise (1.949 meters), <strong>the</strong> common unit <strong>of</strong> length.<br />

See Hassler appendix <strong>for</strong> note on Tralles.

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