The
American Revolution, in which the
United States was supported by
France and
Spain, led to the founding of the
Survey of the Coast in 1807 and the creation of the
Office of Standard Weights and Measures in 1830. In
continental Europe, adoption of the
metric system and a better
standardisation of units of measurement marked the
Technological Revolution, a period in which
German Empire would challenge
United Kingdom as the foremost industrial nation in Europe. This was accompanied by development in
cartography which was a prerequisite for both military operations and the creation of the infrastructures needed for industrial development such as
railways. During the process of
unification of Germany,
geodesists called for the establishment of an
International Bureau of Weights and Measures in
Europe.
Swiss, American, Spanish and Egyptian cartography , 1817|left The
Helvetic Republic adopted the
metric system by law in 1801. In 1805, a Swiss immigrant
Ferdinand Rudolph Hassler brought copies of the French metre and kilogram to the United States. In 1830 the
Congress decided to create uniform standards for length and weight in the United States. Hassler was mandated to work out the new standards and proposed to adopt the metric system. The United States Congress opted for the
British Parliamentary Standard Yard of 1758 and the British
Troy Pound of 1824 as length and weight standards. In 1816, Ferdinand Rudolph Hassler was appointed first Superintendent of the
Survey of the Coast. Trained in geodesy in Switzerland, France and
Germany, Hassler had brought a standard metre made in Paris to the United States in October 1805. He designed a baseline apparatus which instead of bringing different bars in actual contact during measurements, and optical contact. In 1830, Hassler became head of the Office of Weights and Measures, which became a part of the Survey of the Coast. He compared various units of length used in the
United States at that time and measured
coefficients of expansion to assess temperature effects on the measurements. In 1834, Hassler, measured at
Fire Island the first
baseline of the Survey of the Coast, shortly before
Louis Puissant declared to the French Academy of Sciences in 1836 that Jean Baptiste Joseph Delambre and Pierre Méchain had made errors in the
meridian arc measurement, which had been used to determine the length of the metre., in
canton of Bern,
Switzerland in 1880. In 1855, the Dufour map (French:
Carte Dufour), the first
topographic map of Switzerland for which the metre was adopted as the unit of length, won the gold medal at the Exposition Universelle. However, the baselines for this map were measured in 1834 with three toises long measuring rods calibrated on a toise made in 1821 by
Jean Nicolas Fortin for
Friedrich Georg Wilhelm von Struve. The Spanish standard, a geodetic measuring device calibrated on the metre devised by
Carlos Ibáñez e Ibáñez de Ibero and
Frutos Saavedra Meneses, was also displayed by
Jean Brunner at the Exhibition. Carlos Ibáñez e Ibáñez de Ibero recognized that the end standards with which the most perfect devices of the eighteenth century and those of the first half of the nineteenth century were still equipped, that
Jean-Charles de Borda or
Friedrich Wilhelm Bessel simply joined measuring the intervals by means of
vernier callipers or glass wedges, would be replaced advantageously for accuracy by microscopic measurements, a system designed in
Switzerland by Ferdinand Rudolph Hassler and
Johann Georg Tralles, and which Ibáñez ameliorated using a single standard with lines marked on the bar. Regarding the two methods by which the effect of temperature was taken into account, Ibáñez used both the bimetallic rulers, in platinum and brass, which he first employed for the central base of Spain, and the simple iron ruler with inlaid mercury thermometers which was used in Switzerland. On the sidelines of the
Exposition Universelle (1855) and the second
Congress of Statistics held in Paris, an association with a view to obtaining a uniform decimal system of measures, weights and currencies was created in 1855. and was also to be compared to the Ibáñez apparatus.
European geodesy In Europe, except Spain, Among these, the toise of Bessel and the apparatus of Borda were respectively the main references for geodesy in
Prussia and in
France. These measuring devices consisted of bimetallic rulers in platinum and brass or iron and zinc fixed together at one extremity to assess the variations in length produced by any change in temperature. The combination of two bars made of two different metals allowed to take
thermal expansion into account without measuring the temperature. A French scientific instrument maker,
Jean Nicolas Fortin, made three direct copies of the Toise of Peru, one for
Friedrich Georg Wilhelm von Struve, a second for
Heinrich Christian Schumacher in 1821 and a third for Friedrich Wilhelm Bessel in 1823. In 1831,
Henri-Prudence Gambey also realised a copy of the Toise of Peru which was kept at
Altona Observatory in
Hamburg. In the second half of the 19th century, the creation of the
Central European Arc Measurement () would mark, following
Carl Friedrich Gauss, the systematic adoption of more rigorous methods among them the application of the
least squares in geodesy. In 1866, an important concern was that the Toise of Peru, the standard of the toise constructed in 1735 for the
French Geodesic Mission to the Equator, might be so much damaged that comparison with it would be worthless, In fact, the length of Bessel's Toise, which according to the then legal ratio between the metre and the Toise of Peru, should be equal to 1.9490348 m, would be found to be 26.2·10−6 m greater during measurements carried out by
Jean-René Benoît at the International Bureau of Weights and Measures. It was the consideration of the divergences between the different toises used by geodesists that led the
European Arc Measurement ( ) to consider, at the meeting of its Permanent Commission in Neuchâtel in 1866, the founding of a World Institute for the Comparison of Geodetic Standards, the first step towards the creation of the International Bureau of Weights and Measures. In 1867 at the second General Conference of the European Arc Measurement held in
Berlin, the question of international standard of length was discussed in order to combine the measurements made in different countries to determine the size and shape of the Earth. The conference recommended the adoption of the metric system (replacing
Bessel's toise) and the creation of an International Metre Commission. and
Moritz von Jacobi, whose theorem has long supported the assumption of an ellipsoid with three unequal axes for the figure of the Earth,
The International Metre Commission (1870/1872) Prior to the 1870 conference, French politicians had feared that the British might reject the existing metre and would prefer to have new value of its theoretical length. However,
James Clerk Maxwell wrote in 1865 that no scientist could become famous proposing a metre deduced from new measurements of the size of the Earth, while
Adolphe Hirsch would recall, in his 1891
obituary of Carlos Ibáñez e Ibáñez de Ibero, that the International Metre Commission had decided not to propose a new length for the metre. In July 1870, two weeks before the conference was due to start, the
Franco-Prussian War broke out. Although the delegates did meet (without a German delegation), it was agreed that the conference should be recalled once all the delegates (including the German delegation) were present. When the International Metre Commission was reconvened in 1872, it was proposed that new prototype metre and kilogram standards be manufactured to reproduce the values of the existing artifacts as closely as possible. Indeed, since its origin, the metre had kept a double definition; it was both the ten-millionth part of the quarter meridian and the length represented by the
Mètre des Archives. The first was historical, the second was metrological. There was much discussion, considering the opportunity either to keep as definitive the units represented by the metre and kilogram standards of the Archives, or to return to the primitive definitions, and to correct the units to bring them closer to them. The first solution prevailed, in accordance with common sense and in accordance with the advice of the French Academy of Sciences. Abandoning the values represented by the standards, would have consecrated an extremely dangerous principle, that of the change of units to any progress of measurements; the
Metric System would be perpetually threatened with change, that is to say with ruin.
The 1874 metre-alloy On 6 May 1873 during the 6th session of the French section of the Metre Commission,
Henri Étienne Sainte-Claire Deville cast a 20-kilogram platinum-iridium ingot from Matthey in his laboratory at the
École normale supérieure (Paris). On 13 May 1874, 250 kilograms of platinum-iridium to be used for several national prototypes of the metre was cast at the
Conservatoire national des arts et métiers.
Carlos Ibáñez e Ibáñez de Ibero intervened with the
French Academy of Sciences to rally France to the project to create an International Bureau of Weights and Measures equipped with the scientific means necessary to redefine the units of the
metric system according to the progress of sciences. In fact, the chemical analysis of the alloy produced in 1874 by the French section revealed contamination by
ruthenium and
iron which led the
International Committee for Weights and Measures to reject, in 1877, the prototypes produced by the French section from the 1874 alloy. It also seemed at the time that the production of prototypes with an X profile was only possible through the
extrusion process, which resulted in iron contamination. However, it soon turned out that the prototypes designed by
Henri Tresca could be produced by
milling. == The 1875 conferences in Paris ==