Picard, for the first time in France, began to regulate the methods
that were used for measuring a degree, and in 1669, by measuring the
celestial and terrestrial arcs between Paris and Amiens, found that
a degree was equal to 57,060 toises, equivalent to 364,876 English
feet, or about 69.1 miles. Picard's measurement was continued either
way across the French territory as far as Dunkirk and Collioure by
Dominic Cassini and Lahire (1683-1718), and it was verified in 1739,
from Dunkirk to Perpignan, by Francis Cassini and Lacaille; and at
length Méchain carried it as far as Barcelona in Spain; but after
his death (for he succumbed to the fatigue attending his operations)
the measurement of the meridian in France was interrupted until it
was subsequently taken up by Arago and Biot in 1807. These two men
prolonged it as far as the Balearic Isles, so that the arc now extended
from Dunkirk to Formentera, being equally divided by the parallel of
lat. 45° N., half way between the pole and the equator; and under
these conditions it was not necessary to take the depression of the
earth into account in order to find the value of the quadrant of the
meridian. This measurement gave 57,025 toises as the mean value of an
arc of a degree in France.
It can be seen that up to that time Frenchmen especially had undertaken
to determine that delicate point, and it was likewise the French
Convention that, according to Talleyrand's proposition, passed a
resolution in 1790, charging the Academy of Sciences to invent an
invariable system of weights and measures. Just at that time the
statement signed by the illustrious names of Borda, Lagrange, Laplace,
Monge, and Condorcet, proposed that the unit of measure should be the
_mètre_, the ten-millionth part of the quadrant of the meridian; and
that the unit of weight should be the _gramme_, a cubic centimètre
of distilled water at the freezing-point; and that the multiples and
subdivisions of every measure should be formed decimally.
Later, the determinations of the value of a terrestrial degree were
carried on in different parts of the world, for the earth being not
spherical, but elliptic, it required much calculation to find the
depression at the poles.
In 1736, Maupertuis, Clairaut, Camus, Lemonnier, Outhier, and the
Swedish Celsius measured a northern arc in Lapland, and found the
length of an arc of a degree to be 57,419 toises. In 1745, La
Condamine, Bouguer, and Godin, set sail for Peru, where they were
joined by the Spanish officers Juan and Antonio Ulloa, and they then
found that the Peruvian arc contained 56,737 toises.
In 1752, Lacaille reported 57,037 toises as the length of the arc he
had measured at the Cape of Good Hope.
In 1754, Father Boscowitch and Father le Maire began a survey of the
Papal States, and in the course of their operations found the arc
between Rome and Rimini to be 56,973 toises.
Public-domain text, read in full here on John Shaqi.
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