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Traditional French units of measurement
Woodcut dated 1800 illustrating the new decimal units which became the legal norm across all France on 4 November 1800

The traditional French units of measurement prior to metrication were established under Charlemagne during the Carolingian Renaissance. Based on contemporary Byzantine and ancient Roman measures, the system established some consistency across his empire but, after his death, the empire fragmented and subsequent rulers and various localities introduced their own variants. Some of Charlemagne's units, such as the king's foot (French: pied du Roi) remained virtually unchanged for about a thousand years, while others important to commerce—such as the French ell (aune) used for cloth and the French pound (livre) used for amounts—varied dramatically from locality to locality. By the 18th century, the number of units of measure had grown to the extent that it was almost impossible to keep track of them and one of the major legacies of the French Revolution was the dramatic rationalization of measures as the new metric system. The change was extremely unpopular, however, and a metricized version of the traditional units—the mesures usuelles—had to be brought back into use for several decades.

History

Table of the measuring units used in the 17th century at Pernes-les-Fontaines in the covered market at Provence-Alpes-Côte d'Azur region of southeastern France

Although in the pre-revolutionary era (before 1795) France used a system and units of measure that had many of the characteristics of contemporary English units (or the later Imperial System of units), France still lacked a unified, countrywide system of measurement. Whereas in England the Magna Carta had decreed that "there shall be one unit of measure throughout the realm", Charlemagne and successive kings had tried but failed to impose a unified system of measurement in France.[1]

The names and relationships of many units of measure were adopted from Roman units of measure, and many more were added – it has been estimated that there were seven or eight hundred different names for the various units of measure. Moreover, the quantity associated with each unit of measure differed from town to town and even from trade to trade. Some of the differences were large: for example the lieue (league) could vary from 3.268 km in Beauce to 5.849 km in Provence. It has been estimated that on the eve of the Revolution a quarter of a million different units of measure were in use in France.[2] Although certain standards, such as the pied du Roi (the King's foot) had a degree of pre-eminence and were used by savants, many traders chose to use their own measuring devices, giving scope for fraud and hindering commerce and industry.[1]

Tables of units of measure

17th-century engraving of the Grand Châtelet
Flood levels at the pont Wilson at Tours in both metres and pied royal

These definitions use the Paris definitions for the coutume of Paris,[3] and definitions for other Ancien régime civil jurisdictions varied, at times quite significantly.

Length

The medieval royal units of length were based on the toise, and in particular the toise de l'Écritoire, the distance between the fingertips of the outstretched arms of a man, which was introduced in 790 by Charlemagne.[4]

The toise had 6 pieds (feet) each of 326.6 mm (12.86 in). In 1668 the reference standard was found to have been deformed, and it was replaced by the toise du Châtelet which, to accommodate the deformation of the earlier standard, was around 11 mm (0.55%) shorter.

In 1747 this toise was replaced by a new toise of near-identical length – the Toise du Pérou, custody of which was given to l'Académie des Sciences au Louvre.[5]

Although the pouce (inch), pied (foot) and toise (fathom) were fairly consistent throughout most of pre-revolutionary France, some areas had local variants of the toise. Other units of measure such as the aune (ell), the perche (perch or rood), the arpent and the lieue (league) had a number of variations, particularly the aune (which was used to measure cloth).[6]

The loi du 19 frimaire an VIII (Law of 10 December 1799) states that one decimal metre is exactly 443.296 French lines, or 3 pieds 11.296 lignes de la "Toise du Pérou".[7] Thus the French royal foot is exactly 9000/27 706 metres (about 0.3248 m).[8]

In Quebec, the surveys in French units were converted using the relationship 1 pied (of the French variety, the same word being used for English feet as well) = 12.789 English inches.[9] This makes the Quebec pied very slightly smaller (about 4 parts in one million) than the pied used in France.

Table of length units
Unit Relative
value
(pieds)
SI
value
(approx.)
Imperial
value
(approx.)
Notes
point 11728 0.188 mm 7.401 thou 112 of a ligne. This unit is usually called the Truchet point in English. Prior to the French Revolution the Fournier point was also in use. It was 16 of a ligne or 1864 of the smaller French foot.
ligne 1144 2.256 mm 88.81 thou 112 of a pouce. This corresponds to the line, a traditional English unit.
pouce 112 27.07 mm 1.066 in 112 of a pied du roi. This corresponds to the inch, a traditional English unit.
pied du roi 1 32.48 cm 1.066 ft Commonly abbreviated to pied, this corresponds to the foot, a traditional English unit. Known in English as the Paris foot (properly a separate, shorter unit), the royal foot, or French foot.
toise 6 1.949 m 6.394 ft, or
2.131 yd
Six pieds du roi. This corresponds to the fathom, a traditional English unit. Unlike the fathom, it was used in both land and sea contexts.
The Toise du Chatelet was introduced in 1668 and defined by an iron bar on the Grand Chatelet. This was replaced by the Toise du Perou in 1766.[10]
Paris
perche d'arpent 22 7.146 m 7.815 yd Related to, but not directly corresponding with, the English perch or rod (which is 16+12 feet, approximately three-quarters of the French perche).
arpent 220 71.46 m 78.15 yd Ten perches.
lieue ancienne 10 000 3.248 km 2.018 miles This is an old French league, defined as 10 000 (a myriad) pieds. It was the official league in parts of France until 1674.
lieue de Paris 12 000 3.898 km 2.422 miles This league was defined in 1674 as exactly 2000 '. After 1737, it was also called the "league of bridges and roads" (lieue des Ponts et des Chaussées).
lieue des Postes 13 200 4.288 km 2.664 miles This league is 2200 toises or 60 arpents. It was created in 1737.
lieue de 25 au degré ~13 692 4.448 km 2.764 miles Linked to the circumference of the Earth, with 25 lieues making up one degree of a great circle. (Compare the international nautical mile, of which 60 make one degree; one lieue therefore equaling 2.4 nautical miles.) It was measured by Picard in 1669 to be 2282 toises.
lieue tarifaire 14 400 4.678 km 2.907 miles This league is 2400 toises. It was created in 1737.
North America
perche du roi 18 5.847 m 6.394 yd This perch was used in Quebec and Louisiana
arpent (du roi) 180 58.47 m 63.94 yd Ten perches du roi.
Local
perche ordinaire 20 6.497 m 7.105 yd This perch was used locally.
arpent (ordinaire) 200 64.97 m 71.05 yd Ten perches ordinaires.
  • The French typographic point, the Didot point, was 172 of a French inch, i.e. two royal points. The French pica, called Cicéro, measured 12 Didot points or 16 inch.

Area

Table of area units
Unit Relative
value
(pieds carrés)
SI
value
Imperial
value
Notes
pied carré 1 ~1055 cm2 ~1.136 sq ft The French square foot
toise carrée 36 ~3.799 m2 ~40.889 sq ft, or
~4.543 sq yd
The French square fathom
Paris
perche d'arpent carrée 484 ~51.07 m2 ~61.08 sq yd This was the main square perch in old French surveying. It is a square 22 pieds du roi on each side.
vergée 12 100 ~1277 m2 ~1527 sq yd A square 5 perches on each side, or one quarter of an acre.
acre, or
arpent carré
48 400 ~5107 m2 ~6108 sq yd, or
~1.262 acres
The French acre is a square 10 perches (one arpent) on each side. (Does not exactly correspond to the English acre, which is defined as 43 560 square feet.)
North America
perche du roi carrée 324 ~34.19 m2 ~40.89 sq yd This square perch was used in Quebec and Louisiana. It is a square 18 pieds du roi on each side.
vergée (du roi) 8100 ~854.7 m2 ~1022 sq yd A square 5 perches du roi on each side.
acre (du roi), or
arpent carré
32 400 ~3419 m2 ~4089 sq yd, or
~0.8448 acres
A square 10 perches du roi on each side. Certain U.S. states have their own official definitions for the (square) arpent, which vary slightly from this value.
Local
perche (ordinaire) carrée 400 ~42.21 m2 ~50.48 sq yd This square perch was used locally. It is a square 20 pieds du roi on each side.
vergée (ordinaire) 10 000 ~1055 m2 ~1262 sq yd A square 5 perches ordinaires on each side.
acre (ordinaire), or
arpent carré
40 000 ~4221 m2 ~5048 sq yd, or
~1.043 acres
A square 10 perches ordinaires on each side.

Volume – liquid measures

Table of (liquid) volume units
Unit Relative
value
(pintes)
SI
value
U.S.
value
Imperial
value
Notes
roquille 132 ~29.75 ml One quarter of a poisson.
poisson 18 ~119 ml A measure equal to a half a demiard. There were different sizes based on the commodity measured: poisson de vin (wine), poisson de eau de vie (brandy), or poisson de lait (milk).[11]
demiard 14 ~238 ml ~0.5 pint demi in French means "half": in this case, half a chopine, and – coincidentally – also approximately half a US pint .
chopine 12 ~476.1 ml ~1 pint ~0.84 pint
pinte 1 ~952.1 ml ~2.01 pint ~1.68 pint Although etymologically related to the English unit pint, the French pint is about twice as large. It was the main small unit in common use, and measured 136 of a cubic pied du roi.
quade 2 ~1.904 L ~0.5 gallon ~0.42 gallon
velte 8 ~7.617 L ~2.01 gallon ~1.68 gallon a velte was a measuring stick that was inserted into a cask or barrel to determine its depth.
quartaut 72 ~68.55 L 9 veltes, or two cubic pieds du roi.
feuillette 144 ~137.1 L
muid 288 ~274.2 L Eight cubic pieds du roi.
cubic
pouce cube 148 ~19.84 ml The French cubic inch.
pied cube 36 ~34.28 L The French cubic foot. In ancient times, a cubic foot was also known as an amphora when measuring liquid volume.

Volume – dry measures

Table of (dry) volume units
Unit Relative
value
(boisseaux)
SI
value
Imperial
value
U.S.
value
Notes
litron 116 793.5 cm3 0.1745 imp gal 0.1801 U.S. dry gal 14 of a quart. The litre is etymologically related to this unit.
quart 14 3.174 dm3 0.698 imp gal 0.721 U.S. dry gal 14 of a boisseau.
boisseau 1 12.7 dm3 2.8 imp gal 2.9 U.S. dry gal Although etymologically related to the English unit bushel, the French bushel is about one third the size. A boisseau was defined as 1027 of a cubic pied du roi.
minot 3 38.09 dm3 8.38 imp gal 8.65 U.S. dry gal
mine 6 76.17 dm3 16.76 imp gal 17.29 U.S. dry gal
setier 12 152.3 dm3 33.5 imp gal 34.6 U.S. dry gal
muid 144 1.828 m3 402 imp gal 415 U.S. dry gal
cubic
pouce cube 1640 ~19.84 cm3 ~1.211 cu in The French cubic inch.
pied cube 2+710 ~34.28 dm3 ~2,092 cu in The French cubic foot. Exactly 2.7 boisseaux.

Mass

The Parisian equivalents (in livres) of 100 local livres in various towns in 1768[12]
(approximations per source)
Abbeville 93–94
Avignon 83
Beaucare 95
Bordeaux 100
Bourg-en-Bresse 96
Dunkirk 87
Lille 87–88
Lyon 87
Marseilles 81
Montepellier 83
Nancy 94–95
Nantes 101–102
La Rochelle 101–102
Rouen (poids de vicomté) 103
Strasbourg (petit poids) 96
Toulouse 84
Zdroj:https://en.wikipedia.org?pojem=Traditional_French_units_of_measurement
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Differences between the nominal and actual weights (in marcs moyens) in the parts of the pile de Charlemagne as measured by Jean-Charles de Borda[13]
Nominal
(marcs)
Error in actual
(grains)
20 +1.4
14 +4.5