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Historical weights and measures

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Many systems of weights and measures have existed throughout history. The definitions of some of these units were often vague and inaccurate, and although the roots of many of the units were the same, the actual value of a unit differed from country to country, or epoch to epoch. That fact should not lead to a conclusion that historical units of measure were inaccurate in general. Many units were defined to a high precision, and standards of measurement were in many cases excellent. As a case in point, the Great Pyramid of Giza was built to a precision of 15 mm over sides that are 235 m, over four and a half thousand years ago.

Table of contents
1 Mesopotamian system
2 Vedic system
3 Persian system
4 Arabic system
5 Egyptian system
6 Greek system
7 Roman system
8 English system
9 Scottish system
10 Spanish system
11 French system
12 Volume
13 Weight
14 German system
15 Volume
16 Danish system
17 Weight
18 Norwegian system
19 Volume
20 Swedish system
21 Volume
22 Finnish system
23 US system
24 See also
25 References
26 External links

Mesopotamian system

Mesopotamia includes a number of cultures. The Sumerian number system uses a base 60 positional notation, and is the origin for the division of 60 for hours and angles.

Length

Area

  • sar -- Garden plot (Sumerian)
  • iku -- "Plot of land enclosed by a boundary dike/canal", 100 sar. Probably 120 ·120 cubit²

Volume

  • log -- 0.54 l
  • homer -- 720 log

Weight and monetary

Time

Vedic system

Vedic measures were first used by the Indian Vedic civilization, and are still in use today?primarily for religious purposes in Hinduism and Jainism.

See also: Vedic units of time

Persian system

The
Persian system had influence on the Greek system, at least. The ghalva (stadion) and parasang were much used as a land measure. There are significant uncertainty, though.

Length

Volume

Arabic system

The
Arabic system is based on the Persian system.

Length

  • assbaa -- Finger, 1 / 4 palm
  • cabda -- Palm, 1 / 4 foot
  • foot -- Base unit, 0.32 m
  • arsh -- Cubit, traditionally 2 feet, new definition 3 / 2 feet
  • orgye -- Pace, 6 feet
  • qasab -- Cane, 12 feet
  • seir -- Stadion, 600 feet
  • ghalva -- 720 feet
  • farasakh -- League, from parasang, 18000 feet, 5.76 km.
  • barid -- 4 farasakh
  • marhala -- 8 farasakh

Egyptian system

Much of the
Egyptian system of measurement is based on the Persian. The Egyptian system in its turn formed the basis of the later Greek system. The Egyptians based their measurements on the Royal cubit, for which the pharaoh devised a standard (master) cut in granite. From these standards, it is clear that accuracies in measurements of at least 1/16 yeba (1 mm) were possible. Note also the cubit and remen which has a ratio that constitutes an irrational number. The Egyptian system was also noteworthy in having units for volume derived from the standard for length. While the Royal cubit is a very well defined unit, uncertainty is connected to the units for land measurement, especially when the Greek stadion and schoinos units came in use.

Length

Area

  • setat -- 100 · 100 Royal cubit², also aura
  • jata -- 100 setat, is said to be used to this day.
  • remen -- 1 / 2 setat
  • hebes -- 1 / 4 setat
  • sa -- 1/8 setat

Volume

Weight

Time

Miscellaneous

  • seked -- Unit of inclination, also seqt. Indicates horizontal dimension measured in palms (and digits fractions as necessary) per vertical Royal cubit rise. E.g. 5 seked is 54.46°, 5 1/4 seked is 53.13°, 5 1/2 seked is 51.84°.
  • shaty -- 1 / 6 silver deben or 1 / 3 lead deben

Greek system

The
Greek system was built mainly upon the Egyptian, and formed the basis of the later Roman system.

Length

Volume

Weight and monetary

Miscellaneous

  • myriade -- 10.000

Roman system

The
Roman system of measurement was built on the Greek system, and lives on to this day in the form of the Imperial system. The Roman units were accurate and well documented. Distances may have been measured by odometers connected to carriage axles, for instance. The definition of some units changed over time, however. For the libra, quite significantly so.

Length

Area

  • actus -- Furrow, 120 · 4 pedes²
  • actus quadratus -- Furrow squared, 120² pedes²
  • iugerum -- Acre, also jugerum, (pl. iugera), 2 actus quadratus
  • heredium -- Heritable plot (pl. heredia), 2 iugera
  • centurium -- Houndred (pl. centuria), 100 heredia
  • saltus -- 4 centuria
  • scriptulum -- Sometimes used for 1/288 iugerum

Volume

Weight and monetary

Time

English system

Before the Roman based measurement system was introduced from
1066 onwards, there existed a Anglo-Saxon system of measure based on the units of the barleycorn and the gyrd (rod). This presumably had Germanic origins. Later development of the British system continued by defining the units by law in the Magna Carta of 1215, and issuing measurement standards from the then capital Winchester. Standards were renewed in 1496, 1588 and 1758. The last Imperial Standard Yard in bronze was made in 1845. See: Imperial system of units

Length

Area

  • acre -- Saxon unit, meaning "field", one furlong by 4 rods. Probably meant to be "as much area as could be plowed in one day".

Weight

Miscellaneous

  • score -- 20

Scottish system

Length

  • inch -- 2.554 cm
  • foot -- 12 inches, 30.645 cm
  • ell -- Elbow, 37 Scots inches. 94.5 cm
  • fall -- 18 Scots feet
  • mile -- 320 falls, 1814.2 m

Spanish system

There were several variants, the Castilian is shown.

Length

French system

In
France, again, there were many local variants. For instance, the lieue could vary from 3.268 km in Beauce to 5.849 km in Provence.

Length

Volume

  • litron --

Weight

German system

Up to the introduction of the metric system, almost every town in Germany had their own definitions. It is said that by 1810, only in Baden there were 112 different Ellen.

Length

Volume

  • Klafter -- For firewood, 2.905 m³

Danish system

From
May 1 1863, king Christian V of Denmark introduced an office to oversee weights and measures, a justervesen, to be led by Ole R?er. The definition of the alen was set to 2 Rhine feet. R?er later discovered that differeing standards for the Rhine foot existed, and in 1698 an iron Copenhagen standard was made. A pendulum definition for the foot was introduced in 1820, and changed in 1835. The metric system was introduced in 1907.

Length

Volume

Weight

Miscellaneous

  • dusin -- 12
  • snes -- 20
  • gross -- 144

Norwegian system

Before
1541, there were no common definition for length measures in Norway, and local variants flourished. In 1541, an alen in Denmark and Norway was defined by law to be the Sj?land alen. Subsequently, the alen was defined by law as 2 Rhine feet from 1683. From 1824, the basic unit was defined as a fot being derived from astronomy as the length of a one second pendulum times 12/38 at a latitude of 45°. The metric system was introduced in 1887.

Length

Area

Volume

Weight

Nautical

Monetary

Miscellaneous

  • tylvt -- 12, also dusin
  • sneis -- 20
  • stort hundre -- Large hundred, 120
  • gross -- 144

Swedish system

In
Sweden, a common system for weights and measures was introduced by law in 1665. Before that, there were a number of local variants. The system was slightly revised in 1735. In 1855, a decimal reform was instuted that defined a new Swedish inch as 1/10 foot. It did not last long, because the metric system was subsequently introduced in 1889. Up to the middle of the 19th century there was a death penalty for falsifying weights or measures.

Length

Area

Volume

  • pot -- Pot (pl pottor), 0.966 l
  • tunna -- 2 spann
  • ankare -- Liquid measure, 39.26 l
  • ohm -- Also ?, 155 pottor
  • storfavn -- 3.77 m³
  • kubikkfavn -- 5.85 m³

Weight

Nautical

Monetary

Finnish system

In
Finland, approximate measures derived from body parts and were used for a long time, some being later standardised for the purpose of commerce. Some Swedish, and later some Russian units have also been used.

US system

The
US systen is based on the English system from the 1700s. See U.S. customary units.

See also

References

  • Measure for Measure, Richard Young and Thomas Glover, ISBN 1-889796-00-X.
  • Masse und Gewichte, Marvin A. Powell
  • The Civilisation of Ancient Egypt, Paul Johnson
  • The Weights and Measures of England, R. A. Connor
  • World Weights and Measures. Handbook for Statisticians, UN Department of Economic and Social Affairs
  • Lexikon der M?zen, Ma?, Gewichte, Z?larten und Zeitgr?en aller L?der der Erde, Richard Klimpert, 1896
  • Grand dictionnaire universel du XIXe si?le, Pierre Larousse, 1874
  • De gamle danske l?gdeenheder, N.E. N?lund, 1944
  • M? og v?t, Poul Rasmussen, 1967.
  • Med m?t m?t - Svenska och utl?dska m?t genom tiderna, Albert Carlsson, ISBN 91-36-03157-7.

External links