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Home > Historical weights and measures


 

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.

1 The systems of antiquity

1.1 Main systems in antiquity

1.1.1 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.
1.1.1.1 Length
1.1.1.2 Area
1.1.1.3 Volume
1.1.1.4 Weight and monetary
1.1.1.5 Time

1.1.2 Egyptian system

Much of the EgyptJumhuriyat Misr al-Arabiyah ( In Detail) Official language Arabic Capital Cairo Largest City Cairo President Hosni Mubarak Prime Minister Ahmed Nazif Area Total % water Ranked 29th 1,001,450 km² 0. 6% Population Total (2003) Density Ranked 15th 74,718,797ian system of measurement is based on the Mesopotamian. 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 pharaohThis article refers to the historical Pharaoh. For Pharaoh in the Book of Abraham, see Pharaoh (Book of Abraham). Pharaoh Standard Hebrew Paro Tiberian Hebrew Paroh is a title used to refer to the kings (of godly status) in ancient Egypt. See History of E devised a standard (master) cut in graniteGranite is a common and widely-occurring group of intrusive felsic igneous rocks that form at great depths and pressures under continents. Granite consists of orthoclase and plagioclase feldspars, quartz, hornblende, biotite, muscovite and minor accessory. 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 numberIn mathematics, an irrational number is any real number that is not a rational number, i. one that cannot be written as a fraction a ''b with a and b integers, and b not zero. It can readily be shown that the irrational numbers are precisely those numbers. 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.

The Egyptians were of fine geometers. They could not calculate the radix of two, but they could draw it. Discovering a good approximation in trigonometry: "Twenty times the radix of two, divided by 28, is very close to unit." So, they wanted to have a 28-digit cubit.


 By the theoretical value of the Mesopotanian 30-digit Nippur Cubit equal :  518 616 µm.
The Egyptian Remen (pygon)
equal
20 / 28
Nippur Cubit (ell)
=
37.044 cm
The Old Egyptian Royal Cubit
equal
20√2 / 28
Nippur Cubit (ell)
~
52.388 cm
The Egyptian Royal Cubit
equal
20√2 / 28
Old Royal Cubit
=
52.920 cm


Note, that the well-known "megalithic yard" (~ 83 cm) and the "Nippur cubit" are related by simple ratio 16 : 10.  The theoretical "length of Roman barleycorn" is exactly  8 252 µm.



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