History of measurement

 This article incorporates public domain material from websites or documents of the National Institute of Standards and Technology.

Detail of a cubit rod in the Museo Egizio of Turin

Units of measurement were among the earliest tools invented by humans. Primitive societies needed rudimentary measures for numerous tasks such as: constructing dwellings of an appropriate size and shape, fashioning clothing, or bartering food or raw materials.

Present knowledge

Our present knowledge of early weights and measures comes from many sources. Archaeologists have recovered some rather early standards and preserved them in museums.^{[citation needed]} The comparison of the dimensions of buildings with the descriptions of contemporary writers is another source of information. An interesting example of this is the comparison of the dimensions of the Greek Parthenon with the description given by Plutarch from which a fairly accurate idea of the size of the Attic foot is obtained. In some cases, we have only plausible theories and we must sometimes select the interpretation to be given to the evidence.

By studying the evidence given by all available sources, and by correlating the relevant facts, we obtain some idea of the origin and development of the units. We find that they have changed more or less gradually with the passing of time in a complex manner because of a great variety of modifying influences. We find the units modified and grouped into measurement systems: the Babylonian system, the Egyptian system, the Phileterian system of the Ptolemaic age, the Olympic system of Greece, the Roman system, and the British system, to mention only a few.

Earliest known systems

The inhabitants of the Indus Valley Civilization (3000–1500 BC. Mature period 2600–1900 BC) developed a sophisticated procedure of standardization, using weights and measures, evident by the excavations made at the Indus valley sites. This technical standardization enabled gauging devices to be effectively used in angular measurement and measurement for construction. Calibration was also found in measuring devices along with multiple subdivisions in case of some devices.

The earliest known uniform systems of weights and measures seem all to have been created at some time in the 4th and 3rd millennia BC among the ancient peoples of Egypt, Mesopotamia and the Indus Valley, and perhaps also Elam (in Iran) as well. The most astounding of these ancient systems was perhaps that of the Indus Valley Civilization (ca. 2600 BC). The Indus Valley peoples achieved great accuracy in measuring length, mass, and time. Their measurements were extremely precise since their smallest division, which is marked on an ivory scale found in Lothal, was approximately 1.704 mm (1/16 inch), the smallest division ever recorded on a scale of the Bronze Age. The decimal system was thought to be used but in fact, feet and inches are a more accurate indication of the measure used. The measuring devices found in the Indus Valley actually meet the standards used in South Indian architecture and engineering which are feet and inches. In Tamil Nadu, the inch is used in architectural forms per traditional Vaastu Shastras. Traditional architectural forms are built to 1/16 of an inch which is the smallest unit of measure found in the Indus Valley. In addition, the "yard sticks" used in Indus Valley (and in Tamil Nadu) measure exactly 33 inches and are divided into 24 units of 1⅜ inches. The 1⅜ inch is considered to be an angula. A unit of measure 33 inches long is called a hasta, kishku or muzam. A half hasta was also found in the Indus Valley measuring exactly 16½ inches (12 angula at 1⅜ inches). This measure is currently used by traditional architects such as Dr. V. Ganapati Sthapati who comes from an ancient tradition of Shilpis. The discovery of the relationship between Indus Valley measurement (using feet and inches rather than metric measure) and current and traditional Indian architecture per Vaastu Shastras was made by Dr. Jessie J. Mercay, Chancellor of The American University of Mayonic Science and Technology.

Weights were based on units of 0.05, 0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 50, 100, 200, and 500, with each unit weighing approximately 28 grams, similar to the English ounce or Roman uncia, and smaller objects were weighed in similar ratios with the units of 0.871.

Other systems were based on the use of parts of the body and the natural surroundings as measuring instruments. Ancient Indian measurements related to the body are corelated to the finger measure of 1⅜ inch. This measure is found throughout the human body in increments. It is the measure used to build ancient temples and is precisely related to the Indus Valley measuring devices. Early Babylonian and Egyptian records and the Bible indicate that length was first measured with the forearm, hand, or finger and that time was measured by the periods of the sun, moon, and other heavenly bodies. When it was necessary to compare the capacities of containers such as gourds or clay or metal vessels, they were filled with plant seeds which were then counted to measure the volumes. When means for weighing were invented, seeds and stones served as standards. For instance, the carat, still used as a unit for gems, was derived from the carob seed.

History of units

Units of length

The Egyptian cubit, the Indus Valley units of length referred to above and the Mesopotamian cubit were used in the 3rd millennium BC and are the earliest known units used by ancient peoples to measure length. The measures of length used in ancient India included the dhanus (bow), the krosa (cry, or cow-call) and the yojana (stage).

The common cubit was the length of the forearm from the elbow to the tip of the middle finger. It was divided into the span of the hand (one-half cubit), the palm or width of the hand (one sixth), and the digit or width of the middle finger (one twenty-fourth) and the span or the length between the tip of little finger to the tip of the thumb. The Sacred Cubit, which was a standard cubit enhanced by an extra span—thus 7 spans or 28 digits long—was used in constructing buildings and monuments and in surveying in ancient Egypt. The inch, foot, and yard evolved from these units through a complicated transformation not yet fully understood. Some believe they evolved from cubic measures; others believe they were simple proportions or multiples of the cubit. In whichever case, the Greeks and Romans inherited the foot from the Egyptians. The Roman foot (~296 mm) was divided into both 12 unciae (inches) (~24.7 mm) and 16 digits (~18.5 mm). The Romans also introduced the mille passus (1000 paces) or double steps, the pace being equal to five Roman feet (~1480 mm). The Roman mile of 5000 feet (1480 m) was introduced into England during the occupation. Queen Elizabeth I (reigned from 1558 to 1603) changed, by statute, the mile to 5280 feet (~1609 m) or 8 furlongs, a furlong being 40 rod (unit)s (~201 m) of 5.5 yards (~5.03 m)each.

The introduction of the yard (0.9144 m) as a unit of length came later, but its origin is not definitely known. Some believe the origin was the double cubit, others believe that it originated from cubic measure. Whatever its origin, the early yard was divided by the binary method into 2, 4, 8, and 16 parts called the half-yard, span, finger, and nail. The association of the yard with the "gird" or circumference of a person's waist or with the distance from the tip of the nose to the end of the thumb of King Henry I (reigned 1100–1135) are probably standardizing actions, since several yards were in use in Britain. There were also Rods, Poles and Perches for measurements of length. The following table lists the equivalents.

Length
12 lines = 1 inch
12 inches = 1 foot
3 feet = 1 yard
1760 yards = 1 mile
36 inches = 1 yard
440 yards = quarter mile
880 yards = half mile

100 links = 1 chain
10 chains = 1 furlong
8 furlongs = 1 mile
4 inches = 1 hand
22 yards = 1 chain
5.5 yards = 1 rod, pole or perch
4 poles = 1 chain
40 poles = 1 furlong

Typographical units

The use in typography of the point, which was one twelfth of a ligne in the customary French measures of the Ancien régime, as a unit for measuring print type predates the metric system. Various typographic points were defined, including the Truchet point by Sébastien Truchet (1657–1729), the Fournier point by Pierre Simon Fournier in 1737 and the Didot point by the Didot brothers, Francois Ambroise and Pierre Francois, in 1755^{[citation needed]} or 1767^{[citation needed]} or 1783, which was exactly two Truchet points. The point was first used in the United States in 1878^{[citation needed]} or 1872 by a Chicago type foundry (Marder, Luse, & Co.).

The point was defined as 1/12 of a pica consisting of 1/6 of an inch truncated to thousandths of an inch (1/12 of 0.166 inches) in the USA in 1886 and was quickly adopted by Britain and its colonies;. This number has been approximated in various ways depending on the technology, prejudices, and information available to engineers involved in the production of typesetting machinery since then. Common approximations in use are 1/72.27 inch (now equal to 0.3514598 mm) and simply 1/72 of an inch. Other typographic points are used in other countries.

The pica in any of several related systems measures 12 points.

Units of mass

The grain was the earliest unit of mass and is the smallest unit in the apothecary, avoirdupois, Tower, and troy systems. The early unit was a grain of wheat or barleycorn used to weigh the precious metals silver and gold. Larger units preserved in stone standards were developed that were used as both units of mass and of monetary currency. The pound was derived from the mina used by ancient civilizations. A smaller unit was the shekel, and a larger unit was the talent. The magnitude of these units varied from place to place. The Babylonians and Sumerians had a system in which there were 60 shekels in a mina and 60 minas in a talent. The Roman talent consisted of 100 libra (pound) which were smaller in magnitude than the mina. The troy pound (~373.2 g) used in England and the United States for monetary purposes, like the Roman pound, was divided into 12 ounces, but the Roman uncia (ounce) was smaller. The carat is a unit for measuring gemstones that had its origin in the carob seed, which later was standardized at 1/144 ounce and then 0.2 gram.

Goods of commerce were originally traded by number or volume. When weighing of goods began, units of mass based on a volume of grain or water were developed. For example, the talent in some places was approximately equal to the mass of one cubic foot of water. Was this a coincidence or by design? The diverse magnitudes of units having the same name, which still appear today in our dry and liquid measures, could have arisen from the various commodities traded. The larger avoirdupois pound for goods of commerce might have been based on volume of water which has a higher bulk density than grain. For example, the Egyptian hon was a volume unit about 11 per cent larger than a cubic palm and corresponded to one mina of water. It was almost identical in volume to the present U.S. pint (~473 mL).

The stone, quarter, hundredweight, and ton were larger units of mass used in Britain. Today only the stone continues in customary use for measuring personal body weight. The present stone is 14 pounds (~6.35 kg), but an earlier unit appears to have been 16 pounds (~7.25 kg). The other units were multiples of 2, 8, and 160 times the stone, or 28, 112, and 2240 pounds (~12.7 kg, 50.8 kg, 1016 kg), respectively. The hundredweight was approximately equal to two talents. The ton of 2240 pounds is called the "long ton". The "short ton" is equal to 2000 pounds (~907 kg). A tonne (t) is equal to 1000 kg.

Units of time and angle

Hindu units of time on a logarithmic scale.

We can trace the division of the circle into 360 degrees and the day into hours, minutes, and seconds to the Babylonians who had sexagesimal system of numbers. The 360 degrees may have been related to a year of 360 days. Many other systems of measurement divided the day differently; other calendars divided the year differently.

Metric conversion

Main articles: Metrication and History of the metric system

The metric system was first described 1668, and officially adopted by France in 1799. Over the course of the 1800s and 1900s, it became the dominant system worldwide, with the largest exception being the United States.

See also

• Airy points
• Ancient Mesopotamian units of measurement
• Greek Systems
• History of measurement systems in India
• Imperial unit
• Mesures usuelles
• Megalithic yard
• Pseudoscientific metrology
• SI
• Systems of measurement
• Units of measurement
• U.S. customary unit
• Weights and measures
• Winchester measure

References

 This article incorporates public domain material from the National Institute of Standards and Technology document "Specifications, Tolerances, and Other Technical Requirements for Weighing (2002 edition)".

Further reading

• , Measures and Weights in the Islamic World. An English Translation of Professor Walther Hinz's Handbook “Islamische Maße und Gewichte“, with a foreword by Professor Bosworth, F.B.A. Kuala Lumpur, ISTAC, 2002, ISBN 983-9379-27-5. This work is an annotated translation of a work in German by the late German orientalist Walther Hinz, published in the Handbuch der Orientalistik, erste Abteilung, Ergänzungsband I, Heft 1, Leiden, The Netherlands: E. J. Brill, 1970.
• Scales and Weights: A Historical Outline, Bruno Kisch. (New Haven: Yale University Press, 1965. Based in part on the Edward C. Streeter collection at Yale Medical Historical Library