
Some human-referenced units of measurement
Units of measurement were among the earliest tools invented by humans. Primitive societies needed rudimentary measures for many tasks: constructing dwellings of an appropriate size and shape, fashioning
clothing, or
bartering food or
raw materials.
The earliest known uniform systems of weights and measures seem to have all been created sometime 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 1.704mm, the smallest division ever recorded on a scale of the
Bronze Age. The
decimal system was used.
Harappan engineers followed the decimal division of measurement for all practical purposes, including the measurement of mass as revealed by their hexahedron weights. 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. 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.
Our present knowledge of early
weights and measures comes from many sources.
Archaeologists have recovered some rather early standards and preserved them in museums. 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.
For example, does the fact that the length of the
double-cubit of early Babylonia was equal (within two parts per thousand) to the length of the seconds
pendulum at Babylon suggest a scientific knowledge of the pendulum at a very early date, or do we merely have a curious coincidence? 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.
History of units
Units of length
The Egyptian
cubit,
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 jojana (stage).
There were several cubits of different magnitudes that were used. 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 little finger to the tip of the thumb. The Royal or Sacred Cubit, which was 7 palms or 28 digits long, was used in constructing buildings and monuments and in surveying. 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 any 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 unit ''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
rods (~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.
Typographical units
The
point, which is a unit for measuring print type, is recent. It originated with
Pierre Simon Fournier in 1737. It was modified and developed by the Didot brothers, Francois Ambroise and Pierre Francois, in 1755. The point was first used in the United States in 1878 by a Chicago type foundry (Marder, Luse, and Company). Since 1886, a point has been exactly 0.3514598 millimeters, or 1/72.27 inch.
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
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. also see(''marshalls'')