出典(authority):フリー百科事典『ウィキペディア(Wikipedia)』「2013/02/27 01:48:14」(JST)
SI units | |
0.0254 m | 25.4 mm |
US customary/Imperial units | |
1⁄36 yd | 1⁄12 ft |
An inch (plural: inches; abbreviation or symbol: in or ″ – a double prime) is a unit of length in a number of systems of measurement, including the imperial and United States customary systems. One imperial or US customary inch is defined as 1⁄12 of a foot and is therefore 1⁄36 of a yard. Traditional standards for the exact length of an inch have varied, but it is now defined to be exactly 25.4 mm.
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The inch is a commonly used customary unit of length in the United States,[1] Canada,[2][3] and the United Kingdom.[4] For the United Kingdom, guidance on public sector use states that since 1 October 1995, without time limit, that the inch (along with the mile, yard and foot) is to be used as a primary unit for road signs and related measurements of distance and speed and may continue to be used as a secondary or supplementary indication following a metric measurement for other purposes.[4]
The international standard symbol for inch is in (see ISO 31-1, Annex A) but traditionally the inch is denoted by a double prime, which is often approximated by double quotes, and the foot by a prime, which is often approximated by an apostrophe. For example three feet two inches can be written as 3′ 2″. Subdivisions of an inch are typically written using dyadic fractions with odd number numerators; for example, two and three eighths of an inch would be written as 2 3⁄8″ and not as 2.375″ nor as 2 6⁄16″.
1 international inch is equal to:
The English word inch comes from Latin uncia meaning "one-twelfth part" (in this case, one twelfth of a foot); the word ounce (one twelfth of a troy pound) has the same origin. The vowel change from u to i is umlaut; the consonant change from c (pronounced as k) to ch is palatalisation (see Old English phonology).
In some other languages, the word for "inch" is similar to or the same as the word for "thumb"; for example, Catalan: polzada inch, polze thumb; French: pouce inch/thumb; Italian: pollice inch/thumb; Spanish: pulgada inch, pulgar thumb; Portuguese: polegada inch, polegar thumb; Swedish: tum inch, tumme thumb; Dutch: duim inch/thumb; Slovak: palec inch/thumb; Hungarian: hüvelyk inch/thumb, Danish and Norwegian: tomme / tommer inch/inches and tommel thumb. Given the etymology of the word "inch", it would seem that the inch is a unit derived from the foot unit in Latin in Roman times.
The earliest known reference to the inch in England is from the Laws of Æthelberht dating to the early 7th century, surviving in a single manuscript from 1120.[6] Paragraph LXVII sets out the fine for wounds of various depths: one inch, one shilling, two inches, two shillings, etc. "Gif man þeoh þurhstingð, stice ghwilve vi scillingas. Gife ofer ynce, scilling. æt twam yncum, twegen. ofer þry, iii scill."[7][8]
An Anglo-Saxon unit of length was the barleycorn. After 1066, 1 inch was equal to 3 barleycorn, which continued to be its legal definition for several centuries, with the barleycorn being the base unit.[9] One of the earliest such definitions is that of 1324, where the legal definition of the inch was set out in a statute of Edward II of England, defining it as "three grains of barley, dry and round, placed end to end, lengthwise".[9]
Similar definitions are recorded in both English and Welsh medieval law tracts.[10] One, dating from the first half of the 10th century, is contained in the Laws of Hywel Dda which superseded those of Dyvnwal, an even earlier definition of the inch in Wales. Both definitions, as recorded in Ancient Laws and Institutes of Wales (vol i., pp. 184,187,189), are that "three lengths of a barleycorn is the inch".[11]
King David I of Scotland in his Assize of Weights and Measures (c. 1150) is said to have defined the Scottish inch as the width of an average man's thumb at the base of the nail, even including the requirement to calculate the average of a small, a medium, and a large man's measures.[12] However, the oldest surviving manuscripts date from the early 14th century and appear to have been altered with the inclusion of newer material.[13]
Charles Butler, a mathematics teacher at Cheam School, in 1814 recorded the old legal definition of the inch to be "three grains of sound ripe barley being taken out the middle of the ear, well dried, and laid end to end in a row", and placed the barleycorn, not the inch, as the base unit of the English Long Measure system, from which all other units were derived.[14] John Bouvier similarly recorded in his 1843 law dictionary that the barleycorn was the fundamental measure.[15] Butler observed, however, that "[a]s the length of the barley-corn cannot be fixed, so the inch according to this method will be uncertain", noting that a standard inch measure was now (by his time) kept in the Exchequer chamber, Guildhall, and that was the legal definition of the inch.[14] This was a point also made by George Long in his 1842 Penny Cyclopædia, observing that standard measures had since surpassed the barleycorn definition of the inch, and that to recover the inch measure from its original definition, in the event that the standard measure were destroyed, would involve the measurement of large numbers of barleycorns and taking their average lengths. He noted that this process would not perfectly recover the standard, since it might introduce errors of anywhere between one hundredth and one tenth of an inch in the definition of a yard.[16]
The now obsolete Scottish inch (Scottish Gaelic: òirleach), 1⁄12 of a Scottish foot, was about 1.0016 imperial inches (about 2.5441 cm).[17] It was used in the popular expression Gie 'im an inch, an he'll tak an ell., in English "Give him an inch and he'll take an ell.", first published as "For when I gave you an inch, you tooke an ell." by John Heywood in 1546.[18] (The ell, equal to 37 inches (about 94 cm), was in use in England until 1685.)[19]
The current internationally accepted value for the imperial and US customary inch is exactly 25.4 millimetres. This is based on the international yard of exactly 0.9144 metres adopted through the International Yard and Pound agreement in 1959.[20] Before the adoption of the international inch various definitions were in use. In the United Kingdom and most countries of the British Commonwealth[citation needed] the inch was defined in terms of the Imperial Standard Yard. The US inch was defined as approximately 25.4 millimetres by an act in 1866 (via a formula between the yard and the metre),[citation needed] refined slightly by the Mendenhall Order of 1893 to be 1⁄39.37 of a metre (approximately 25.40005 mm).[21]
In 1930 the British Standards Institution adopted an inch of exactly 25.4 mm. The American Standards Association followed suit in 1933. By 1935 industry in 16 countries had adopted the "industrial inch" as it came to be known.[22][23]
In 1946 the Commonwealth Science Congress recommended a yard of exactly 0.9144 metres for adoption throughout the British Commonwealth. This was adopted by Canada in 1951.[24] The United States, the United Kingdom, Canada, Australia, New Zealand and South Africa signed a treaty agreeing to the same standards on 1 July 1959.[25] This gives an inch of exactly 25.4 mm. However, the US retains the 1⁄39.37-metre definition for survey purposes creating a slight difference between the international and US survey inches.
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