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{{Other uses|Digit (disambiguation){{!}}Digit}} | {{Other uses|Digit (disambiguation){{!}}Digit}} | ||
] of ], showing digit, palm, hand and fist lengths]] | ] of ], showing digit, palm, hand and fist lengths]] | ||
] | |||
The '''digit''' or '''finger''' is an ancient and obsolete non-] ] of ]. It was originally based on the breadth of a human finger.<ref name=brit/> It was a fundamental unit of length in the ], ], ], ] and ] systems of measurement. |
The '''digit''' or '''finger''' is an ancient and obsolete non-] ] of ]. It was originally based on the breadth of a human finger.<ref name=brit/> It was a fundamental unit of length in the ], ], ], ] and ] systems of measurement. | ||
In astronomy a digit is one twelfth of the diameter of the sun or the moon.< |
In astronomy a digit is one twelfth of the diameter of the sun or the moon.<ref name=11th/> | ||
==History== | ==History== | ||
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The digit, also called a finger or fingerbreadth, is a unit of measurement originally based on the breadth of a human finger. In Ancient Egypt it was the basic unit of subdivision of the ].<ref name=brit/> | The digit, also called a finger or fingerbreadth, is a unit of measurement originally based on the breadth of a human finger. In Ancient Egypt it was the basic unit of subdivision of the ].<ref name=brit/> | ||
On surviving ] ], the ] is divided into seven ] of four digits or fingers each.<ref name=selin/> The royal cubit measured approximately 525 mm,<ref name=lepsius/> so the length of the ancient Egyptian digit was about 19 mm. | On surviving ] ], the ] is divided into seven ] of four digits or fingers each.<ref name=selin/> The royal cubit measured approximately 525 mm,<ref name=lepsius/> so the length of the ancient Egyptian digit was about 19 mm. | ||
{| class="wikitable |
{| class="wikitable"| style="margin: 1em auto 1em auto; width: 75%; nowrap" | ||
|+'''Ancient Egyptian units of length'''<ref name=clagett/> | |+'''Ancient Egyptian units of length'''<ref name=clagett/> | ||
!|Name!! |Egyptian name!!align="center"|Equivalent Egyptian values!! |Metric equivalent | !|Name!! |Egyptian name!!align="center"|Equivalent Egyptian values!! |Metric equivalent | ||
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{{main|Ancient Mesopotamian units of measurement}} | {{main|Ancient Mesopotamian units of measurement}} | ||
In the classical ] system instituted in about |
In the classical ] system instituted in about 2250 BC during the reign of ], the finger was one-thirtieth of a cubit length. The cubit was equivalent to approximately 497 mm, so the finger was equal to about 17 mm. Basic length was used in architecture and field division. | ||
{| class="wikitable |
{| class="wikitable"| style="margin: 1em auto 1em auto; nowrap" | ||
|+ Mesopotamian units of length | |+ Mesopotamian units of length | ||
|- | |- | ||
!Unit ||Ratio || Metric<br>equivalent || Sumerian || Akkadian || Cuneiform | !Unit ||Ratio || Metric<br>equivalent || Sumerian || Akkadian || Cuneiform | ||
|- | |- | ||
| grain ||align="center" | 1/180 ||align="right" | 2.8 |
| grain ||align="center" | 1/180 ||align="right" | 2.8 mm || še || ''uţţatu'' || {{cuneiform|𒊺}} | ||
|- | |- | ||
| finger ||align="center" |1/30 ||align="right" | 17 |
| finger ||align="center" |1/30 ||align="right" | 17 mm || šu-si || ''ubānu''|| {{cuneiform|𒋗}}{{cuneiform|𒋛}} | ||
|- | |- | ||
| foot ||align="center" |2/3 ||align="right" | 331 |
| foot ||align="center" |2/3 ||align="right" | 331 mm || šu-du<sub>3</sub>-a || ''šīzu'' || {{cuneiform|𒋗}}{{cuneiform|𒆕}}{{cuneiform|𒀀}} | ||
|- | |- | ||
| ] ||align="center" |1 ||align="right" | 497 |
| ] ||align="center" |1 ||align="right" | 497 mm || kuš<sub>3</sub> || ''ammatu'' || {{cuneiform|𒌑}} | ||
|} | |} | ||
=== Ancient Hebrew system === | === Ancient Hebrew system === | ||
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=== Britain === | === Britain === | ||
{{main|English units}} | {{main|English units}} | ||
A '''digit''' (] ''digitus'', "finger"), when used as a unit of length, is usually a sixteenth of a ] or 3/4" (] for the international ]).<ref name="Zupko1985">{{cite book|author=Ronald Edward Zupko|authorlink=Ronald Edward Zupko|title=A dictionary of weights and measures for the British Isles: the Middle Ages to the twentieth century|url= |
A '''digit''' (] ''digitus'', "finger"), when used as a unit of length, is usually a sixteenth of a ] or 3/4" (] for the international ]).<ref name="Zupko1985">{{cite book|author=Ronald Edward Zupko|authorlink=Ronald Edward Zupko|title=A dictionary of weights and measures for the British Isles: the Middle Ages to the twentieth century|url=https://archive.org/details/bub_gb_0l_k-XMIiQIC|accessdate=15 January 2012|year=1985|publisher=American Philosophical Society|isbn=978-0-87169-168-2|pages=–10}}</ref> The width of an adult human male finger tip is indeed about 2 centimetres. In English this unit has mostly fallen out of use, as do others based on the human arm: ] (7/6 digit), ] (4 digits), ] (16/3 digits), ] (8 digits), ] (12 digits), ] (24 digits) and ] (60 digits). | ||
It is in general equal to the foot-], although the term nail can also be used as 1/16 of yard and other units.{{Citation needed|date=August 2011}} | |||
== Astronomy == | == Astronomy == | ||
In astronomy a digit is, or was until recently, one twelfth of the diameter of the sun or the moon.< |
In astronomy a digit is, or was until recently, one twelfth of the diameter of the sun or the moon.<ref name=11th/><ref name=chamb/> This is found in the ] of ], XII:23,<ref name=plut/> but the definition as exactly one twelfth of the diameter may be due to ]. ] had observed in the 1st century AD that on a ], a disc with a diameter of 11 or 12 digits (of length) was needed to cover the moon.<ref name=neug/> | ||
The unit was used in Arab or Islamic astronomical works such as those of ] (d.1346/7),<ref name=hockey/> where it is called {{ |
The unit was used in Arab or Islamic astronomical works such as those of ] (d.1346/7),<ref name=hockey/> where it is called {{langx|ar|إصبعا}} ''iṣba' '', digit or finger.<ref name=sadr/> | ||
The astronomical digit was in use in Britain for centuries. Heath, writing in 1760, explains that 12 digits are equal to the diameter in eclipse of the sun, but that 23 may be needed for |
The astronomical digit was in use in Britain for centuries. Heath, writing in 1760, explains that 12 digits are equal to the diameter in eclipse of the sun, but that 23 may be needed for the Earth's shadow as it eclipses the moon, those over 12 representing the extent to which the Earth's shadow is larger than the Moon.<ref name=heath/> The unit is apparently not in current use, but is found in recent dictionaries.<ref name=chamb/> | ||
== Alcoholic Beverages == | |||
A ] of an alcoholic beverage is colloquially referred to as a 'digit'. | |||
==See also== | ==See also== | ||
* ] | * ] | ||
* ] | |||
* ] | * ] | ||
* ] | * ] | ||
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{{reflist|refs= | {{reflist|refs= | ||
<ref name=11th>{{cite EB1911|wstitle=Digit |volume=8 |page=268}}</ref> | |||
<Ref name=11th>Chisholm, Hugh (ed.) (1910–1911) ] (11th edition) Cambridge: University Press, "digit"</ref> | |||
<ref name=brit>Hosch, William L. (ed.) (2010) New York, NY: Britannica Educational Publications, 1st edition. {{ISBN|978-1-61530-108-9}}, p.203</ref> | |||
<ref name= |
<ref name=chamb>Macdonald, A.M. (ed.) (1972) ''Chambers Twentieth Century Dictionary'' Edinburgh: W. & R. Chambers {{ISBN|0-550-10206-X}}, "digit"</ref> | ||
<ref name=clagett>{{cite book|last=Clagett|first=Marshall|title=Ancient Egyptian Science, A Source Book. Volume 3: Ancient Egyptian Mathematics|year= 1999|publisher= American Philosophical Society|location= Philadelphia|isbn= 978-0-87169-232-0|url= https://archive.org/details/bub_gb_8c10QYoGa4UC}}</ref> | |||
<ref name=chamb>Macdonald, A.M. (ed.) (1972) ''Chambers Twentieth Century Dictionary'' Edinburgh: W. & R. Chambers ISBN 0-550-10206-X, "digit"</ref> | |||
<ref name= |
<ref name=heath>{{cite book |last=Heath |first=Robert |authorlink=Robert Heath (mathematician) |year=1760 |url=https://archive.org/details/astronomiaaccur00heatgoog |title=Astronomia accurata; or ... subservient to the three principal Subjects |publisher=Published by the author. |location= London |page=ix}}</ref> | ||
<ref name=heath>] (1760) London: the author p.ix</ref> | |||
<ref name=hockey>Hockey, Thomas et al. (eds.) (2007) New York: Springer pp. 1002–1003</ref> | <ref name=hockey>Hockey, Thomas et al. (eds.) (2007) New York: Springer pp. 1002–1003</ref> | ||
<ref name=lepsius>{{cite book|last=Lepsius|first=Richard|title=Die altaegyptische Elle und ihre Eintheilung|year=1865|publisher=Dümmler|location=Berlin|url= |
<ref name=lepsius>{{cite book|last=Lepsius|first=Richard|title=Die altaegyptische Elle und ihre Eintheilung|year=1865|publisher=Dümmler|location=Berlin|url=https://archive.org/details/bub_gb_PRQGAAAAQAAJ|language=German}}</ref> | ||
⚫ | <ref name=neug>] (1975) Berlin: Springer, ISBN |
||
⚫ | <ref name=neug>] (1975) Berlin: Springer, {{ISBN|978-0-387-06995-1}} Volume 2, p.658</ref> | ||
⚫ | <ref name=plut>Plutarchus Chaeronensis, Frank Cole Babbitt (trans.) (1957) London: William Heinemann, Cambridge, Mass.: Harvard University Press, Volume XII p.144</ref> | ||
⚫ | <ref name=plut>Plutarchus Chaeronensis, Frank Cole Babbitt (trans.) (1957) London: William Heinemann, Cambridge, Mass.: Harvard University Press, Volume XII p.144</ref> | ||
⚫ | <ref name=sadr>'Ubayd Allāh ibn Mas'ūd Ṣadr al-S̆arīaẗ al-Aṣġar al-Maḥbūbī, Ahmad S. Dallal (1995) (in Arabic and English) Leiden, New York: E.J. Brill, ISBN |
||
⚫ | <ref name=sadr>'Ubayd Allāh ibn Mas'ūd Ṣadr al-S̆arīaẗ al-Aṣġar al-Maḥbūbī, Ahmad S. Dallal (1995) (in Arabic and English) Leiden, New York: E.J. Brill, {{ISBN|978-90-04-09968-5}} p.212</ref> | ||
⚫ | <ref name=selin>{{cite book|editor-last=Selin|editor-first=Helaine|editor-link=Helaine Selin|title=Encyclopaedia of the History of Science, Technology and Medicine in non-Western Cultures|year= 1997|publisher= Kluwer|location= Dordrecht|isbn= 978-0-7923-4066-9|url= |
||
⚫ | <ref name=selin>{{cite book|editor-last=Selin|editor-first=Helaine|editor-link=Helaine Selin|title=Encyclopaedia of the History of Science, Technology and Medicine in non-Western Cultures|year= 1997|publisher= Kluwer|location= Dordrecht|isbn= 978-0-7923-4066-9|url=https://books.google.com/books?id=raKRY3KQspsC}}</ref> | ||
}} | }} |
Latest revision as of 17:42, 30 October 2024
For other uses, see Digit.The digit or finger is an ancient and obsolete non-SI unit of measurement of length. It was originally based on the breadth of a human finger. It was a fundamental unit of length in the Ancient Egyptian, Mesopotamian, Hebrew, Ancient Greek and Roman systems of measurement.
In astronomy a digit is one twelfth of the diameter of the sun or the moon.
History
Ancient Egypt
Main article: Ancient Egyptian units of measurementThe digit, also called a finger or fingerbreadth, is a unit of measurement originally based on the breadth of a human finger. In Ancient Egypt it was the basic unit of subdivision of the cubit.
On surviving Ancient Egyptian cubit-rods, the royal cubit is divided into seven palms of four digits or fingers each. The royal cubit measured approximately 525 mm, so the length of the ancient Egyptian digit was about 19 mm.
Name | Egyptian name | Equivalent Egyptian values | Metric equivalent | ||||
---|---|---|---|---|---|---|---|
Royal cubit |
|
7 palms or 28 digits | 525 mm | ||||
Fist | 6 digits | 108 mm | |||||
Hand | 5 digits | 94 mm | |||||
Palm |
|
4 digits | 75 mm | ||||
Digit |
|
1/4 palm | 19 mm |
Mesopotamia
Main article: Ancient Mesopotamian units of measurementIn the classical Akkadian Empire system instituted in about 2250 BC during the reign of Naram-Sin, the finger was one-thirtieth of a cubit length. The cubit was equivalent to approximately 497 mm, so the finger was equal to about 17 mm. Basic length was used in architecture and field division.
Unit | Ratio | Metric equivalent |
Sumerian | Akkadian | Cuneiform |
---|---|---|---|---|---|
grain | 1/180 | 2.8 mm | še | uţţatu | 𒊺 |
finger | 1/30 | 17 mm | šu-si | ubānu | 𒋗𒋛 |
foot | 2/3 | 331 mm | šu-du3-a | šīzu | 𒋗𒆕𒀀 |
cubit | 1 | 497 mm | kuš3 | ammatu | 𒌑 |
Ancient Hebrew system
Main article: Ancient Hebrew units of measurementAncient Greece
Main article: Ancient Greek units of measurementAncient Rome
Main article: Ancient Roman units of measurementBritain
Main article: English unitsA digit (lat. digitus, "finger"), when used as a unit of length, is usually a sixteenth of a foot or 3/4" (1.905 cm for the international inch). The width of an adult human male finger tip is indeed about 2 centimetres. In English this unit has mostly fallen out of use, as do others based on the human arm: finger (7/6 digit), palm (4 digits), hand (16/3 digits), shaftment (8 digits), span (12 digits), cubit (24 digits) and ell (60 digits).
Astronomy
In astronomy a digit is, or was until recently, one twelfth of the diameter of the sun or the moon. This is found in the Moralia of Plutarch, XII:23, but the definition as exactly one twelfth of the diameter may be due to Ptolemy. Sosigenes of Alexandria had observed in the 1st century AD that on a dioptra, a disc with a diameter of 11 or 12 digits (of length) was needed to cover the moon.
The unit was used in Arab or Islamic astronomical works such as those of Ṣadr al‐Sharīʿa al‐Thānī (d.1346/7), where it is called Arabic: إصبعا iṣba' , digit or finger.
The astronomical digit was in use in Britain for centuries. Heath, writing in 1760, explains that 12 digits are equal to the diameter in eclipse of the sun, but that 23 may be needed for the Earth's shadow as it eclipses the moon, those over 12 representing the extent to which the Earth's shadow is larger than the Moon. The unit is apparently not in current use, but is found in recent dictionaries.
See also
References
- ^ Hosch, William L. (ed.) (2010) The Britannica Guide to Numbers and Measurement New York, NY: Britannica Educational Publications, 1st edition. ISBN 978-1-61530-108-9, p.203
- ^ Chisholm, Hugh, ed. (1911). "Digit" . Encyclopædia Britannica. Vol. 8 (11th ed.). Cambridge University Press. p. 268.
- Selin, Helaine, ed. (1997). Encyclopaedia of the History of Science, Technology and Medicine in non-Western Cultures. Dordrecht: Kluwer. ISBN 978-0-7923-4066-9.
- Lepsius, Richard (1865). Die altaegyptische Elle und ihre Eintheilung (in German). Berlin: Dümmler.
- Clagett, Marshall (1999). Ancient Egyptian Science, A Source Book. Volume 3: Ancient Egyptian Mathematics. Philadelphia: American Philosophical Society. ISBN 978-0-87169-232-0.
- Ronald Edward Zupko (1985). A dictionary of weights and measures for the British Isles: the Middle Ages to the twentieth century. American Philosophical Society. pp. 109–10. ISBN 978-0-87169-168-2. Retrieved 15 January 2012.
- ^ Macdonald, A.M. (ed.) (1972) Chambers Twentieth Century Dictionary Edinburgh: W. & R. Chambers ISBN 0-550-10206-X, "digit"
- Plutarchus Chaeronensis, Frank Cole Babbitt (trans.) (1957) Plutarch's Moralia: In fifteen volumes London: William Heinemann, Cambridge, Mass.: Harvard University Press, Volume XII p.144
- Neugebauer, Otto (1975) A History of Ancient Mathematical Astronomy Berlin: Springer, ISBN 978-0-387-06995-1 Volume 2, p.658
- Hockey, Thomas et al. (eds.) (2007) The Biographical Encyclopedia of Astronomers, Springer Reference New York: Springer pp. 1002–1003
- 'Ubayd Allāh ibn Mas'ūd Ṣadr al-S̆arīaẗ al-Aṣġar al-Maḥbūbī, Ahmad S. Dallal (1995) An Islamic response to Greek astronomy: kitāb Ta'dīl hay'at al-aflāk of Ṣadr al-Sharī'a (in Arabic and English) Leiden, New York: E.J. Brill, ISBN 978-90-04-09968-5 p.212
- Heath, Robert (1760). Astronomia accurata; or ... subservient to the three principal Subjects. London: Published by the author. p. ix.