division sign
{{Short description|Mathematical symbol}}
{{Redirect|÷|the music album of this name|÷ (album){{!}}÷ (album)|the Tifinagh character|ⴻ}}
{{About||other signs used for division|Division (mathematics)#Notation}}
{{Infobox symbol
|mark=÷
|unicode={{unichar|F7|Division sign|html=}}
|see also =
{{unichar|2236|nlink=ratio}}
{{unichar|003A|nlink=colon (punctuation)}}
{{unichar|002F|nlink=solidus (punctuation)}}
{{unichar|2044|nlink=Fraction slash}}
{{unichar|2215|nlink=Division slash}}
|different from =
{{unichar|2052|nlink=Commercial minus sign|}}
{{unichar|002B|nlink=Plus and minus signs}}
{{unichar|2020|Dagger|nlink=Dagger (mark)}}
{{unichar|034B|combining homothetic above|nlink=Combining Diacritical Marks}}
}}
The division sign ({{char|÷}}) is a mathematical symbol consisting of a short horizontal line with a dot above and another dot below, used in Anglophone countries to indicate the operation of division. This usage is not universal and the symbol has different meanings in other countries. Consequently, its use to denote division is not recommended in the ISO 80000-2 standard for mathematical notation.
In mathematics
File:Skjermbilete 2012-11-03 kl. 02.48.36.png
{{further|Division (mathematics)#Notation}}
The obelus, a historical glyph consisting of a horizontal line with (or without) one or more dots, was first used as a symbol for division in 1659, in the algebra book {{lang|de|Teutsche Algebra}} by Johann Rahn, although previous writers had used the same symbol for subtraction.{{cite book |title=A history of mathematical notations |volume= 1. Notations in Elementary Mathematics |publisher=The Open Court Company |year=1928 |first=Florian |last=Cajori |author-link=Florian Cajori |pages=242, 270–271 |url=https://archive.org/details/in.ernet.dli.2015.200372/page/n261/mode/2up }} [https://archive.org/details/in.ernet.dli.2015.200372/page/n289/mode/2up pp 270,271] Some near-contemporaries believed that John Pell, who edited the book, may have been responsible for this use of the symbol. Other symbols for division include the slash or solidus {{char|/}}, the colon {{char|:}}, and the fraction bar (the horizontal bar in a vertical fraction).{{Cite web|last=Weisstein|first=Eric W.|title=Division|url=https://mathworld.wolfram.com/Division.html|access-date=2020-08-26|website=mathworld.wolfram.com|language=en}}{{Cite web|title=Division|url=https://www.mathsisfun.com/numbers/division.html|access-date=2020-08-26|website=www.mathsisfun.com}} The ISO 80000-2 standard for mathematical notation recommends only the solidus {{char|/}} or "fraction bar" for division, or the "colon" {{char|:}} for ratios; it says that the {{char|÷}} sign "should not be used" for division.ISO 80000-2, Section 9 "Operations", 2-9.6
In Italy, Poland and Russia, the {{char|÷}} sign was sometimes used to denote a range of values, and in Scandinavian countries it was, and sometimes still is, used as a negation sign:{{cite book |chapter-url=https://www.unicode.org/versions/Unicode10.0.0/ch06.pdf#G7935 | page=280, Obelus | chapter = 6. Writing Systems and Punctuation | publisher= Unicode Consortium | title = The Unicode® Standard: Version 10.0 – Core Specification | date= June 2017}} the Unicode Consortium has allocated a separate code point, {{unichar|2052|commercial minus sign|nlink=}} for this usage uniquely;{{cite web |title=Too narrowly defined: DIVISION SIGN & COLON |url=http://www.unicode.org/mail-arch/unicode-ml/y2012-m07/0053.html | author = Leif Halvard Silli | website= Unicode.org}}{{cite web |url=https://www.unicode.org/mail-arch/unicode-ml/y2014-m01/0018.html | title= Commercial minus as italic variant of division sign in German and Scandinavian context | author = Leif Halvard Silli | website= Unicode.org}} the exact form of the symbol displayed is typeface (font) dependent.
In computer systems
=Encoding=
The symbol was assigned to code point 0xF7 in ISO 8859-1, as the "division sign". This encoding was transferred to Unicode as U+00F7.{{citation|title=Unicode Explained: Internationalize documents, programs, and web sites |first=Jukka |last=Korpela |publisher=O'Reilly Media, Inc. |year=2006 |isbn=9780596101213 |page=397 |url=https://books.google.com/books?id=PcWU2yxc8WkC&pg=PA397}} In HTML, it can be encoded as {{code|÷}} or {{code|÷}} (at HTML level 3.2), or as {{code|÷}}.
Unicode provides various division symbols:{{Cite web |title=Division symbol |url=https://divisionsymbol.net}}
class="wikitable"
! Codepoint !! Name !! Symbol | ||
U+00F7 | Division Sign | ÷ |
U+27CC | Long Division | ⟌ |
U+2215 | Division Slash | ∕ |
U+2A38 | Circled Division Sign | ⨸ |
U+2797 | Heavy Division Sign | ➗ |
U+2298 | Circled Division Slash | ⊘ |
U+22C7 | Division Times | ⋇ |
U+29BC | Circled Anticlockwise-Rotated Division Sign | ⦼ |
See also
Notes
{{reflist}}
External links
- [http://jeff560.tripod.com/operation.html Jeff Miller: Earliest Uses of Various Mathematical Symbols]
- [http://www.worldwidewords.org/articles/signs.htm Michael Quinion: Where our arithmetic symbols come from]
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Category:Typographical symbols