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{{refimprove|date=July 2010}}
This is a preview for the new '''MathML rendering mode''' (with SVG fallback), which is availble in production for registered users.
[[Image:Diophantus-cover.jpg|right|thumb|200px|Cover of the 1621 edition, translated into [[Latin]] by [[Claude Gaspard Bachet de Méziriac]].]]
'''''Arithmetica''''' is an ancient [[Greek language|Greek]] text on [[mathematics]] written by the [[mathematician]] [[Diophantus]] in the 3rd century [[AD]]. It is a collection of 130 [[algebra]]ic problems giving numerical solutions of determinate [[equations]] (those with a unique solution) and [[indeterminate equation]]s.


Equations in the book are called [[Diophantine equation]]s. The method for solving these equations is known as [[Diophantine analysis]].  Most of the ''Arithmetica'' problems lead to [[quadratic equation]]s.  It was these equations which inspired [[Pierre de Fermat]] to propose [[Fermat's Last Theorem]], scrawled in the margins of Fermat's copy of 'Arithmetica', which states that the equation <math>x^n+y^n=z^n</math>, where <math>x</math>, <math>y</math>, <math>z</math> and <math>n</math> are non-zero integers, has no solution with <math>n</math> greater than 2.  
If you would like use the '''MathML''' rendering mode, you need a wikipedia user account that can be registered here [[https://en.wikipedia.org/wiki/Special:UserLogin/signup]]
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In Book 3, Diophantus solves problems of finding values which make two linear expressions simultaneously into squares or cubes. In book 4, he finds rational powers between given numbers. He also noticed that numbers of the form (<math>4n + 3</math>) cannot be the sum of two squares. Diophantus also appears to know that every number can be written as the sum of four squares. If he did know this result it would be truly remarkable for even Fermat, who stated the result, failed to provide a proof of it and it was not settled until [[Joseph Louis Lagrange]] proved it using results due to [[Leonhard Euler]].
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''Arithmetica'' became known to [[Mathematics in medieval Islam|Muslim mathematicians]] in the tenth century<ref>{{cite book|first=Carl B.|last=Boyer|authorlink=Carl Benjamin Boyer|title=A History of Mathematics|edition=Second Edition|publisher=John Wiley & Sons, Inc.|year=1991|chapter=The Arabic Hegemony|isbn=0-471-54397-7|quote=Note the omission of Diophantus and Pappus, authors who evidently were not at first known in Arabia, although the Diophantine ''Arithmetica'' became familiar before the end of the tenth century.|page=234}}</ref> when [[Abūl Wafā' Būzjānī|Abu'l-Wefa]] translated it into Arabic.<ref>{{cite book|first=Carl B.|last=Boyer|authorlink=Carl Benjamin Boyer|title=A History of Mathematics|edition=Second Edition|publisher=John Wiley & Sons, Inc.|year=1991|chapter=The Arabic Hegemony|isbn=0-471-54397-7|quote=Abu'l-Wefa was a capable algebraist as well as a trigonometer. He commented on al-Khwarizmi's ''Algebra'' and translated from Greek one of the last great classics, the ''Arithmetica'' of Diophantus.|page=239}}</ref>
'''MathML'''
:<math forcemathmode="mathml">E=mc^2</math>


==See also==
<!--'''PNG'''  (currently default in production)
:<math forcemathmode="png">E=mc^2</math>


* [[Muhammad ibn Mūsā al-Khwārizmī]]
'''source'''
* [[Diophantus II.VIII]]
:<math forcemathmode="source">E=mc^2</math> -->


==References==
<span style="color: red">Follow this [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering link] to change your Math rendering settings.</span> You can also add a [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering-skin Custom CSS] to force the MathML/SVG rendering or select different font families. See [https://www.mediawiki.org/wiki/Extension:Math#CSS_for_the_MathML_with_SVG_fallback_mode these examples].
{{reflist|2}}


{{Greek mathematics}}
==Demos==


[[Category:3rd-century books]]
Here are some [https://commons.wikimedia.org/w/index.php?title=Special:ListFiles/Frederic.wang demos]:
[[Category:Ancient Greek mathematical works]]




{{algebra-stub}}
* accessibility:
{{Mathpublication-stub}}
** Safari + VoiceOver: [https://commons.wikimedia.org/wiki/File:VoiceOver-Mac-Safari.ogv video only], [[File:Voiceover-mathml-example-1.wav|thumb|Voiceover-mathml-example-1]], [[File:Voiceover-mathml-example-2.wav|thumb|Voiceover-mathml-example-2]], [[File:Voiceover-mathml-example-3.wav|thumb|Voiceover-mathml-example-3]], [[File:Voiceover-mathml-example-4.wav|thumb|Voiceover-mathml-example-4]], [[File:Voiceover-mathml-example-5.wav|thumb|Voiceover-mathml-example-5]], [[File:Voiceover-mathml-example-6.wav|thumb|Voiceover-mathml-example-6]], [[File:Voiceover-mathml-example-7.wav|thumb|Voiceover-mathml-example-7]]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Audio-Windows7-InternetExplorer.ogg Internet Explorer + MathPlayer (audio)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-SynchronizedHighlighting-WIndows7-InternetExplorer.png Internet Explorer + MathPlayer (synchronized highlighting)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Braille-Windows7-InternetExplorer.png Internet Explorer + MathPlayer (braille)]
** NVDA+MathPlayer: [[File:Nvda-mathml-example-1.wav|thumb|Nvda-mathml-example-1]], [[File:Nvda-mathml-example-2.wav|thumb|Nvda-mathml-example-2]], [[File:Nvda-mathml-example-3.wav|thumb|Nvda-mathml-example-3]], [[File:Nvda-mathml-example-4.wav|thumb|Nvda-mathml-example-4]], [[File:Nvda-mathml-example-5.wav|thumb|Nvda-mathml-example-5]], [[File:Nvda-mathml-example-6.wav|thumb|Nvda-mathml-example-6]], [[File:Nvda-mathml-example-7.wav|thumb|Nvda-mathml-example-7]].
** Orca: There is ongoing work, but no support at all at the moment [[File:Orca-mathml-example-1.wav|thumb|Orca-mathml-example-1]], [[File:Orca-mathml-example-2.wav|thumb|Orca-mathml-example-2]], [[File:Orca-mathml-example-3.wav|thumb|Orca-mathml-example-3]], [[File:Orca-mathml-example-4.wav|thumb|Orca-mathml-example-4]], [[File:Orca-mathml-example-5.wav|thumb|Orca-mathml-example-5]], [[File:Orca-mathml-example-6.wav|thumb|Orca-mathml-example-6]], [[File:Orca-mathml-example-7.wav|thumb|Orca-mathml-example-7]].
** From our testing, ChromeVox and JAWS are not able to read the formulas generated by the MathML mode.


[[de:Arithmetica]]
==Test pages ==
[[es:Arithmetica]]
 
[[fr:Arithmetica]]
To test the '''MathML''', '''PNG''', and '''source''' rendering modes, please go to one of the following test pages:
[[he:אריתמטיקה (ספר)]]
*[[Displaystyle]]
[[ja:算術 (書物)]]
*[[MathAxisAlignment]]
[[ru:Арифметика (Диофант)]]
*[[Styling]]
[[sl:Arithmetica]]
*[[Linebreaking]]
*[[Unique Ids]]
*[[Help:Formula]]
 
*[[Inputtypes|Inputtypes (private Wikis only)]]
*[[Url2Image|Url2Image (private Wikis only)]]
==Bug reporting==
If you find any bugs, please report them at [https://bugzilla.wikimedia.org/enter_bug.cgi?product=MediaWiki%20extensions&component=Math&version=master&short_desc=Math-preview%20rendering%20problem Bugzilla], or write an email to math_bugs (at) ckurs (dot) de .

Latest revision as of 23:52, 15 September 2019

This is a preview for the new MathML rendering mode (with SVG fallback), which is availble in production for registered users.

If you would like use the MathML rendering mode, you need a wikipedia user account that can be registered here [[1]]

  • Only registered users will be able to execute this rendering mode.
  • Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.

Registered users will be able to choose between the following three rendering modes:

MathML


Follow this link to change your Math rendering settings. You can also add a Custom CSS to force the MathML/SVG rendering or select different font families. See these examples.

Demos

Here are some demos:


Test pages

To test the MathML, PNG, and source rendering modes, please go to one of the following test pages:

Bug reporting

If you find any bugs, please report them at Bugzilla, or write an email to math_bugs (at) ckurs (dot) de .

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