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References: fixed CS1 errors: dates to meet MOS:DATEFORMAT (also General fixes) using AWB (10083)

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	~~{{other people\|William Rutherford}}~~		Friends call her Claude Gulledge. She works as a financial officer and she will not change it whenever soon. To perform croquet is the pastime I will by no means quit performing. Arizona is her birth place and she will never move.<br><br>Have a look at my web blog; [http://valkyrjagc.org/index.php?mod=users&action=view&id=14605 valkyrjagc.org]
	~~'''William Rutherford''' (1798–1871) was an [[English people\|English]] [[mathematician]] famous for his calculation of 208 digits of the [[mathematical constant]] [[π]] in 1841~~. ~~Only the first 152 digits were later found to be correct~~. ~~However, that still broke the world record of~~ the ~~time which was held~~ by ~~the [[Slovenia]]n mathematician [[Jurij Vega]] since 1789 (126 first digits were correct)<ref>[http://www~~.~~math.auckland.ac.nz/class190/lectures/pi_history~~.~~pdf ''Use of the symbol π''] - Department of Mathematics, [[University of Auckland]]~~<~~/ref~~> ~~For the current world record, see [[Chronology of computation of π]].~~
	~~Rutherford used the following formula:~~<~~ref~~>[http://~~www-math~~.~~cudenver.edu/~wcherowi/courses/history2~~/~~quad2~~.~~pdf ''Squaring the Circle''] - Department of Mathematical Sciences [[University of Colorado at Denver]]</ref>~~

	~~:<math> {\pi\over 4}~~ = ~~4 \arctan \left({1\over 5}\right) - \arctan \left({1\over 70}\right) + \arctan \left({1\over 99}\right)</math>~~

	~~==Life==~~
	He was born about 1798. He was a master at a school at Woodburn from 1822 to 1825, when he went to [[Hawick]], [[Roxburghshire]], and he was later (1832–1837) a master at Corporation Academy, [[Berwick-on-Tweed]].<ref name=DNB>{{cite DNB\|wstitle=Rutherford, William}}</ref>

	In 1838 Rutherford obtained a mathematical post at the [[Royal Military Academy, Woolwich]]. He was a member of the council of the [[Royal Astronomical Society]] from 1844 to 1847, and honorary secretary in 1845 and 1846. He was a friend of [[Wesley S. B. Woolhouse]].<ref name=DNB/>

	Rutherford retired from his post at Woolwich about 1864, and died on 16 September 1871, at his residence, Tweed Cottage, Maryon Road, [[Charlton, London\|Charlton]], at the age of seventy-three.<ref name=DNB/>

	~~==Works==~~
	Rutherford was the editor, with Stephen Fenwick and (for the first volume only) with [[Thomas Stephen Davies]], of ''The Mathematician'', vol. i. 1845, vol. ii. 1847, vol. iii. 1850, to which he contributed many papers. He sent problems, solutions and papers to ''[[The Ladies' Diary]]'' from 1822 to 1869, and also contributed to the ''[[Gentlemen's Diary]]''. His mathematical studies were of a traditional type.<ref name=DNB/>

	~~Rutherford edited~~

	* ''Simson's Euclid'' (1841, 1847);
	* [[Charles Hutton]]'s ''Course of Mathematics'', for Woolwich, 1841, 1846, 1854, 1860;
	* [[John Bonnycastle]]'s ''Algebra'', with [[William Galbraith (mathematician)\|William Galbraith]], 1848;
	* Thomas Carpenter's ''Arithmetic'', 1852, 1859;
	* Edwin Colman Tyson's ''Key to Bonnycastle's Arithmetic'', 1860;

	~~He published also:<ref name~~=~~DNB/>~~

	* ''Computation of π to 208 Decimal Places (correct to 153)'', ''[[Philosophical Transactions]]'', 1841.
	* ''Demonstration of Pascal's Theorem'', ''[[Philosophical Magazine]]'', 1843.
	* ''Theorems in Co-ordinate Geometry'', ''Philosophical Magazine'', 1843.
	* ''Elementary Propositions in the Geometry of Co-ordinates '' (with Stephen Fenwick), 1843.
	* ''Earthwork Tables '' (with Charles K. Sibley), 1847.
	* ''Complete Solution of Numerical Equations '', 1849.
	* Arithmetic, Algebra, and Differential and Integral Calculus in ''Course of Mathematics for R.M.A. Woolwich '', 1850.
	* ''The Extension of π to 440 Places'' (''Royal Society Proceedings'', 1853, p.&~~nbsp;274).~~
	* ''On Statical Friction and Revetments '', 1859.

	~~He also wrote mathematical pamphlets, including one on the solution of [[spherical triangle]]s.<ref name~~=~~DNB/>~~

	~~==See also==~~
	* [[History of π]]
	* [[History of numerical approximations of π]]
	* [[Yasumasa Kanada]]

	~~==References and notes==~~
	~~{{Reflist}}~~

	~~;Attribution~~
	~~{{DNB\|wstitle=Rutherford, William}}~~

	~~{{Authority control\|VIAF=5360542}}~~

	~~{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]~~. ~~-->~~
	~~\| NAME = Rutherford, William~~
	~~\| ALTERNATIVE NAMES =~~
	~~\| SHORT DESCRIPTION = British mathematician~~
	~~\| DATE OF BIRTH = 1798~~
	~~\| PLACE OF BIRTH =~~
	~~\| DATE OF DEATH = 1871~~
	~~\| PLACE OF DEATH =~~
	}}
	~~{{DEFAULTSORT:Rutherford, William}}~~
	~~[[Category:1798 births]]~~
	~~[[Category:Pi]]~~
	~~[[Category:19th-century English mathematicians]]~~
	~~[[Category:1871 deaths]~~]

en>Citation bot 1 at 14:33, 15 March 2011

2011-03-15T14:33:01Z

New page

{{other people|William Rutherford}}
'''William Rutherford''' (1798–1871) was an [[English people|English]] [[mathematician]] famous for his calculation of 208 digits of the [[mathematical constant]] [[π]] in 1841. Only the first 152 digits were later found to be correct. However, that still broke the world record of the time which was held by the [[Slovenia]]n mathematician [[Jurij Vega]] since 1789 (126 first digits were correct)<ref>[http://www.math.auckland.ac.nz/class190/lectures/pi_history.pdf ''Use of the symbol π''] - Department of Mathematics, [[University of Auckland]]</ref> For the current world record, see [[Chronology of computation of π]].
Rutherford used the following formula:<ref>[http://www-math.cudenver.edu/~wcherowi/courses/history2/quad2.pdf ''Squaring the Circle''] - Department of Mathematical Sciences [[University of Colorado at Denver]]</ref>

:<math> {\pi\over 4} = 4 \arctan \left({1\over 5}\right) - \arctan \left({1\over 70}\right) + \arctan \left({1\over 99}\right)</math>

==Life==
He was born about 1798. He was a master at a school at Woodburn from 1822 to 1825, when he went to [[Hawick]], [[Roxburghshire]], and he was later (1832–1837) a master at Corporation Academy, [[Berwick-on-Tweed]].<ref name=DNB>{{cite DNB|wstitle=Rutherford, William}}</ref>

In 1838 Rutherford obtained a mathematical post at the [[Royal Military Academy, Woolwich]]. He was a member of the council of the [[Royal Astronomical Society]] from 1844 to 1847, and honorary secretary in 1845 and 1846. He was a friend of [[Wesley S. B. Woolhouse]].<ref name=DNB/>

Rutherford retired from his post at Woolwich about 1864, and died on 16 September 1871, at his residence, Tweed Cottage, Maryon Road, [[Charlton, London|Charlton]], at the age of seventy-three.<ref name=DNB/>

==Works==
Rutherford was the editor, with Stephen Fenwick and (for the first volume only) with [[Thomas Stephen Davies]], of ''The Mathematician'', vol. i. 1845, vol. ii. 1847, vol. iii. 1850, to which he contributed many papers. He sent problems, solutions and papers to ''[[The Ladies' Diary]]'' from 1822 to 1869, and also contributed to the ''[[Gentlemen's Diary]]''. His mathematical studies were of a traditional type.<ref name=DNB/>

Rutherford edited

* ''Simson's Euclid'' (1841, 1847);
* [[Charles Hutton]]'s ''Course of Mathematics'', for Woolwich, 1841, 1846, 1854, 1860;
* [[John Bonnycastle]]'s ''Algebra'', with [[William Galbraith (mathematician)|William Galbraith]], 1848;
* Thomas Carpenter's ''Arithmetic'', 1852, 1859;
* Edwin Colman Tyson's ''Key to Bonnycastle's Arithmetic'', 1860;

He published also:<ref name=DNB/>

* ''Computation of π to 208 Decimal Places (correct to 153)'', ''[[Philosophical Transactions]]'', 1841.
* ''Demonstration of Pascal's Theorem'', ''[[Philosophical Magazine]]'', 1843.
* ''Theorems in Co-ordinate Geometry'', ''Philosophical Magazine'', 1843.
* ''Elementary Propositions in the Geometry of Co-ordinates '' (with Stephen Fenwick), 1843.
* ''Earthwork Tables '' (with Charles K. Sibley), 1847.
* ''Complete Solution of Numerical Equations '', 1849.
* Arithmetic, Algebra, and Differential and Integral Calculus in ''Course of Mathematics for R.M.A. Woolwich '', 1850.
* ''The Extension of π to 440 Places'' (''Royal Society Proceedings'', 1853, p. 274).
* ''On Statical Friction and Revetments '', 1859.

He also wrote mathematical pamphlets, including one on the solution of [[spherical triangle]]s.<ref name=DNB/>

==See also==
* [[History of π]]
* [[History of numerical approximations of π]]
* [[Yasumasa Kanada]]

==References and notes==
{{Reflist}}

;Attribution
{{DNB|wstitle=Rutherford, William}}

{{Authority control|VIAF=5360542}}

{{Persondata 
| NAME = Rutherford, William
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = British mathematician
| DATE OF BIRTH = 1798
| PLACE OF BIRTH =
| DATE OF DEATH = 1871
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Rutherford, William}}
[[Category:1798 births]]
[[Category:Pi]]
[[Category:19th-century English mathematicians]]
[[Category:1871 deaths]]

Homogeneously Suslin set - Revision history

en>BattyBot: /* References */fixed CS1 errors: dates to meet MOS:DATEFORMAT (also General fixes) using AWB (10083)

en>Citation bot 1 at 14:33, 15 March 2011