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{{Japanese name|Arima}} | |||
{{nihongo|'''Arima Yoriyuki'''|有馬 頼徸||December 31, 1714 – December 16, 1783}} was a [[Japan]]ese [[mathematician]] of the [[Edo period]]. He was the lord of [[Kurume Domain]] and approximated the value of <math>\pi</math> and its [[square (algebra)|square]], <math>\pi^2</math>. In 1766, he found the following rational approximation of pi, correct to 29 digits:<ref>{{cite web| title = Collection of approximations for <math>\pi</math>| url = http://numbers.computation.free.fr/Constants/Pi/piApprox.html| accessdate = 2008-04-04}}</ref><ref> | |||
{{cite book| last = Hardy| first = G. H.| coauthors = E. M. Wright| title = An Introduction to the Theory of Numbers| publisher = Oxford Science Publications| year = 1978}}</ref> | |||
:<math>\pi\approx\frac{428224593349304}{136308121570117}=3.14159265358979323846264338327(569...)</math> | |||
==References== | |||
{{reflist}} | |||
{{Persondata | |||
| NAME = Arima Yoriyuki | |||
| ALTERNATIVE NAMES = | |||
| SHORT DESCRIPTION = Daimyo | |||
| DATE OF BIRTH = December 31, 1714 | |||
| PLACE OF BIRTH = | |||
| DATE OF DEATH = December 16, 1783 | |||
| PLACE OF DEATH = | |||
}} | |||
{{DEFAULTSORT:Arima, Yoriyuki}} | |||
[[Category:1714 births]] | |||
[[Category:1783 deaths]] | |||
[[Category:Japanese mathematicians]] | |||
[[Category:18th-century mathematicians]] | |||
[[Category:Daimyo]] | |||
{{Japan-scientist-stub}} | |||
{{Asia-mathematician-stub}} | |||
Revision as of 09:44, 13 January 2014
Template:Japanese name Template:Nihongo was a Japanese mathematician of the Edo period. He was the lord of Kurume Domain and approximated the value of and its square, . In 1766, he found the following rational approximation of pi, correct to 29 digits:[1][2]
References
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Template:Japan-scientist-stub Template:Asia-mathematician-stub
- ↑ Template:Cite web
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