Arima Yoriyuki

Japanese mathematician

In this Japanese name, the surname is  Arima.

Arima Yoriyuki

Arima Yoriyuki (有馬 頼徸, December 31, 1714 – December 16, 1783) was a Japanese mathematician of the Edo period. He was the lord of Kurume Domain.

He approximated the value of  π {\displaystyle \pi } and its square,  π 2 {\displaystyle \pi ^{2}} . In 1766, he found the following rational approximation of  π {\displaystyle \pi } , correct to 29 digits:[1][2]

π ≈ 428224593349304 136308121570117 = 3.14159265358979323846264338327 ( 569... ) . {\displaystyle \pi \approx {\frac {428224593349304}{136308121570117}}=3.14159265358979323846264338327(569...).}

## References

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1. ^ "Collection of approximations for  π {\displaystyle \pi } ". Retrieved April 4, 2008.
2. ^ Hardy, G. H.; E. M. Wright (1978). An Introduction to the Theory of Numbers. Oxford Science Publications.

## Further reading

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* Döll, Steffen; Hinz, Andreas M. (2018). "Kyū-renkan – the Arima sequence". In Ogawa, T.; Morimoto, M. (eds.). Mathematics of Takebe Katahiro and History of Mathematics in East Asia. Advanced Studies in Pure Mathematics. Vol. 79\. Tokyo: Mathematical Society of Japan. pp. 321–335.321-335&rft.pub=Mathematical+Society+of+Japan&rft.date=2018&rft.aulast=Döll&rft.aufirst=Steffen&rft.au=Hinz,+Andreas+M.&rfr_id=info:sid/en.wikipedia.org:Arima+Yoriyuki" class="Z3988">

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