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

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

References

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

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[1] "Collection of approximations for $\pi$ ". Retrieved April 4, 2008.

[2] Hardy, G. H.; E. M. Wright (1978). An Introduction to the Theory of Numbers. Oxford Science Publications.

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