Arima Yoriyuki

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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 and 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

  1. "Collection of approximations for \pi". Retrieved 2008-04-04.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  2. Hardy, G. H.; E. M. Wright (1978). An Introduction to the Theory of Numbers. Oxford Science Publications.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>