Newton's Formula for Pi/Historical Note
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Historical Note on Newton's Formula for Pi
Isaac Newton arrived at his formula for $\pi$ after having returned to his home in Grantham in $1666$ to escape the epidemic of bubonic plague.
He used it to find $\pi$ to $16$ places by using only $22$ terms of his formula.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3 \cdotp 14159 \, 26535 \, 89793 \, 23846 \, 26433 \, 83279 \, 50288 \, 41972 \ldots$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3 \cdotp 14159 \, 26535 \, 89793 \, 23846 \, 26433 \, 83279 \, 50288 \, 41971 \ldots$