Continued Fraction Expansion of Pi/Convergents/Historical Note

Historical Note on $\pi$ is Irrational

The convergents of the continued fraction expansion to $\pi$ (pi) were calculated from $\dfrac {103 \, 993} {33 \, 102}$ up to $\dfrac {1 \, 019 \, 514 \, 486 \, 099 \, 146} {324 \, 521 \, 540 \, 032 \, 945}$ by Johann Heinrich Lambert.

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): $3 \cdotp 14159 \, 26535 \, 89793 \, 23846 \, 26433 \, 83279 \, 50288 \, 41971 \ldots$