Squaring the Circle by Compass and Straightedge Construction is Impossible/Historical Note
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Historical Note on Squaring the Circle by Compass and Straightedge Construction is Impossible
The crucial final step in the proof of the age-old classic problem of Squaring the Circle was made by Ferdinand von Lindemann, who proved in $1882$ that $\pi$ is transcendental.
Sources
- 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): Chapter $\text{II}$: Modern Minds in Ancient Bodies
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.29$: Liouville ($\text {1809}$ – $\text {1882}$)
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.18$: Algebraic and Transcendental Numbers. $e$ is Transcendental