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The conjecture that Archimedes knew and used the Snell–Cusa inequalities
The Snell–Cusa inequalities are convergence-improving inequalities: they produce at least twice the accuracy of Archimedes' original procedure for bounding $\pi$ . Historical conjec…
Conjectureopenhistory-of-mathematics inequalities pi-approximationsarXiv posted 2 days ago

The conjecture that Archimedes knew and used the Snell–Cusa inequalities