Archimedes used geometric constructions to estimate pi from "summary" of A History of [pi] (pi) by Petr Beckmann
Archimedes, the renowned ancient Greek mathematician, employed a brilliant method to approximate the value of pi. By inscribing and circumscribing regular polygons around a circle, he was able to determine upper and lower bounds for the value of pi. As the number of sides of the polygons increased, Archimedes could narrow down the possible values of pi to a very accurate level. Through this geometric approach, Archimedes effectively utilized the properties of circles and polygons to derive an approximatio...
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