The quest for more accurate approximations of pi led to significant mathematical advancements from "summary" of A History of [pi] (pi) by Petr Beckmann
The endless pursuit of improving the approximation of pi has been a driving force behind numerous mathematical breakthroughs throughout history. Mathematicians have long been fascinated by the enigmatic nature of pi and have dedicated countless hours to unraveling its mysteries. The quest for more accurate approximations of pi has not only deepened our understanding of this irrational number but has also led to significant advancements in various branches of mathematics. One of the earliest and most well-known methods of approximating pi was the use of inscribed and circumscribed polygons. By inscribing a polygon inside a circle and circumscribing another around it, mathematicians were able to calculate increasingly precise values for pi. This method laid the foundation for further developments in the quest for more accurate approximations of pi. As the quest for greater precision continued, mathematicians began exploring new techniques and formulas to calculate pi. Archimedes, one of the most famous mathematicians of antiquity, developed a method known as the Method of Exhaus...
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