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The Rhind Papyrus contains one of the earliest recorded approximations of pi from "summary" of A History of [pi] (pi) by Petr Beckmann

The Rhind Papyrus, a famous ancient Egyptian mathematical document dating back to around 1650 BC, has long been recognized as a treasure trove of mathematical knowledge. Among its many fascinating contents is a problem that provides an early glimpse into the concept of pi. In this problem, the scribe Ahmes describes a method for calculating the area of a circular field based on an approximation of pi as 3.1605. While this value is not as precise as the modern approximation of pi as 3.14159, it is still remarkable for its time and demonstrates the ancient Egyptians' advanced mathematical abilities. The significance of this approximation lies in the fact that it shows the ancient Egyptians were aware of the relationship between the circumference and diameter of a circle. By using a value close to pi in their calculations, they were able to accurately determine the area of circular objects, which would have been an important skill in various practical applications such as construction and land surveying. This early understanding of pi also highlights the timeless nature of mathematical principles and the enduring quest for knowledge that has characterized human civilization throughout history. The inclusion of this approximation of pi in the Rhind Papyrus is a testament to the mathematical sophistication of ancient Egyptian society. It reflects their dedication to the pursuit of knowledge and their ability to apply mathematical concepts in practical situations. By studying ancient documents like the Rhind Papyrus, we gain valuable insights into the intellectual achievements of past civilizations and can appreciate the enduring legacy of mathematical thought. The Rhind Papyrus stands as a testament to the ingenuity and curiosity of the ancient Egyptians and serves as a reminder of the universal nature of mathematical principles that transcend time and culture.
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    A History of [pi] (pi)

    Petr Beckmann

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