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By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-year-old Einstein, a young blind girl, Leonardo da Vinci, and a future president of the United States. Here--perhaps for the first time in English--is the full story of this famous theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years before him. He may have been the first to prove it, but his proof--if indeed he had one--is lost to us. Euclid immortalized it as Proposition 47 in his 'Elements', and it is from there that it has passed down to generations of students. The theorem is central to almost every branch of science, pure or applied. It has even been proposed as a means to communicate with extraterrestrial beings, if and when we discover them. And, expanded to four-dimensional space-time, it plays a pivotal role in Einstein's theory of relativity. In this book, Eli Maor brings to life many of the characters that played a role in the development of the Pythagorean theorem, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.

Pythagorean theorem --- History. --- Pythagoras' theorem --- Pythagorean proposition --- Theorem, Pythagorean --- Geometry, Plane --- History --- Pythagore, théorème de --- Histoire

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Was Plato a Pythagorean? Plato's students and earliest critics thought so, but later scholars have been more skeptical. This book reconsiders this question by arguing that a specific type of Pythagorean philosophy, called 'mathematical' Pythagoreanism played a profound role in Plato's philosophy.

Philosophy, Ancient --- Mathematics, Ancient. --- Pythagorean theorem. --- Pythagoras and Pythagorean school. --- Philosophie ancienne --- Mathématiques anciennes --- Pythagore, Théorème de --- Pythagorisme --- Plato. --- Pythagoriciens --- Platon, --- Et les mathématiques --- Mathématiques anciennes --- Pythagore, Théorème de --- Mathematics, Ancient --- Pythagoras and Pythagorean school --- Pythagorean theorem --- Ancient mathematics --- Pythagoras' theorem --- Pythagorean proposition --- Theorem, Pythagorean --- Geometry, Plane --- Aflāṭūn --- Aplaton --- Bolatu --- Platonas --- Platone --- Po-la-tʻu --- Pʻŭllatʻo --- Pʻŭllatʻon --- Pʻuratʻon --- Πλάτων --- אפלטון --- פלאטא --- פלאטאן --- פלאטו --- أفلاطون --- 柏拉圖 --- 플라톤 --- Plato --- Platon --- Platoon --- Théorème de Pythagore --- Théorème de Pythagore. --- Pythagoriciens. --- Платон --- プラトン --- Et les mathématiques. --- Théorème de Pythagore. --- Et les mathématiques.