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The Pythagorean theorem was known and used by the Babylonians and Indians centuries before Pythagoras, [216] [214] [217] [218] but he may have been the first to introduce it to the Greeks. [219] [217] Some historians of mathematics have even suggested that he—or his students—may have constructed the first proof. [220]
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
The Golden Verses Of Pythagoras And Other Pythagorean Fragments. Theosophical Publishing House. Joost-Gaugier, Christiane L. (2007). Measuring Heaven: Pythagoras and his Influence on Thought and Art in Antiquity and the Middle Ages. Cornell University Press. ISBN 978-0-8014-7409-5; Kahn, Charles H. (2001). Pythagoras and the Pythagoreans: A ...
In Croton, Pythagoras established the first Pythagorean community, described as a secret society, and attained political influence. In the early 5th century BC Croton acquired great military and economic importance. Pythagoras emphasised moderation, piety, respect for elders and of the state, and advocated a monogamous family structure. The ...
Pythagoreanism, the esoteric and metaphysical beliefs purported to have been held by Pythagoras; Neopythagoreanism, a school of philosophy reviving Pythagorean doctrines that became prominent in the 1st and 2nd centuries AD; Pythagorean diet, the name for vegetarianism before the nineteenth century
The legend is, at least with respect to the hammers, demonstrably false. It is probably a Middle Eastern folk tale. [2] These proportions are indeed relevant to string length (e.g. that of a monochord) — using these founding intervals, it is possible to construct the chromatic scale and the basic seven-tone diatonic scale used in modern music, and Pythagoras might well have been influential ...
A Pythagorean Cup (also known as a Pythagoras Cup, Greedy Cup, Cup of Justice, Anti Greedy Goblet or Tantalus Cup) is a practical joke device in a form of a drinking cup, credited to Pythagoras of Samos. When it is filled beyond a certain point, a siphoning effect causes the cup to drain its entire contents through the base.
Nicomachus of Gerasa says that they were "acknowledged by all the ancients, Pythagoras, Plato and Aristotle." [2] Their earliest known use is a fragment of the Pythagorean philosopher Archytas of Tarentum: There are three means in music: one is arithmetic, second is the geometric, third is sub-contrary, which they call harmonic.