Search results
Results from the WOW.Com Content Network
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]
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.
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.
Today, Pythagoras is mostly remembered for his mathematical ideas, and by association with the work early Pythagoreans did in advancing mathematical concepts and theories on harmonic musical intervals, the definition of numbers, proportion and mathematical methods such as arithmetic and geometry.
The tetractys. The tetractys (Greek: τετρακτύς), or tetrad, [1] or the tetractys of the decad [2] is a triangular figure consisting of ten points arranged in four rows: one, two, three, and four points in each row, which is the geometrical representation of the fourth triangular number.
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
Pythagoras developed a school of philosophy that was both dominated by mathematics and "profoundly mystical". [3] Philolaus has been called one of "the three most prominent figures in the Pythagorean tradition" [ 4 ] and "the outstanding figure in the Pythagorean school", who may have been the first "to commit Pythagorean doctrine to writing ...
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.