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Pythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans...76 KB (9,712 words) - 19:26, 23 May 2024
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...92 KB (12,566 words) - 21:51, 4 May 2024
A Pythagorean cup (also known as a Pythagoras cup, Greedy Cup, Cup of Justice or Tantalus cup) is a practical joke device in a form of a drinking cup...7 KB (830 words) - 13:58, 10 June 2024
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. This ratio, also known as...27 KB (2,722 words) - 01:50, 5 June 2024
Garfield's proof of the Pythagorean theorem is an original proof the Pythagorean theorem invented by James A. Garfield (November 19, 1831 – September 19...4 KB (684 words) - 00:47, 8 March 2024
Semitone (redirect from Pythagorean limma)in a Pythagorean tuning. The Pythagorean limma and Pythagorean apotome are enharmonic equivalents (chromatic semitones) and only a Pythagorean comma...36 KB (4,098 words) - 14:22, 2 June 2024
Major sixth (redirect from Pythagorean major sixth)Another major sixth is the Pythagorean major sixth with a ratio of 27:16, approximately 906 cents, called "Pythagorean" because it can be constructed...7 KB (912 words) - 21:05, 14 August 2023
Minor third (redirect from Pythagorean minor third)(or Pythagorean minor third) is the interval 32:27 (approximately 294.13 cents). It is the minor third in Pythagorean tuning. The 32:27 Pythagorean minor...8 KB (976 words) - 12:39, 30 March 2024
perhaps leads to, the Pythagorean conception of mathematics as nature's modus operandi. As Aristotle was later to write, "the Pythagoreans construct the whole...53 KB (6,691 words) - 20:41, 10 November 2023
was developed in the fifth century BC and has been attributed to the Pythagorean philosopher Philolaus. The system has been called "the first coherent...18 KB (2,280 words) - 00:49, 4 January 2024- Pythagorean Method of Memorization (PYMOM), also known as Triangular Movement Cycle (TMC), is a game-based, educational methodology or associative-learning...8 KB (1,024 words) - 14:20, 26 July 2022
Philolaus (category Pythagoreans of Magna Graecia)Ancient Greek: Φιλόλαος, Philólaos; c. 470 – c. 385 BC) was a Greek Pythagorean and pre-Socratic philosopher. He was born in a Greek colony in Italy...17 KB (2,197 words) - 13:52, 11 March 2024
Tetractys (category Pythagorean symbols)As a mystical symbol, it was very important to the secret worship of Pythagoreanism. There were four seasons, and the number was also associated with planetary...10 KB (1,040 words) - 03:33, 7 April 2024
Just intonation (section Pythagorean tuning)does not tell us everything there is to know about a particular scale. Pythagorean tuning, or 3 limit tuning, allows ratios including the numbers 2 and...50 KB (5,543 words) - 11:39, 28 April 2024
Minor seventh (redirect from Pythagorean small minor seventh)intonation there is both a 16:9 "small just minor seventh", also called the "Pythagorean small minor seventh",(Play) equivalent to two perfect fourths stacked...4 KB (467 words) - 07:37, 27 May 2024
know the Pythagorean theorem, but that "there is no evidence that they used it to construct right angles". The following are all the Pythagorean triple...20 KB (1,681 words) - 19:37, 20 April 2024- to a large number of metaphorical constructions. For example, the Pythagorean position that all is number, and the associated crisis of confidence that...23 KB (2,959 words) - 06:04, 14 October 2023
- Tritone (redirect from Pythagorean augmented fourth)is often corrected to 4:3 on the natural horn in just intonation or Pythagorean tunings, but the pure eleventh harmonic was used in pieces including...44 KB (5,228 words) - 01:24, 11 May 2024
Major second (redirect from Pythagorean major second)41-ET, 53-ET, and 72-ET. Conversely, in twelve-tone equal temperament, Pythagorean tuning, and meantone temperament (including 19-ET and 31-ET) all major...12 KB (1,324 words) - 02:28, 16 October 2023
Law of cosines (section Using the Pythagorean theorem)\beta .\end{aligned}}} The law of cosines generalizes the Pythagorean theorem, which holds only for right triangles: if γ {\displaystyle \gamma...36 KB (5,652 words) - 00:20, 14 May 2024
- Burnet The Pythagoreans 2608152Early Greek Philosophy — The Pythagoreans1920John Burnet Layout 2 CHAPTER VII THE PYTHAGOREANS 138.The Pythagorean school
- Pythagoras (redirect from Pythagoreans)mystic, scientist, and putative founder of the traditions referred to as Pythagoreanism. I was Euphorbus at the siege of Troy. As reported by Heraclides Ponticus
- Supplementary, Vertical Geometry/Chapter 14 Pythagorean Theorem: Proof Geometry/Chapter 15 Pythagorean Theorem: Distance and Triangles Geometry/Chapter