List of things named after Pythagoras
Encyclopedia
This is a list of things named after Pythagoras
, the ancient Greek philosopher, mystic, mathematician, and music theorist
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Pythagoras
Pythagoras of Samos was an Ionian Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism. Most of the information about Pythagoras was written down centuries after he lived, so very little reliable information is known about him...
, the ancient Greek philosopher, mystic, mathematician, and music theorist
Music theory
Music theory is the study of how music works. It examines the language and notation of music. It seeks to identify patterns and structures in composers' techniques across or within genres, styles, or historical periods...
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Philosophy and mysticism
- PythagoreanismPythagoreanismPythagoreanism was the system of esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were considerably influenced by mathematics. Pythagoreanism originated in the 5th century BCE and greatly influenced Platonism...
– the system of philosophy of Pythagoras and his followers - NeopythagoreanismNeopythagoreanismNeopythagoreanism was a Graeco-Alexandrian school of philosophy, reviving Pythagorean doctrines, which became prominent in the 1st and 2nd centuries CE...
– a later philosophical system - Pythagorean cupPythagorean cupA Pythagorean cup is a form of drinking cup which forces its user to imbibe only in moderation. Credited to Pythagoras of Samos, it allows the user to fill the cup with wine up to a certain level. If the user fills the cup only up to that level he may enjoy his drink in peace...
– a drinking cup that forces its user to imbibe only in moderation - Pythagorean letter – the Greek letter upsilonUpsilonUpsilon is the 20th letter of the Greek alphabet. In the system of Greek numerals it has a value of 400. It is derived from the Phoenician waw. The name of the letter is pronounced in Modern Greek, and in English , , or...
, used as a symbol by the Pythagoreans - Pythagorean diet – vegetarianism
- Pythagorean symbol – the tetractysTetractysThe tetractys , or tetrad, is a triangular figure consisting of ten points arranged in four rows: one, two, three, and four points in each row...
- Pythagorean system – the distinctive system of numerology used by the Pythagoreans
Mathematics
- Pythagorean theoremPythagorean theoremIn mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle...
– the statement that the sum of the areas of the squares on the sides of a right triangleRight triangleA right triangle or right-angled triangle is a triangle in which one angle is a right angle . The relation between the sides and angles of a right triangle is the basis for trigonometry.-Terminology:The side opposite the right angle is called the hypotenuse...
is the area of the square on the hypotenuse - Pythagorean triplePythagorean tripleA Pythagorean triple consists of three positive integers a, b, and c, such that . Such a triple is commonly written , and a well-known example is . If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are pairwise coprime...
– a set of three positive integers that can occur in the Pythagorean theorem - Pythagorean expectationPythagorean expectationPythagorean expectation is a formula invented by Bill James to estimate how many games a baseball team "should" have won based on the number of runs they scored and allowed. Comparing a team's actual and Pythagorean winning percentage can be used to evaluate how lucky that team was...
– a method of statistical analysis inspired by the Pythagorean theorem - Pythagorean fieldPythagorean fieldIn algebra, a Pythagorean field is a field in which every sum of two squares is a square. A Pythagorean extension of a field F is an extension obtained by adjoining an element for some λ in F. So a Pythagorean field is one closed under taking Pythagorean extensions...
– in algebra, a fieldField (mathematics)In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it is an algebraic structure with notions of addition, subtraction, multiplication, and division, satisfying certain axioms...
in which the sum of two squares is in every case itself a square - Pythagorean primePythagorean primeA Pythagorean prime is prime number of the form 4n + 1. These are exactly the primes that can be the hypotenuse of a Pythagorean triangle.The first few Pythagorean primes are...
– a prime numberPrime numberA prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
of the form 4n + 1 - Pythagorean trigonometric identityPythagorean trigonometric identityThe Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one the basic relations between the sine and cosine functions, from which all others may be derived.-Statement of...
– any of several trigonometric identities - Pythagorean meansPythagorean meansIn mathematics, the three classical Pythagorean means are the arithmetic mean , the geometric mean , and the harmonic mean...
– the arithmetic meanArithmetic meanIn mathematics and statistics, the arithmetic mean, often referred to as simply the mean or average when the context is clear, is a method to derive the central tendency of a sample space...
, the geometric meanGeometric meanThe geometric mean, in mathematics, is a type of mean or average, which indicates the central tendency or typical value of a set of numbers. It is similar to the arithmetic mean, except that the numbers are multiplied and then the nth root of the resulting product is taken.For instance, the...
, and the harmonic meanHarmonic meanIn mathematics, the harmonic mean is one of several kinds of average. Typically, it is appropriate for situations when the average of rates is desired.... - Pythagorean addition – an arithmetic operation arising from the Pythagorean theorem
- Pythagorean quadruple
- Pythagoras's constant – the square root of 2Square root of 2The square root of 2, often known as root 2, is the positive algebraic number that, when multiplied by itself, gives the number 2. It is more precisely called the principal square root of 2, to distinguish it from the negative number with the same property.Geometrically the square root of 2 is the...
- Lute of PythagorasLute of PythagorasThe lute of Pythagoras is a geometric form made of pentagons with inscribed pentagrams where the sides of the pentagrams are the sides of the smaller pentagons. The form is a fractal, like the Koch snowflake where an infinite progression of forms fits into a finite space. The sides of the lute are...
– a geometric figure - Pythagoras treePythagoras treeThe Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, it is named after the ancient Greek mathematician Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used...
– a fractalFractalA fractal has been defined as "a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole," a property called self-similarity...
geometric figure - Table of Pythagoras, another name for the Multiplication tableMultiplication tableIn mathematics, a multiplication table is a mathematical table used to define a multiplication operation for an algebraic system....
Music
- Pythagorean commaPythagorean commaIn musical tuning, the Pythagorean comma , named after the ancient mathematician and philosopher Pythagoras, is the small interval existing in Pythagorean tuning between two enharmonically equivalent notes such as C and B , or D and C...
- Pythagorean tuningPythagorean tuningPythagorean tuning is a system of musical tuning in which the frequency relationships of all intervals are based on the ratio 3:2. This interval is chosen because it is one of the most consonant...
- Pythagorean hammersPythagorean hammersAccording to legend, Pythagoras discovered the foundations of music by listening to the sounds of four blacksmith's hammers, which produced consonance and dissonance when they were struck simultaneously...
- Pythagorean intervalPythagorean intervalIn musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa...
Other
- Pythagoras' Cave, where Pythagoras is said to have hidden from the tyrant PolycratesPolycratesPolycrates , son of Aeaces, was the tyrant of Samos from c. 538 BC to 522 BC.He took power during a festival of Hera with his brothers Pantagnotus and Syloson, but soon had Pantagnotus killed and exiled Syloson to take full control for himself. He then allied with Amasis II, pharaoh of Egypt, as...
on Mount KerkisKerkisKerkis or Kerketeus is an extinct volcano, forming the bulk of the center of the Greek island of Samos. Its highest peak, named Vigla , its maximum elevation is 1,433 m , making it the second-highest peak in the East Aegean...
on SamosSamošSamoš is a village in Serbia. It is situated in the Kovačica municipality, in the South Banat District, Vojvodina province. The village has a Serb ethnic majority and its population numbering 1,247 people .-See also:... - PythagoreionPythagoreionThe remains of the Pythagoreion, an ancient fortified port with Greek and Roman monuments and a spectacular tunnel, the Tunnel of Eupalinos or Eupalinian aqueduct, along with the Heraion of Samos were jointly registered as a UNESCO World Heritage Site in 1992....
, a town on SamosSamošSamoš is a village in Serbia. It is situated in the Kovačica municipality, in the South Banat District, Vojvodina province. The village has a Serb ethnic majority and its population numbering 1,247 people .-See also:... - Pythagoras (crater)Pythagoras (crater)Pythagoras is a prominent impact crater located near the northwestern lunar limb. It lies just to the northwest of the somewhat larger Babbage. The crater has an oval appearance due to the oblique viewing angle...
– a lunar crater - PythagoraSwitch – a Japanese TV program
- Pythagoras Mechanical Workshop MuseumPythagoras Mechanical Workshop MuseumPythagoras Mechanical Workshop Museum is located in the premises of the earlier engine factory Pythagoras at the town of Norrtälje in the province of Uppland in Sweden. At the museum, production facilities and working conditions from the first half of the 20th century are on display...
– a building—a former factory—in Sweden - School of PythagorasSchool of PythagorasThe School of Pythagoras is the oldest building in St John's College, Cambridge, and the oldest secular building in Cambridge, England. To the north is Northampton Street....
– the oldest building in St John's College, CambridgeSt John's College, CambridgeSt John's College is a constituent college of the University of Cambridge. The college's alumni include nine Nobel Prize winners, six Prime Ministers, three archbishops, at least two princes, and three Saints.... - Pythagoras ABMPythagoras ABMPythagoras is a multi-sided agent-based model created to support the growth and refinement of the U.S. Marine Corps Warfighting Laboratory's's Project Albert. Anything with a behavior can be represented as an agent. The interaction of the agents and their behaviors can lead to unexpected or...
– an agent-based software model - Knights of Pythagoras – a Masonic body for boys