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Topic: Pythagoras

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Pythagorean theorem

Pythagorean

6th century BC

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347 BC

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Music of the spheres

240 BC

580s BC

530 BC

	Pythagoras
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		The University of Essex have chosen Pythagoras Space and Information Manager
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	www.pythagoras.se (129 words)

	Pythagoras - Crystalinks
		Pythagoras and his students believed that everything was related to mathematics, and thought that everything could be predicted and measured in rhythmic patterns or cycles.
		Whether Pythagoras himself proved this theorem is not known, as it was common in the ancient world to credit to a famous teacher the discoveries of his students.
		Pythagoras' followers were commonly called "Pythagoreans." For the most part we remember them as philosophical mathematicians who had an influence on the beginning of axiomatic geometry, which after two hundred years of development was written down by Euclid in The Elements.
	www.crystalinks.com /pythagoras.html (1050 words)

	Pythagoras - MSN Encarta
		Born on the island of Sámos, Pythagoras was instructed in the teachings of the early Ionian philosophers Thales, Anaximander, and Anaximenes.
		Pythagoras is said to have been driven from Sámos by his disgust for the tyranny of Polycrates.
		Pythagoras himself was said to have claimed that he had been Euphorbus, a warrior in the Trojan War, and that he had been permitted to bring into his earthly life the memory of all his previous existences.
	encarta.msn.com /encyclopedia_761563435/Pythagoras.html (409 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Pythagoras, "the father of numbers," was born on the island of Samos off the Greek coast.
		Pythagoras is widely regarded as the founder of modern mathematics, musical theory, philosophy and the science of health (hygiene).
		Pythagoras is sometimes considered to be the pupil of Anaximander and is reputed by very early sources to have visited Thales in his twenties, just before Thales died.
	wikiwhat.com /encyclopedia/p/py/pythagoras.html (658 words)

	Secret Teachings of All Ages: The Life and Philosophy of Pythagoras
		Pythagoras believed that all the sidereal bodies were alive and that the forms of the planets and stars were merely bodies encasing souls, minds, and spirits in the same manner that the visible human form is but the encasing vehicle for an invisible spiritual organism which is, in reality, the conscious individual.
		Pythagoras also taught that each species of creatures had what he termed a seal, given to it by God, and that the physical form of each was the impression of this seal upon the wax of physical substance.
		Pythagoras believed that ultimately man would reach a state where he would cast off his gross nature and function in a body of spiritualized ether which would be in juxtaposition to his physical form at all times and which might be the eighth sphere, or Antichthon.
	www.sacred-texts.com /eso/sta/sta15.htm (5606 words)

	Pythagoras
		Pythagoras rejected these accusations, but was forced by his enemies to take refuge in a cave of Month Kerkis, and then to leave Samos.
		Pythagoras was the first to call the heavens "cosmos", because they are adorned with life and were created by a kind of harmony, which was later imitated by the lyre.
		Pythagoras developed the theory that animals are generated one from another by means of sperm, since sperm according to him is a drop of brain matter which contains hot steam.
	www.greece.org /samians/pythagoras.htm (984 words)

	Pythagoras - Wikipedia, the free encyclopedia
		Pythagoras of Samos (approximately 582 BC–507 BC, Greek: Πυθαγόρας) was an Ionian (Greek) mathematician and philosopher, founder of the mystic, religious and scientific society called Pythagoreans.
		Pythagoras was born on the island of Samos (Greek East Coast), off the coast of Asia Minor.
		Pythagoras undertook a reform of the cultural life of Crotone, urging the citizens to follow virtue and form an elite circle of followers around himself.
	en.wikipedia.org /wiki/Pythagoras (1931 words)

	PYTHAGORAS
		Pythagoras was born in on the island of Samos, in the Aegean Sea.
		Pythagoras was the head of the society with an inner circle of followers known as mathematikoi.
		Pythagoras noticed that vibrating strings produce harmonious tones when the ratios of the lengths of the strings are whole numbers, and that these ratios could be extended to other instruments.
	www.btinternet.com /~orionmoon/PY.htm (2061 words)

	Pythagoras, Phoenician/Greek Mathematician
		Pythagoras was refused admission to all the temples except the one at Diospolis where he was accepted into the priesthood after completing the rites necessary for admission.
		Pythagoras was dragged into all sorts of diplomatic missions by his fellow citizens and forced to participate in public affairs.
		After [Thales, etc. ] Pythagoras transformed the study of geometry into a liberal education, examining the principles of the science from the beginning and probing the theorems in an immaterial and intellectual manner: he it was who discovered the theory of irrational and the construction of the cosmic figures.
	phoenicia.org /pythagoras.html (3097 words)

	Pythagoras and the Pythagoreans
		Pythagoras held that one of the first principles, the monad, is god and the good, which is the origin of the One, and is itself intelligence; but the undefined dyad is a divinity and the bad, surrounding which is the mass of matter.
		Pythagoras: The universe is made from five solid figures, which are called also mathematical; of these he says that earth has arisen from the cube, fire from the pyramid, air from the octahedron, and water from the icosahedron, and the sphere of the all from the dodecahedron.
		Thales, Pythagoras, and their followers: The sphere of the whole heaven is divided into five circles, which they call zones; the first of these is called the arctic zone and is ever visible; the second the summer solstice, the third the equinoctial, the fourth the winter solstice, and fifth the antarctic zone, which is invisible.
	history.hanover.edu /texts/presoc/pythagor.htm (5484 words)

	Pythagoras
		Pythagoras believed that 1 is the source of all numbers.
		Pythagoras revealed many mathematical truths and profound relationships are continuing to be discovered.
		Pythagoras was exceptional amongst the great philsophers for having been a musician and having discovered the most important musical relationships.
	www.geocities.com /apollonius_theocritos/Pythagoras.htm (586 words)

	Biographies (Site not responding. Last check: 2007-11-07)
		Pythagoras was an ethical vegetarian, and according to Ovid, said the following: "As long as man continues to be the ruthless destroyer of lower living beings he will never know health or peace.
		Pythagoras is most commonly credited with developing the Pythagorean theorem, although Indian, Greek, Chinese, and Babylonian mathematicians knew the facts of the theorem well before his time.
		Pythagoras escaped to Metapontium, where most say he died and some claim he committed suicide because of the attack on his society.
	tulsagrad.ou.edu /statistics/biographies/Pythagoras.htm (337 words)

	Geometry in Art & Architecture Unit 3
		Pythagoras was born in Ionia on the island of Sámos, and eventually settled in Crotone, a Dorian Greek colony in southern Italy, in 529 B.C.E. There he lectured in philosophy and mathematics.
		Pythagoras' philosophy is known only through the work of his disciples, and it's impossible to know how much of the "Pythagorean" discoveries were made by Pythagoras himself.
		Pythagoras and his followers died when their meetinghouse was torched.
	www.dartmouth.edu /~matc/math5.geometry/unit3/unit3.html (2139 words)

	Pythagoras (Site not responding. Last check: 2007-11-07)
		Pythagoras utilized this seeming misfortune as an opportunity for growth, and for the next twelve years he studied with the Magi and was initiated into the Chaldean Mysteries.
		Pythagoras was opposed to wrestling, saying that men who intended to practice the virtues of friendship should not begin by throwing one another on the sand and rolling about like wild beasts.
		Pythagoras himself was a strict vegetarian and the members of his esoteric school were not allowed to eat meat.
	www.wisdomworld.org /additional/ancientlandmarks/Pythagoras.html (2357 words)

	Pythagoras (Stanford Encyclopedia of Philosophy)
		Pythagoras succeeded in promulgating a new more optimistic view of the fate of the soul after death and in founding a way of life that was attractive for its rigor and discipline and that drew to him numerous devoted followers.
		In the modern world Pythagoras is most of all famous as a mathematician, because of the theorem named after him, and secondarily as a cosmologist, because of the striking view of a universe ascribed to him in the later tradition, in which the heavenly bodies produce “the music of the spheres” by their movements.
		Pythagoras is known for the honor he gives to number and for removing it from the practical realm of trade and instead pointing to correspondences between the behavior of number and the behavior of things.
	plato.stanford.edu /entries/pythagoras (10548 words)

	Pythagoras - Free Encyclopedia of Thelema
		Pythagoras, known as "the father of numbers", made influential contributions to Greek philosophy and religious teaching in the late 6th century BC.
		Pythagoras and his students believed that everything was related to mathematics, and felt that everything could be predicted and measured in rhythmic cycles.
		Pythagoras was born on the island of Samos, off the coast of Asia Minor.
	www.egnu.org /thelemapedia/index.php/Pythagoras (1101 words)

	Pythagoras [Internet Encyclopedia of Philosophy]
		Originally from Samos, Pythagoras founded at Kroton (in southern Italy) a society which was at once a religious community and a scientific school.
		Pythagoras argued that there are three kinds of men, just as there are three classes of strangers who come to the Olympic Games.
		It may be taken as certain that Pythagoras himself discovered the numerical ratios which determine the concordant intervals of the musical scale.
	www.utm.edu /research/iep/p/pythagor.htm (906 words)

	The Prime Glossary: Pythagoras
		Pythagoras (circa 580 - 500 B.C.) was a native of the Aegean Island of Samos and founded a school in southern Italy.
		A central belief of Pythagoras and his followers was that "everything is number." To the Pythagoreans a number was a quantity that could be expressed as a ratio of two integers (a rational number).
		It is believed that Pythagoras (or at least the Pythagoreans since they had a habit of attributing all their discoveries to Pythagoras) also developed several of the figurate numbers: numbers derived from arranging dots is regular patterns.
	primes.utm.edu /glossary/page.php?sort=Pythagoras (318 words)

	pythagoras
		It is also known that when Pythagoras died, his wife Teano (who had been a teacher at the school) ran the school together with her two daughters.
		Pythagoras was the first to see that Venus as an evening star is the same as Venus as a morning star.
		The Pythagoras theorem states that the sum of the squares of the lengths of the two adjacent legs of a right triangle is equal to the square of the length of the hypotenuse.
	home.c2i.net /greaker/comenius/9899/pythagoras/pythagoras.html (1654 words)

	The History of Pythagoras and his Theorem
		Pythagoras was born in the island of Samos in ancient Greece
		When Pythagoras was about 18 years old he went to the island of Lesbos where he worked and learned from Anaximander, an astronomer and philosopher, and Thales of Miletus, a very wise philosopher and mathematician.
		Pythagoras arrived in Egypt around 547 BC when he was 23 years old.
	www.arcytech.org /java/pythagoras/history.html (927 words)

	MathsNet: Interactive Pythagoras's Theorem
		Pythagoras was born about 569 BC in Samos, Ionia and died about 475 BC.
		Born on the island of Sámos, Pythagoras was instructed in the teachings of the early Ionian philosophers Thales, Anaximander, and Anaximenes.
		Pythagoras is said to have been driven from Sámos by his disgust for the tyranny of Polycrates.
	www.mathsnet.net /dynamic/pythagoras/index.html (207 words)

	PYTHAGORAS
		Pythagoras, one of the earliest of the ancient Greek philosophers, was born in Samos and died probably in Metapontum (South-Italy) ° 575 BC- +500 BC.
		Pythagoras and his followers have exercised an important influence on the public and political life.
		Pythagoras maintained that the fire was at the centre of the cosmos.
	mathsforeurope.digibel.be /Pythagoras5.html (1559 words)

	Harmony and Proportion: Pythagoras: Music and Space
		Pythagoras (6th century BC) observed that when the flsmith struck his anvil, different notes were produced according to the weight of the hammer.
		Pythagoras himself wrote nothing which has survived, and so it is the Platonists we have to thank for recording and developing what had hitherto been passed down through two hundred and fifty years of oral tradition.
		Pythagoras taught that each of the seven planets produced by its orbit a particular note according to its distance from the still centre which was the Earth.
	www.aboutscotland.com /harmony/prop.html (671 words)

	Pythagoras (Site not responding. Last check: 2007-11-07)
		This unit is an introduction to Pythagoras’ Theorem, including history, proofs, and practise in application of the theorem.
		Pythagoras of Samos lived from about 569 BC to about 475 BC, he was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music.
		There have been many proofs of Pythagoras’ Theorem (there are 38 at http://www.cut-the-knot.org/pythagoras/) but one of the clearest and easiest to understand is the one used by Pythagoras himself.
	www.nzmaths.co.nz /Measurement/Length/Pythagoras.htm (1667 words)

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