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	Eudoxus of Cnidus
		Eudoxus of Cnidus (Greek Eυδοξοσ) (circa 408 BC - circa 347 BC) was a Greek astronomer, mathematician, physician, scholar and friend of Plato.
		Eudoxus invented the method of exhaustion, which was used in a masterly way by Archimedes.
		The work of Eudoxus and Archimedes as precursors of calculus was only exceeded in mathematical sophistication and rigour by Newton himself.
	www.starrepublic.org /encyclopedia/wikipedia/e/eu/eudoxus_of_cnidus.html (198 words)

	Eudoxus of Cnidus
		Eudoxus was born in Cnidos, on the Black Sea.
		Eudoxus was the most reknown astronomer and mathematician of his day.
		Eudoxus also demonstrated that the ratios of the volumes of two spheres is as the cube
	www.math.tamu.edu /~don.allen/history/eudoxus/eudoxus.html (759 words)

	MSN Encarta - Search Results - Eudoxus (of Cnidus)
		Eudoxus (of Cnidus) (408-355 bc), Greek astronomer and mathematician, who made important contributions to the field of geometry and who proposed the...
		In the 4th century bc Eudoxus of Cnidus introduced the notion of magnitude as a ratio rather than an exact number for dealing with entities such as...
		Cnidus, city of Caria, an ancient country in Asia Minor, located on the Aegean Sea, in what is now southwestern Turkey.
	ca.encarta.msn.com /Eudoxus_(of_Cnidus).html (110 words)

	TMTh:: EUDOXUS OF CNIDUS (Site not responding. Last check: 2007-10-06)
		Archimedes notes that Eudoxus was the first to prove that the cone and the pyramid are one-third respectively of the cylinder and prism with the same base and height.
		Eudoxus calculated that the ratio of the length to the width of the world was 2:1.
		Eudoxus was particularly interested in the climate in various parts of the world, and in the zones of the terrestrial globe with similar astronomical data (appearance of the night sky, length of longest day, etc.).
	www.tmth.edu.gr /en/aet/1/46.html (970 words)

	Eudoxus of Cyzicus - Wikipedia, the free encyclopedia
		Eight years later, after Ptolemy VIII's death, Eudoxus made the same trip again, hoping to make a profit this time, but suffered the same fate from the new Pharaoh, Ptolemy IX.
		At some stage during his explorations of the Arabian Sea, Eudoxus had been blown off-course and encountered the East Coast of Africa.
		On the coast of East Africa he found what he was sure were the remains of a ship from Gades in Spain.
	en.wikipedia.org /wiki/Eudoxus_of_Cyzicus (212 words)

	Eudoxus (Site not responding. Last check: 2007-10-06)
		Eudoxus of Cnidus was the son of Aischines.
		One argument in favour of thinking that Eudoxus believed in the spheres only as a computational device is the fact that he appears to have made no comment on the substance of the spheres nor on their mode of interconnection.
		Eudoxus wrote about Egypt and the religion of that country with particular authority and it is clear that he learnt much about that country in the year he spent there.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Eudoxus.html (2134 words)

	Encyclopedia: Eudoxus of Cnidus (Site not responding. Last check: 2007-10-06)
		Eudoxus of Cnidus (Greek Εύδοξος) (410 or 408 BC - 355 or 347 BC) was a Greek astronomer, mathematician, physician, scholar and friend of Plato.
		The work of Eudoxus and Archimedes as precursors of calculus was only exceeded in mathematical sophistication and rigour by Indian Mathematician Bhaskara and later by Newton.
		An algebraic curve (the Kampyle of Eudoxus) is named after him In algebraic geometry, an algebraic curve is an algebraic variety of dimension equal to 1.
	www.nationmaster.com /encyclopedia/Eudoxus-of-Cnidus (947 words)

	Eudoxus of Cnidus
		Eudoxus, born in the city of Cnidus in southern Asia Minor, in the last years of the Vth century B. C., is one of the great mathematicians of all times, and probably the greatest of ancient Greece's mathematicians.
		Toward the end of his life, he returned to his native city of Cnidus where he was involved in lawmaking.
		He is also the inventor in astronomy of a scheme to account for the mouvement of planets based on concentric spheres turning within one another, a method that was to be complexified later by Aristotle, and he can thus be viewed as the father of scientific astromony.
	plato-dialogues.org /tools/char/eudoxus.htm (607 words)

	EUDOXUS - LoveToKnow Article on EUDOXUS (Site not responding. Last check: 2007-10-06)
		The Phaenomena of Aratus is a poetical account of the astronomical observations of Eudoxus.
		2), Eudoxus held that pleasure was the chief good, because (1) all beings sought it and endeavoured to escape its contrary, pain; (2) it is an end in itself, not a relative good.
		Aristotle, who speaks highly of the sincerity of Eudoxuss convictions, while giving a qualified approval to his arguments, considers him wrong in not distinguishing the different kinds of pleasure and in making pleasure the summum bonum.
	www.1911encyclopedia.org /E/EU/EUDOXUS.htm (290 words)

	Eudoxus Systems - Biography of Eudoxus
		Eudoxus of Cnidus (c.408 - c.355 BC) was one of the greatest Greek mathematicians.
		Cnidus, latitude 36º40'N, longitude 27º20'E, was a city on the Western tip of the Resadiye peninsula in what is now Turkey.
		It is close to the Greek islands of Cos and Rhodes and the city of Halicarnassus, where King Mausolus's tomb, the Mausoleum, was one of the seven wonders of the ancient world.
	www.eudoxus.com /eudoxus.html (302 words)

	Eudoxus
		Eudoxus studied at Plato's Academy and was a student of Archytas of Tarentum.
		The kampyle curve was studied by Eudoxus also in relation to the classical problem of duplication of the cube.
		Eudoxus was one of the early mathematicians to investigate squaring the circle.
	sfabel.tripod.com /mathematik/database/Eudoxus.html (209 words)

	Eudoxus (Site not responding. Last check: 2007-10-06)
		Proclus says that he invented the theory of proportions explained in Book V. Archimedes credits Eudoxus with the proof by mean of a certain Lemma (perhaps Book X 1) of the propositions that any pyramid is one-third of a prism sharing a common base and altitude (Book XII 7 Cor.
		On the basis of this and similiarly ambiguous evidence, it is widely believed Eudoxus was the creator of the so-called "method of exhaustion" that one finds in proofs about volumes and areas in ancient Greek texts.
		It is said that Eudoxus invented a curve called the hippopede ('horse-fetter'), which resembles the present-day symbol for infinity.
	www.math.sfu.ca /histmath/Europe/Euclid300BC/EUDOXUS.HTML (322 words)

	Eudoxus, of Cnidus (Site not responding. Last check: 2007-10-06)
		Work attributed to Eudoxus includes methods to calculate the area of a circle and to derive the volume of a pyramid or a cone.
		Probably Eudoxus regarded the celestial spheres as a mathematical device for ease of computation rather than as physically real, but the idea was taken up by Aristotle and became entrenched in astronomical thought until the time of Tycho Brahe.
		In mathematics Eudoxus' early success was in the removal of many of the limitations imposed by Pythagoras on the theory of proportion.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/E/Eudoxus/1.html (189 words)

	Eudoxus of Cnidus -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-06)
		His work on proportions shows tremendous insight into (A concept of quantity derived from zero and units) numbers; it allows rigorous treatment of continuous quantities and not just whole numbers or even (An integer or a fraction) rational numbers.
		Eudoxus invented the (Click link for more info and facts about method of exhaustion) method of exhaustion, which was used in a masterly way by (Greek mathematician and physicist noted for his work in hydrostatics and mechanics and geometry (287-212 BC)) Archimedes.
		Also, (A bowl-shaped depression formed by the impact of a meteorite or bomb) craters on (The 4th planet from the sun) Mars and the (Any natural satellite of a planet) Moon are named in his honor.
	www.absoluteastronomy.com /encyclopedia/E/Eu/Eudoxus_of_Cnidus.htm (260 words)

	Eudoxus of Cnidus History Summary (Site not responding. Last check: 2007-10-06)
		As a physician, Eudoxus was accustomed to making detailed observations, one of the few areas in which ancient medicine excelled, and the record of data he compiled at Heliopolis was quite thorough.
		Given the spherical shape of Earth, Eudoxus imagined a series of concentric spheres around it, and eventually developed a description of 27 spheres necessary for picturing the movement of all known bodies.
		Eudoxus moved to Athens, but when the people of Cnidus overthrew the oligarchy there and established a democracy, they asked him to come back and write a constitution for the new state.
	www.bookrags.com /history/sciencehistory/eudoxus-of-cnidus-scit-01123 (543 words)

	Eudoxus of Cnidus
		Eudoxus of Cnidus (Εύδοξος ο Κνίδιος), (408-355 BC) son of Aeschines, Greek mathematician, astronomer, geographer and philosopher, whose genius was apparent from a very young age.
		Archimedes notes in a letter to Eratosthenes that Eudoxus was the first to prove that the cone and the pyramid are one-third respectively of the cylinder and prism with the same base and height and that the formula was known to Democritus was he could not provide a proof.
		Eudoxus is considered to have found the Hippopede (Horse Foot) curve which in today terms can be written as a special form of the polar equation r
	www.mlahanas.de /Greeks/Eudoxus.htm (1436 words)

	Eudoxus of Cnidus Biography / Biography of Eudoxus of Cnidus Main Biography
		Eudoxus of Cnidus Biography / Biography of Eudoxus of Cnidus Main Biography
		The astronomer, mathematician, and physician Eudoxus of Cnidus (ca.
		Eudoxus was born in Cnidus, a Greek colony in Asia Minor, into a family of physicians; he studied at the medical school there.
	www.bookrags.com /biography-eudoxus-of-cnidus (260 words)

	History of Ancient World Mathematics Page
		Eudoxus was born in Cnidus where he spent his youth in poverty like many of his fellow mathematicians.
		It is said that Eudoxus 'inherited the mess that Zeno left the world and not much more' which is probably an apt summation considering the upheaval some of Zeno's ideas caused in the Greek mathematical community.
		Eudoxus travelled to Egypt with Plato where like Pythagoras before him Plato succumbed to the 'Eastern Number Mysticism' which was verging upon religion status.
	www.unisanet.unisa.edu.au /07305/ancmm.htm (1093 words)

	Eudoxus of Cnidus
		Eudoxus, of Cnidus, Greek savant, flourished about the middle of the 4th century BC.
		Several works have been attributed to him, but they are all lost; some fragments are preserved in the extant work of the astronomer Hipparchus.
		According to Aristotle's Ethics, Eudoxus held that pleasure was the chief good, because (1) all beings sought it and endeavored to escape its contrary, pain; (2) it is an end in itself, not a relative good.
	www.nndb.com /people/658/000096370 (313 words)

	Eudoxus of Cnidus -- Encyclopædia Britannica
		Greek mathematician and astronomer who substantially advanced proportion theory, contributed to the identification of constellations and thus to the development of observational astronomy in the Greek world, and established the first sophisticated, geometrical model of celestial motion.
		More results on "Eudoxus of Cnidus" when you join.
		Epicurus' predecessors were in physics Leucippus and Democritus and in ethics Antiphon Sophista, Aristippus of Cyrene, and Eudoxus of Cnidus, a geometer and astronomer.
	www.britannica.com /eb/article-9033194 (774 words)

	AllRefer.com - Eudoxus of Cnidus (Astronomy, Biography) - Encyclopedia
		From the accounts of various ancient writers, he appears to have studied with Plato in Athens, spent some time in Heliopolis, Egypt, founded a school in Cyzicus, and spent his later years in Cnidus, where he had an observatory.
		It is claimed that he calculated the length of the solar year, indicating a calendar reform like that made later by Julius Caesar, and that he was the discoverer of some parts of geometry included in the work of Euclid.
		More articles from AllRefer Reference on Eudoxus of Cnidus
	reference.allrefer.com /encyclopedia/E/EudoxusCn.html (243 words)

	Life (from Eudoxus of Cnidus) -- Encyclopædia Britannica (Site not responding. Last check: 2007-10-06)
		More results on "Life (from Eudoxus of Cnidus)" when you join.
		The city was an important commercial centre, the home of a famous medical school, and the site of the observatory of the astronomer Eudoxus.
		Cnidus was one of six cities in the Dorian Hexapolis and hosted the Dorian games every four years.
	www.britannica.com /eb/article?tocId=2180 (831 words)

	Eudoxus de Cnidus (Site not responding. Last check: 2007-10-06)
		Eudoxus de Cnidus (el Griego E) (el circa 347 del circa 408 A.C. - A.C.) era astrónomo, matemático, médico, un erudito y un amigo griegos de Platón.
		Eudoxus inventó el método de agotamiento, que fue utilizado en principal una manera por Archimedes.
		El trabajo Eudoxus y Archimedes como precursores del cálculo fue excedido solamente en la sofisticación matemática y el rigor por Newton mismo.
	www.yotor.net /wiki/es/eu/Eudoxus%20de%20Cnidus.htm (237 words)

	Eudoxus Of Cnidus Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-06)
		Looking For eudoxus of cnidus - Find eudoxus of cnidus and more at Lycos Search.
		Eudoxus of Cnidus (Greek Εύδοξος) (410 or 408 BC - 355 or 347 BC) was a Greek astronomer, mathematician, physician, scholar and friend of Plato.
		Theodosius of Bithynia's Sphaerics may be based on a work of Eudoxus.
	www.karr.net /encyclopedia/Eudoxus_of_Cnidus (425 words)

	[No title]
		Eudoxus claimed that the motion of planets cannot be simply described by using one, perfect circular trajectory.
		For Eudoxus, a planet's motion was the consequence of a combination of a number of circular motions.
		Eudoxus' theory explaining the looping motion of the planets and variations in the apparent diameter of the moon and brightness of the planets.
	www.as.udayton.edu /www/hstweb/Ch1~1.htm (8363 words)

	Read about Eudoxus of Cnidus at WorldVillage Encyclopedia. Research Eudoxus of Cnidus and learn about Eudoxus of Cnidus ... (Site not responding. Last check: 2007-10-06)
		Tartaglia and others in the 1500s, it became the basis for quantitative work in science for a century, until it was replaced by the algebraic methods of
		The work of Eudoxus and Archimedes as precursors of calculus was only exceeded in mathematical sophistication and rigour by Indian Mathematician Bhaskara and later by
		Mars and the Moon are named in his honor.
	encyclopedia.worldvillage.com /s/b/Eudoxus_of_Cnidus (211 words)

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