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Topic: Eudoxus of Cyzicus


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In the News (Thu 3 Dec 09)

  
  Eudoxus of Cnidus - Wikipedia, the free encyclopedia
Eudoxus of Cnidus (Greek Εύδοξος) (410 or 408 BC - 355 or 347 BC) was a Greek astronomer, mathematician, physician, scholar and friend of Plato.
Eudoxus rigorously developed Antiphon's method of exhaustion, which was used in a masterly way by Archimedes.
However, Eudoxus' importance to Greek astronomy is considerable, as he was the first to attempt a mathematical explanation of the planets.
en.wikipedia.org /wiki/Eudoxus_of_Cnidus   (875 words)

  
 Eudoxus   (Site not responding. Last check: 2007-10-31)
Eudoxus made important contributions to the theory of proportion, where he made a definition allowing possibly irrational lengths to be compared in a similar way to the method of cross multiplying used today.
Eudoxus may have regarded his system of spheres simply as an abstract geometrical model, but Aristotle took it to be a description of the physical world.
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.stetson.edu /~efriedma/periodictable/html/Xe.html   (525 words)

  
 Eudoxus biography
Eudoxus of Cnidus was the son of Aischines.
The proofs of these results are attributed to Eudoxus by Archimedes in his work On the sphere and cylinder and of course Archimedes went on to use Eudoxus's method of exhaustion to prove a remarkable collection of theorems.
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.
www-groups.dcs.st-and.ac.uk /~history/Biographies/Eudoxus.html   (2301 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.
On the coast of East Africa he found what he was sure were the remains of a ship from Gades in Spain.
Eudoxus (under the Greek spelling of his name, Eudoxos) is the narrator of L.
en.wikipedia.org /wiki/Eudoxus_of_Cyzicus   (247 words)

  
 Eudoxus of Cnidus   (Site not responding. Last check: 2007-10-31)
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 /~dallen/history/eudoxus/eudoxus.html   (759 words)

  
 Eudoxus   (Site not responding. Last check: 2007-10-31)
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   (324 words)

  
 [No title]   (Site not responding. Last check: 2007-10-31)
EUDOXUS, of Cyzicus, Greek navigator, flourished about 130 B.C. He was employed by Ptolemy Euergetes, who sent out a fleet under him to explore the Arabian Sea.
After two successful voyages, Eudoxus left the Egyptian service, and proceeded to Cadiz with the object of fitting out an expedition for the purpose of African discovery; and we learn from Strabo, who utilized the results of his observations, that the veteran explorer made at least two voyages southward along the coast of Africa.
There is a good account of Eudoxus in E. Bunbury, History of Ancient Geography, ii.
encyclopedia.jrank.org /correction/edit?locale=en&content_id=23814   (136 words)

  
 Eudoxus (print-only)
Eudoxus spent two months in Athens on this visit and he certainly attended lectures on philosophy by Plato and other philosophers at the Academy which had only been established a short time before.
The homocentric sphere system proposed by Eudoxus consisted of a number of rotating spheres, each sphere rotating about an axis through the centre of the Earth.
These view are still quite widely held but the article [19] argues convincingly that this is not so and that the ideas which influenced Eudoxus to come up with his masterpiece of 3-dimensional geometry were Pythagorean and not from Plato.
www-groups.dcs.st-and.ac.uk /history/Printonly/Eudoxus.html   (2177 words)

  
 Eudoxus
Eudoxus spent two months in Athens on this visit and he certainly attended lectures on philosophy by
The question of whether Eudoxus thought of his spheres as geometry or a physical reality is studied in the interesting paper [29] which argues that Eudoxus was more interested in actually representing the paths of the planets than in predicting astronomical phenomena.
Plato was the inspiration for Eudoxus's representation of planetary motion by his system of homocentric spheres.
www.educ.fc.ul.pt /icm/icm2003/icm14/Eudoxus.htm   (2014 words)

  
 Eudoxus (407-354 B.C.)
In this work Eudoxus endeavoured to frame a map of the stars, and of the times of their rising and setting, with a view to determine the precise relation of the sun's path in the heavens to the equator.
There is good reason also to attribute to Eudoxus the accurate doctrine of proportions contained in the 5th definition of the 5th book, as contrasted with the 21st proposition of the 7th book, which only applies to commensurable magnitudes.
The work of Eudoxus is mentioned by Comte as the point of definite separation between philosophy and science.
www.usefultrivia.com /biographies/eudoxus_001.html   (414 words)

  
 eudoxus - Books, journals, articles @ The Questia Online Library
Eudoxus of Cnidus, associated with Platos school and celebrated by other sources for his many achievements in geometry, is acknowledged...
Lloyd is critical of Aristotles analysis of Eudoxus and Callipus in chapter 8.
Aristotle is guilty of not arguing...technical rigor on the astronomical conclusions reached by Eudoxus and Callipus.
www.questia.com /SearchNoAuthMediator.qst?af=1&action=1&act=kwrdOnly&keywords=eudoxus   (1447 words)

  
 Cyzicus
In 410 B.C., Alcibiades defeated a Spartan fleet off Cyzicus, and in 74 B.C. the city withstood a siege by Mithradates VI of Pontus.
Eudoxus of Cyzicus - Eudoxus of Cyzicus, fl.
Eunomius - Eunomius, c.A.D. 333–A.D. 393?, bishop of Cyzicus (c.361), founder of the Eunomian heresy.
www.factmonster.com /ce6/history/A0814440.html   (169 words)

  
 Greatest emporium in the world
Eudoxus of Cyzicus, an adventurous Greek seaman employed by Ptolemy VIII for navigation up the Nile, was appointed to that mission.
The second, under the sole guidance of Eudoxus, occurred in 116 BC, just after the death of Ptolemy VIII and during the reign of Cleopatra III, his wife and queen.
Not long after Eudoxus, a new important office was created for the first time in the Egyptian administration, that of ‘commander of the Red and Indian Seas’, very probably under Ptolemy XII, nicknamed Auletes (80–51 BC).
www.unesco.org /csi/pub/source/alex5.htm   (2691 words)

  
 [No title]
It was republished in English in 1966 as Eudoxus of Cyzicus: A Chapter in the History of the Sea-Route to India and the Route Round the Cape in Ancient Times.
Eudoxus was what we would now call a diplomatic courier, who was in Egypt during the reign of Euergetes II.
Eudoxus made friends with the locals, did a bit of ethnographic research, and (another persuasive detail) came across a bit of flotsam whose discovery was a turning-point in his life: a horsehead prow from a wreck, identified as originating in Cadiz.
www.skupinbooks.com /books/A_Digression.doc   (1795 words)

  
 Diogenes Laertius: Life of Eudoxus, from Lives of the Philosophers, translated by C.D. Yonge
BY DIOGENES LAERTIUS, TRANSLATED BY C.D. Eudoxus was the son of Aeschines, and a native of Cnidos.
We also find another, who was a physician of Cnidos, who is mentioned by this Eudoxus, in his Circuit of the World, where he says that he used to warn people to keep constantly exercising their limbs in every kind of exercise, and their senses too.
The same author says, that the Cnidean Eudoxus flourished about the hundred and third Olympiad; and that he was the inventor of the theory of crooked lines.
classicpersuasion.org /pw/diogenes/dleudoxus.htm   (797 words)

  
 Spice Unit Frame
King Ptolemy entrusted an adventurous seaman, known as Eudoxus of Cyzicus, with this mission.
The king's navigator Eudoxus returned to Alexandria with a cargo of ivory, aromatics and precious stones within that year.
Though using the monsoon winds, he was blown off course and landed on the coast of Ethiopia, perhaps not yet mastering the northeastern monsoon.
ias.berkeley.edu /orias/spice/textobjects/sailor.htm   (447 words)

  
 History of Egypt, by S. Rappoport, Volume 10, C.
He was willing to show any one the route by which he had sailed; and Eudoxus of Cyzicus in Asia Minor came to Alexandria to persuade Euergetes to give him the command of a vessel for this voyage of discovery.
In the last reign Eudoxus had been entrusted by Euergetes with a vessel and a cargo for a trading voyage of discovery towards India; and in this reign he was again sent by Cleopatra down the Red Sea to trade with the unknown countries in the east.
Eudoxus justly argued that this prow proved that it was possible to sail round Africa and to reach India by sea from Alexandria.
www.gutenberg.org /files/17330/17330-h/v10c.htm   (18061 words)

  
 Eudoxus
I established a school at Cyzicus, located in northwestern Asia Minor, on the shore of the Marmora Sea.
Before leaving, Eudoxus informed us that his plans for the rest of eternity include discovering how far pi goes and debates with other mathematical legends.
O'Connor, J. “Eudoxus of Cnidus.” 20 February 2002.
www.3villagecsd.k12.ny.us /wmhs/Departments/Math/OBrien/eudoxus.html   (560 words)

  
 cyzicus: The Peloponnesian War (431-404 BC)   (Site not responding. Last check: 2007-10-31)
The war between the Peloponnesian League, under the leadership of Sparta, and the Delian League, under Athens, witnessed a major sea power combating a major land power.
Saint Index profile of Saint Tryphaena of Cyzicus.
tortured and gored to death by a bull at Cyzicus (in modern Turkey) Canonized.
www.newkidhomevideo.com /cyzicus.html   (267 words)

  
 Mathy » Archive du blog » Spice: The history of a temptation - 1
His readers were the long-distance traders and trampers who serviced the ports and markets in what he calls the Erythaean Sea, by which he meant the huge expanse of water emcompassing both the Red Sea and the Persian Gulf and Indian Ocean beyond.
According toe the geogrpaher Strabo, the first European to attempt to establish serious commencial contacts with India was a certain Eudoxus of Cyzicus, an etrapreneurial Greek who mae the acquaintance of an Indian shipwrecked somewhere on the shores of the Red Sea.
Around 120 BC Eudoxus was in Alexandriawhen the regine;s coast guards brought a half-dead Indian sailor to the court of Ptolemy Euergetes II.
mathy.kandasamy.net /blog/2006/04/21   (864 words)

  
 Eudoxus sddd.org   (Site not responding. Last check: 2007-10-31)
Eudoxus was the name of two ancient Greece :
See Eric (name) for origin and meaning of the name.
You may redistribute it,verbatim or modified, providing that you comply with the terms of the GFDL.
eudoxus.en.sddd.org   (91 words)

  
 Eudoxus was the name of two ancient Greeks ancient Greeks...   (Site not responding. Last check: 2007-10-31)
Eudoxus was the name of two ancient Greeks ancient Greeks...
A copy of the license is included in the section entitled
From Eudoxus to Einstein: A History of Mathematical Astronomy
www.biodatabase.de /Eudoxus   (79 words)

  
 Eudoxus
Other topics that it is probable that he learnt about from
There is some evidence to suggest that Eudoxus had little respect for
Paul Tannery tried to reconstruct Eudoxus's proof from very little evidence, so it must remain no more than a guess.
math.5u.com /Eudoxus.htm   (2047 words)

  
 AllRefer.com - Eudoxus of Cyzicus (Ancient History, Egypt, Biography) - Encyclopedia
AllRefer.com - Eudoxus of Cyzicus (Ancient History, Egypt, Biography) - Encyclopedia
You are here : AllRefer.com > Reference > Encyclopedia > Ancient History, Egypt, Biographies > Eudoxus of Cyzicus
More articles from AllRefer Reference on Eudoxus of Cyzicus
reference.allrefer.com /encyclopedia/E/EudoxusCy.html   (177 words)

  
 Travels in America and Italy by viscount de Chateaubriand, Volume 1 : a machine-readable transcription.
Eudoxus, the fellow-traveller of the philosopher, composed a universal itinerary, in which he combined geography with astronomical observations.
Eudoxus of Cyzicus endeavoured, during the reigns of Ptolemy Physcon and Ptolemy Lathures, to make the tour of Africa by the west; he also sought a more direct route from the ports of the Arabian Gulph to those of India.
Eudoxus of Gnidus transformed it into a globe about thirteen thousand stadia in diameter; Hipparchus and Strabo gave to it a circumference of two hundred and fifty-two thousand stadia, of eight hundred and thirty-three stadia to a degree.
lcweb2.loc.gov /gc/lhbtn/2472a/2472a.sgm   (18591 words)

  
 [No title]
By the first quarter of the second century B.C. the secret of the monsoon route to India from Africa had been discovered.
The Greek navigator Eudoxus of Cyzicus, in the last two decades of the second century B.C., twice sailed to India from Egypt's Red Sea ports, probably utilizing the hitherto closely held Arab Knowledge of the monsoons seasons that facilitated such voyages.
Berkeley, Calif., 1968 Thiel, J. Eudoxus of Cyzicus: A Chapter in the History of the Sea Route to India and the Route round the Cape in Ancestor Times.
muweb.millersville.edu /~columbus/data/art/WASHBR12.ART   (2123 words)

  
 proto saharan religions
The identification of the Fish, with Maa and Manu, suggest that while the Fish or Poseidon was the inventor of boats, Maa or Manu built dams that controlled the water levels in areas settled by the Proto-Saharans where they cultivated their crops.
It is interesting to note that when Eudoxus of Cyzicus visited the coastal regions of Kush, Strabo reports that he called this area Posidonius.
This is interesting because the ancient people of Abyssinia and Somalia, were said to be Icthyophagi, who worshipped the god Poseidon.
www.ipoaa.com /proto_saharan_religions.htm   (2973 words)

  
 Eudoxus of Cyzicus - HighBeam Encyclopedia   (Site not responding. Last check: 2007-10-31)
He undertook a second voyage down the west coast of Africa and was never heard from again.
Find newspaper and magazine articles plus images and maps related to "Eudoxus of Cyzicus" at HighBeam.
More information is at your fingertips at HighBeam Research:
www.encyclopedia.com /doc/1E1-eudoxusc1y.html   (142 words)

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