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Eudoxus Of Cnidus: more detail

Celestial Spheres: Dynamics of the celestial spheres, Plato, Eudoxus of Cnidus, Aristotle, Ptolemy, Nicolaus Copernicus, Moon, Mercury (planet), Venus, ... Saturn, Axial precession (astronomy)
Eudoxus of Cnidus: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001
Proportionality Mathematics: Proportionality Mathematics, Mathematics, Quantity, Mathematical Constant, Multiple, Ratio, Proportionality, Correlation and Dependence, Eudoxus of Cnidus
Callipus: An entry from Gale's <i>Science and Its Times</i> by Stephen D. Norton, 2001
The Republic (Optimized for Kindle) by Plato, 2008-03-12
Two Studies in the Early Academy by R. M. Dancy, 1991-08-06

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Eudoxus
eudoxus of cnidus was the son of Aischines. As to his teachers, Eudoxus returnedto his native Cnidus and there was acclaimed by the people who put him
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Eudoxus.html

Extractions: Version for printing Eudoxus of Cnidus was the son of Aischines. As to his teachers, we know that he travelled to Tarentum, now in Italy, where he studied with Archytas who was a follower of Pythagoras . The problem of duplicating the cube was one which interested Archytas and it would be reasonable to suppose that Eudoxus's interest in that problem was stimulated by his teacher. Other topics that it is probable that he learnt about from Archytas include number theory and the theory of music. Eudoxus also visited Sicily, where he studied medicine with Philiston, before making his first visit to Athens in the company of the physician Theomedon. 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.
Eudoxus Of Cnidus
Search Biographies. Bio search tips Encyclopedia. eudoxus of cnidus yOOdok'sus, ni'dus Pronunciation Key. eudoxus of cnidus , 408?355?
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Infinity
There Euclid explains the method of exhaustion due to eudoxus of cnidus. Often nowthis method is thought of as considering the circle as the limit of
http://www-groups.dcs.st-and.ac.uk/~history/PrintHT/Infinity.html

Extractions: An article on infinity in a History of Mathematics Archive presents special problems. Does one concentrate purely on the mathematical aspects of the topic or does one consider the philosophical and even religious aspects? In this article we take the view that historically one cannot separate the philosophical and religious aspects from mathematical ones since they play an important role in how ideas developed. This is particularly true in ancient Greek times, as Knorr writes in [26]:- The interaction of philosophy and mathematics is seldom revealed so clearly as in the study of the infinite among the ancient Greeks. The dialectical puzzles of the fifth-century Eleatics, sharpened by Plato and Aristotle in the fourth century, are complemented by the invention of precise methods of limits, as applied by Eudoxus in the fourth century and Euclid and Archimedes in the third. Of course from the time people began to think about the world they lived in, questions about infinity arose. There were questions about time. Did the world come into existence at a particular instant or had it always existed? Would the world go on for ever or was there a finite end? Then there were questions about space. What happened if one kept travelling in a particular direction? Would one reach the end of the world or could one travel for ever? Again above the earth one could see stars, planets, the sun and moon, but was this space finite or do it go on for ever? The questions above are very fundamental and must have troubled thinkers long before recorded history. There were more subtle questions about infinity which were also asked at a stage when people began to think deeply about the world. What happened if one cut a piece of wood into two pieces, then again cut one of the pieces into two and continued to do this. Could one do this for ever?
TMTh EUDOXUS OF CNIDUS
MATHEMATICIAN eudoxus of cnidus (fl. 408355 BC)
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Eudoxus Of Cnidus
eudoxus of cnidus. Eudoxus (c. 400 BC) is the greatest of the ancient mathematicians,surpassed only by Archimedes but later. Biographical highlights
http://www.math.tamu.edu/~don.allen/history/eudoxus/eudoxus.html

Extractions: Eudoxus of Cnidus Eudoxus (c. 400 B.C.) is the greatest of the ancient mathematicians, surpassed only by Archimedes but later. Biographical highlights: Eudoxus was the most reknown astronomer and mathematician of his day. In astronomy devised an ingenious planetary system based on spheres. The spherical earth is at rest at the center. Around this center, 27 concentric spheres rotate. The exterior one caries the fixed stars, The others account for the sun, moon, and five planets.
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
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Eudoxus Of Cnidus (ca. 400-ca. 347 BC) -- From Eric Weisstein's World Of Scienti
eudoxus of cnidus (ca. 400ca. 347 BC) Eudoxus was the first Greek to makea map of the stars. Eudoxus also excelled as a mathematician.
http://scienceworld.wolfram.com/biography/Eudoxus.html

Extractions: Greek philosopher, astronomer, and mathematician who accepted Plato's notion of the rotation of the planets around the Earth on crystalline spheres, but noticed discrepancies with observations. He tried to adjust Plato's model by postulating that each crystalline sphere had its poles set to the next sphere. His model contained no mechanical explanation; it was simply a mathematical description. There were problems, however, with his model. First of all, each "hippopede" produced by the superposition of the motions of two spheres produced the same curve, yet the retrogressions of planets were observed to exhibit differing shapes. Secondly, although his models predicted tolerable retrogressions for Jupiter and Saturn and not for Mars or Venus Thirdly, his model in no way accounted for the observed differences in the lengths of the seasons Finally, the model failed to account for variations in the observed diameter of the Moon or changes in the brightness of planets, which were correctly interpreted to indicate that their distances were changing. Eudoxus was the first Greek to make a map of the stars.
Eudoxus Of Cnidus Encyclop Dia Britannica
eudoxus of cnidus Greek mathematician and astronomer who substantially advanced proportion theory, contributed to the identification of
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Eudoxus
eudoxus of cnidus
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Eudoxus Of Cnidus -- Encyclopædia Britannica
eudoxus of cnidus Greek mathematician and astronomer who substantially advancedproportion theory, contributed to the identification of constellations and
http://www.britannica.com/eb/article?tocId=9033194
Eudoxus Systems - Biography Of Eudoxus
biography of eudoxus of cnidus, ancient greek mathematician and astronomer
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Life (from Eudoxus Of Cnidus) -- Encyclopædia Britannica
Life (from eudoxus of cnidus) According to the 3rd century AD; historian DiogenesLaërtius (the source for most biographical details), Eudoxus studied
http://www.britannica.com/eb/article-2180

Extractions: Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Introduction Life Mathematician Astronomer Assessment Additional Reading ... Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Eudoxus of Cnidus Encyclopædia Britannica Article Page 2 of 6 Life According to the 3rd century AD historian (the source for most biographical details), Eudoxus studied mathematics with Archytas of Tarentum and medicine with Philistion of Locri. At the age of 23 he attended lectures in Athens , possibly at Plato's Academy (opened c. 387 BC
Eudoxus (c. 400 B.C.) Is The Greatest Of The Ancient
eudoxus of cnidus Eudoxus (c. 400 B.C.) is the greatest of the ancient mathematicians, surpassed only by Archimedes but later.
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Eudoxus Of Cnidus - Wikipedia, The Free Encyclopedia
Another article treats of Eudoxus of Cyzicus. eudoxus of cnidus (Greek Eudoxus invented the method of exhaustion, which was used in a masterly way by
http://en.wikipedia.org/wiki/Eudoxus_of_Cnidus

Extractions: Over US$150,000 has been donated since the drive began on 19 August. Thank you for your generosity! Eudoxus of Cnidus Greek or 408 BC or 347 BC ) was a Greek astronomer mathematician physician , scholar and friend of Plato . Since all his own works are lost, our knowledge of him is obtained from secondary sources, such as Aratus 's poem on astronomy He was a pupil in mathematics of Archytas in Athens . In mathematical astronomy his fame is due to the introduction of the astronomical globe , and his early contributions to understanding the movement of the planets His work on proportions shows tremendous insight into numbers ; it allows rigorous treatment of continuous quantities and not just whole numbers or even rational numbers . When it was revived by Tartaglia and others in the , it became the basis for quantitative work in science for a century, until it was replaced by the algebraic methods of Descartes 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 Indian Mathematician Bhaskara and later by Newton An algebraic curve (the Kampyle of Eudoxus) is named after him Also
Eudoxus Of Cnidus - Wikipedia, The Free Encyclopedia
eudoxus of cnidus
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Eudoxus Of Cnidus - Wikipedia, The Free Encyclopedia
eudoxus of cniduseudoxus of cnidus (d ? ?d?), (408355 BC) son of Aeschines, Greekmathematician, astronomer, geographer and philosopher, whose genius was apparent
http://en.wikipedia.org/wiki/Eudoxus of Cnidus

Extractions: Over US$150,000 has been donated since the drive began on 19 August. Thank you for your generosity! Eudoxus of Cnidus Greek or 408 BC or 347 BC ) was a Greek astronomer mathematician physician , scholar and friend of Plato . Since all his own works are lost, our knowledge of him is obtained from secondary sources, such as Aratus 's poem on astronomy He was a pupil in mathematics of Archytas in Athens . In mathematical astronomy his fame is due to the introduction of the astronomical globe , and his early contributions to understanding the movement of the planets His work on proportions shows tremendous insight into numbers ; it allows rigorous treatment of continuous quantities and not just whole numbers or even rational numbers . When it was revived by Tartaglia and others in the , it became the basis for quantitative work in science for a century, until it was replaced by the algebraic methods of Descartes 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 Indian Mathematician Bhaskara and later by Newton An algebraic curve (the Kampyle of Eudoxus) is named after him Also
Eudoxus Of Cnidus. The Columbia Encyclopedia, Sixth Edition. 2001
eudoxus of cnidus. The Columbia Encyclopedia, Sixth Edition. 2001
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Eudoxus Of Cnidus -- Facts, Info, And Encyclopedia Article
eudoxus of cnidus. Categories Ancient mathematicians, Greek and Roman Eudoxus of (Click link for more info and facts about Cnidus) Cnidus ( (A native
http://www.absoluteastronomy.com/encyclopedia/e/eu/eudoxus_of_cnidus.htm

Extractions: Eudoxus of (Click link for more info and facts about Cnidus) Cnidus (A native or inhabitant of Greece) Greek (Click link for more info and facts about 410) or 408 BC - (Click link for more info and facts about 355) or 347 BC) was a (A native or inhabitant of Greece) Greek (A physicist who studies astronomy) astronomer (A person skilled in mathematics) mathematician (A licensed medical practitioner) physician , scholar and friend of (Ancient Athenian philosopher; pupil of Socrates; teacher of Aristotle (428-347 BC)) Plato . Since all his own works are lost, our knowledge of him is obtained from secondary sources, such as (Click link for more info and facts about Aratus) Aratus 's poem on (The branch of physics that studies celestial bodies and the universe as a whole) astronomy
Eudoxus Of Cyzicus -- Facts, Info, And Encyclopedia Article
Another article treats of (Click link for more info and facts about Eudoxus ofCnidus) eudoxus of cnidus. Eudoxus of (Click link for more info and facts
http://www.absoluteastronomy.com/encyclopedia/e/eu/eudoxus_of_cyzicus.htm

Extractions: Eudoxus of (Click link for more info and facts about Cyzicus) Cyzicus (A native or inhabitant of Greece) Greek (In earlier times, a person who explored by ship) navigator who explored the (A northwestern arm of the Indian Ocean between India and Arabia) Arabian Sea for (The title of the ancient Egyptian kings) Pharaoh (Click link for more info and facts about Ptolemy VIII) Ptolemy VIII of (A republic in northeastern Africa known as the United Arab Republic until 1971; site of an ancient civilization that flourished from 2600 to 30 BC) Egypt Eudoxus is reported (by (Click link for more info and facts about Strabo) Strabo Geog. ) to have made a successful voyage to (A republic in the Asian subcontinent in southern Asia; second most populous country in the world; achieved independence from the United Kingdom in 1947) India and returned with a cargo of (A toiletry that emits and diffuses a fragrant odor) perfume s and (A crystalline rock that can be cut and polished for jewelry) gemstone s, which were immediately confiscated by Ptolemy on his return. Eight years later, after
Eudoxus Of Cnidus: Information From Answers.com
eudoxus of cnidus ( yudok s?s, ni d?s ) , 408?355? BC , Greek astronomer,mathematician, and physician.
http://www.answers.com/topic/eudoxus-of-cnidus

Extractions: showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Eudoxus of Cnidus Encyclopedia Eudoxus of Cnidus yÅ«dÅk sÉs, nÄ« dÉs B.C. , Greek astronomer, mathematician, and physician. 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. He was the first Greek astronomer to explain the movements of the planets in a scientific manner. His system involved a number of concentric spheres supporting the planets in their paths. Some scientists still held this belief at the time of Copernicus. Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css);

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