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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 Of Cnidus - Encyclopedia Article About Eudoxus Of Cnidus. Free Access, N
Eudoxus encyclopedia article about Eudoxus. Free access, no Greek Church Fathers of early .. Click the link for more information. eudoxus of cnidus eudoxus of cnidus (Greek E?d?s
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Extractions: Dictionaries: General Computing Medical Legal Encyclopedia Word: Word Starts with Ends with Definition Another article treats of Eudoxus of Cyzicus Another article treats of Eudoxus of Cnidus. Eudoxus of Cyzicus Eudoxus made a successful voyage to India and returned with a cargo of perfumes and gemstones, which were immediately confiscated by Ptolemy on his return. Eight years later, after Ptolemy'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. Click the link for more information. Eudoxus of Cnidus Knidos or Cnidus (modern-day Tekir in Turkey) is an ancient Greek city in Asia Minor, once part of the country of Caria. It is situated at the extremity of the long peninsula that forms the southern side of the Sinus Ceramicus or Gulf of Kos. It was built partly on the mainland and partly on the Island of Triopion or Cape Krio, which anciently communicated with the continent by a causeway and bridge, and now by a narrow sandy isthmus. By means of the causeway the channel between island and mainland was formed into two harbours, of which the larger, or southern, was further enclosed by two strongly-built moles that are still in good part entire.
Eudoxus Of Cnidus Definition Meaning Information Explanation
eudoxus of cnidus definition, meaning and explanation and more about Eudoxus ofCnidus. FreeDefinition - Online Glossary and Encyclopedia, eudoxus of cnidus.
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Extractions: Google News about your search term Eudoxus of Cnidus Greek 408 BC - circa 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 planet s. His work on proportions shows tremendous insight into number s. He 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. An algebraic curve (the Kampyle of Eudoxus) is named after him Books about 'Eudoxus of Cnidus' at: amazon.com
Eudoxus Of Cnidus
eudoxus of cnidus (c. 400c. 347 BC). Greek mathematician and astronomer.He devised the first system to account for the motions
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Extractions: (c. 400-c. 347 BC) Greek mathematician and astronomer. He devised the first system to account for the motions of celestial bodies, believing them to be carried around the Earth on sets of spheres. Work attributed to Eudoxus includes methods to calculate the area of a circle and to derive the volume of a pyramid or a cone. The model of planetary motion was published in a book called On Rates. Further astronomical observations were included in two other works, The Mirror and Phaenomena, providing the basis of the constellation system still in use today. In a series of geographical books with the overall title of A Tour of the Earth, Eudoxus described the political, historical, and religious customs of the countries of the E Mediterranean. Site Map Category Main Page About Us
Eudoxus Of Cnidus - InformationBlast
eudoxus of cnidus Information Blast. eudoxus of cnidus. Another articletreats of Eudoxus of Cyzicus. eudoxus of cnidus (Greek E?d?s
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Extractions: Another article treats of Eudoxus of Cyzicus Eudoxus of Cnidus Greek 408 BC - circa 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 . He 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. An algebraic curve (the Kampyle of Eudoxus) is named after him Wikipedia is available under the terms of the GNU Free Documentation License
AllRefer Encyclopedia - Eudoxus Of Cnidus (Astronomy, Biographies) - Encyclopedi
AllRefer.com reference and encyclopedia resource provides complete information oneudoxus of cnidus, Astronomy, Biographies. Includes related research links.
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Extractions: By Alphabet : Encyclopedia A-Z E Related Category: Astronomy, Biographies Eudoxus of Cnidus [y OO u s, n I u s] Pronunciation Key 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.
Eudoxus Of Cnidus
eudoxus of cnidus, yOOdok sus, nI dus Pronunciation Key. eudoxus of cnidus, 408?355? BC, Greek astronomer, mathematician, and physician.
http://www.factmonster.com/ce6/people/A0817824.html

Extractions: Eudoxus of Cnidus [y OO u s, n I u s] Pronunciation Key Eudoxus of Cnidus 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. The Columbia Electronic Encyclopedia,
Eudoxus Of Cnidus
eudoxus of cnidus ca. 408 ~ 355 BCE. For more about Eudoxus and links to other sitesvisit St. Andrews University s eudoxus of cnidus Back to Mth.15 Home Page.
http://math.furman.edu/~jpoole/mth15hp/eudoxus/eudoxus.htm
Eudoxus Of Cnidus - Wikipedia, The Free Encyclopedia
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Learn More About Eudoxus Of Cnidus In The Online Encyclopedia.
Visit the Online Encyclopedia and learn more and get your questions answeredabout eudoxus of cnidus. see previous page. eudoxus of cnidus.
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Extractions: see previous page Eudoxus of Cnidus Greek 408 BC - circa 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 . He 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.
Eudoxus Systems - Biography Of Eudoxus
eudoxus of cnidus. eudoxus of cnidus (c.408 c.355 BC) was one of the greatestGreek mathematicians. He was also an astronomer, philosopher and legislator.
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Extractions: Home Search About us Eudoxus Tools We Use What is Optimization? MP in Action Lecture Notes ... Site Map Eudoxus of Cnidus Eudoxus of Cnidus (c.408 - c.355 BC) was one of the greatest Greek mathematicians. He was also an astronomer, philosopher and legislator. His main contributions to mathematics were: He may also have been responsible for the development of the axiomatic method, the foundation of modern mathematics. His work in astronomy has stood the test of time less well. He developed a model of the universe which sought to explain the motions of the sun, the moon and the planets by fixing them to a system of 27 (or according to some authorities, 55) concentric spheres. These rotated on assorted axes at various speeds with the earth at the centre. Even with all this ingenuity he was unable to explain the motions of Venus and Mars nor the variation in brightness of the moon. His scheme was a magnificent attempt to explain observed phenomena, but wrong. More long lasting in its influence was 'the sphere of Eudoxus'. This was an engraved celestial globe which showed the constellations together with their names. Eudoxus did not invent these, but carried them over from an earlier civilisation, most probably the Babylonians of c. 2500 BC. These names have remained in use to this day and are also the names we use as the signs of the Zodiac.
Eudoxus Systems - Optimization Solutions For Industry
We called our company Eudoxus after the Greek mathematician eudoxus of cnidus.We also liked the fact that eudoxos is Greek for of good repute .
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Extractions: Home Search About us Eudoxus Tools We Use What is Optimization? MP in Action ... Site Map About us Eudoxus Systems Ltd is a group of mathematicians who enjoy helping businesses to make better decisions and run their operations more efficiently. We do this by analysing business problems and building mathematical models of them. We then apply mathematical techniques such as optimization to the models and translate the resulting solutions back into the real world. Often we embed our models within operational systems so that they can provide day-to-day assistance to those businesses. Our main technical strength lies in models involving linear programming and its more complex relative, integer programming . These are techniques which we have been using for the past 20 years to tackle planning and scheduling problems around the world. We also believe in promoting their wider use, hence this web site with its examples of applications and its lecture notes to help you learn how to apply the techniques yourself. The main business areas in which we work are the oil industry and paper and packaging. The oil industry reflects our background: at one time or another all our staff have been employed by BP or its software subsidiary, Scicon. Paper and packaging is a more recent interest and reflects the complexity of the problems facing the industry, where planning and scheduling problems are made harder by the complexities of deckling and trim loss optimization.
Eudoxus
Eudoxus. We re here with the ghost of the famous mathematician, eudoxus of cnidus. Allen,Don. eudoxus of cnidus. February 1997. 20 February 2002.
http://www.3villagecsd.k12.ny.us/wmhs/Departments/Math/OBrien/eudoxus.html

Extractions: Eudoxus We're here with the ghost of the famous mathematician, Eudoxus of Cnidus. Responsible for many mathematical feats, he was also a famous astronomer and legislator. Q. When were you born? A. About 400 BC. My father was Aischimes. Q. Where were you born? A. Cnidus, on the Black Sea. It is located in Asia Minor, or current day Turkey. Q. Did you receive any education? A. First I studied under Archytas, a follower of Pythagoras, who influenced my math career. I later studied medicine with Philistium on Sicily. Then when I was twenty-three years old, I went to Plato's academy in Athens where I studied philosophy and rhetoric. I also studied astronomy in Egypt at Helopolis. Q. After receiving your education, what did you do? A. I established a school at Cyzicus, located in northwestern Asia Minor, on the shore of the Marmora Sea. I returned with my pupils to Athens in 365 BC. There, I became a colleague of Plato and a respected legislator. Q. Were you close friends with Plato? A. Actually, he was jealous of how popular my school was. So, as you can imagine, we weren't exactly great friends. Q. When did you die?
Encyclopedia: Eudoxus Of Cnidus
Updated Apr 13, 2004. Encyclopedia eudoxus of cnidus. Another articletreats of Eudoxus of Cyzicus. eudoxus of cnidus (Greek
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Eudoxus Of Cnidus
Article on eudoxus of cnidus from WorldHistory.com, licensed fromWikipedia, the free encyclopedia. Return Index eudoxus of cnidus.
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Extractions: World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Another article treats of Eudoxus of Cyzicus Eudoxus of Cnidus 408 BC - circa 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 number s; it allows rigorous treatment of continuous quantities and not just whole numbers or even rational number s. 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 Newton himself.
Eudoxus Of Cnidus - Wikipedia, The Free Encyclopedia
Not logged in Log in Help. eudoxus of cnidus. Die Texte stammen ausder Wikipedia Dies ist nicht die Wikipedia. slEvdoks. Another
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Extractions: sl:Evdoks Another article treats of Eudoxus of Cyzicus Eudoxus of Cnidus Greek 408 BC - circa 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 Newton himself.
Encyclopedia4U - Eudoxus Of Cnidus - Encyclopedia Article
eudoxus of cnidus. This article is licensed under the GNU Free DocumentationLicense. It uses material from the Wikipedia article eudoxus of cnidus .
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Extractions: ENCYCLOPEDIA U com Lists of articles by category ... SEARCH : Eudoxus of Cnidus Greek Eudoxos) (circa 408 BC - circa 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 . He invented the method of exhaustion , which was used in a masterly by Archimedes . The work of Eudoxus and Archimedes as precursors of calculus was only exceeded in mathematical sophistication and rigour by Newton himself. An algebraic curve (the Kampyle of Eudoxus) is named after him http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Eudoxus.html
Eudoxus- Germantown Academy Mathematical Biographies
eudoxus of cnidus Mitch Please we all don t speakancient Greek here. Eudo Its eudoxus of cnidus, and you are very welcome.
http://www.ga.k12.pa.us/academics/US/Math/Millar/Eudoxus/Beer.htm

Extractions: by Mitchell Beer '00 Mitch of Springfield : Pleasure to speak with you today Eudoxus. Eudoxus of Cnidus Mitch: Please we all don't speak ancient Greek here. Eudoxus: Sorry about that, it is a pleasure to have returned from the grave to speak with you today Mitch. Mitch: Firstly before we start Eudoxus, can I call you Eudo? Eudo : No. Mitch: Well then Eudo, how about we start with you and Cnidus. Eudo: I said you couldn't call me Eudo, but Cnidus is a quaint little town on the Resadiye peninsula in Asia Minor. I was born in 408, not a particularly interesting year. Actually the only reason it is interesting is because I was born then. Died in the same place too in 355. Mitch: How about your daddy. He too had a strange name. Eudo: What do you expect; we were ancient Greeks. He was Aischines. Mitch: A pleasant name as well. Let's now move to your travels and studies throughout your life. Were did you go? What and whom did you know? Eudo: I have been to a plethora of places throughout my philosophical career, most notable being Tarentum and Athens and Sicily, as well as Heliopolis in Egypt. I started with Tarentum, where I studied the mathematics of geometry under the beneficent Archytas, who studied under the great Pythagoras. Archytas's interest in the Duplication of the Cube led me to be interested in it as well. Mitch: Fascinating.
Eudoxus Of Cnidus
Toys Games. Click Here. Encyclopedia. Main Page See live article,eudoxus of cnidus. Another article treats of Eudoxus of Cyzicus.
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Extractions: Front Page Today's Digest Week in Review Email Updates ... Outdoor Living Main Page See live article Another article treats of Eudoxus of Cyzicus Eudoxus of Cnidus Greek 408 BC - circa 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
Eudoxus Of Cnidus (ca. 400-ca. 347 BC) -- From Eric Weisstein's World Of Scienti
eudoxus of cnidus (408355
http://www.astro.virginia.edu/~eww6n/bios/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.
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Results per Page 10. 1. eudoxus of cnidus (408355 BC) The HutchinsonDictionary of Scientific Biography; January 1, 1998
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