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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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The Project Gutenberg EBook Of Kepler By Walter W. Bryant
eudoxus of cnidus, endeavouring to account for the fact that the planets, duringevery apparent revolution round the earth, come to rest twice,
http://www.gutenberg.org/dirs/1/2/4/0/12406/12406-h/12406-h.htm

Extractions: The Project Gutenberg EBook of Kepler, by Walter W. Bryant This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.net Title: Kepler Author: Walter W. Bryant Release Date: May 21, 2004 [EBook #12406] Language: English Character set encoding: ISO-8859-1 *** START OF THIS PROJECT GUTENBERG EBOOK KEPLER *** Produced by Clare Boothby, Ben Beasley and PG Distributed Proofreaders Kepler Pioneers of Progress Men of Science Edited by S. Chapman, M.A., D.Sc., F.R.S. Kepler by of the Royal Observatory, Greenwich Astronomy Before Kepler Early Life of Kepler Tycho Brahe Kepler Joins Tycho ... Glossary Aristarchus of Samos seems to have been the first to suggest that the planets revolved not about the earth but about the sun, but the idea seemed so improbable that it was hardly noticed, especially as Aristarchus himself did not expand it into a treatise. Footnote 1: See Glossary for this and other technical terms.
Eudoxus
Encyclopedia Kidinnueudoxus of cnidus (Greek d) (410 or 408 BC 355 or 347 BC) was a Greekastronomer, mathematician, physician, scholar and friend of Plato.
http://turnbull.mcs.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.
History Of Astronomy: Persons (E)
eudoxus of cnidus (c. 400 BC c. 347 BC). Short biography and references (MacTutorHist. Math.) Short biography (Eric Weisstein s Treasure Trove)
http://www.astro.uni-bonn.de/~pbrosche/persons/pers_e.html
MSN Encarta - Eudoxus
Eudoxus (408355 bc), Greek astronomer and mathematician, who made importantcontributions to the field of geometry and who proposed eudoxus of cnidus
http://uk.encarta.msn.com/encyclopedia_761578987/Eudoxus.html

Extractions: Subscription Article MSN Encarta Premium: Get this article, plus 35,000 other articles, an interactive atlas, dictionaries, thesaurus, study centre, and more for Â£19.99/year. Learn more. The article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Eudoxus Eudoxus bc ), Greek astronomer and mathematician, who made important contributions to the field of geometry and who proposed the first... Related Items Astronomy Euclid (mathematician) 3 items Selected Web Links Eudoxus of Cnidus 1 item Want more Encarta? Become a subscriber today and gain access to: Find more about Eudoxus from Related Items Other Features from Encarta Astronomy Mathematics Search Encarta for Eudoxus Â© 2005 Microsoft MSN Privacy Advertise Help
Eudoxus, Of Cnidus
eudoxus, of cnidus (c. 400c. 347 BC). Greek mathematician and astronomer.He devised the first system to account for the motions of celestial bodies,
http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/E/Eudoxus/1.html

Extractions: Eudoxus, of Cnidus (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.
MSN Encarta - Eudoxus (of Cnidus)
eudoxus (of cnidus) (408355 bc), Greek astronomer and mathematician, who madeimportant contributions to the Find more about eudoxus (of cnidus) from
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Extractions: Subscription Article MSN Encarta Premium: Get this article, plus 60,000 other articles, an interactive atlas, dictionaries, thesaurus, articles from 100 leading magazines, homework tools, daily math help and more for $4.95/month or $29.95/year (plus applicable taxes.) Learn more. This article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Eudoxus (of Cnidus) Eudoxus (of Cnidus) bc ), Greek astronomer and mathematician, who made important contributions to the field of geometry and who proposed the... Related Items Important Explorations (table) astronomical observations 4 items Selected Web Links Eudoxus of Cnidus [MacTutor] 1 item Want more Encarta? Become a subscriber today and gain access to: Find more about Eudoxus (of Cnidus) from Related Items Other Features from Encarta Astronomy, History of
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Searched Encarta for eudoxus (of cnidus) . Articles eudoxus (of cnidus)*.eudoxus (of cnidus) (408355 bc), Greek astronomer and mathematician,
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Extractions: fdbkURL="/encnet/refpages/search.aspx?q=Eudoxus+(of+Cnidus)#bottom"; errmsg1="Please select a rating."; errmsg2="Please select a reason for your rating."; Web Search: Encarta Home ... Upgrade your Encarta Experience Search Encarta Exclusively for MSN Encarta Premium Subscribers. Join Now Searched Encarta for ' Eudoxus (of Cnidus)' Articles Eudoxus (of Cnidus) Eudoxus (of Cnidus) bc ... , city of Caria, an ancient country in Asia Minor, located on the Aegean Sea, in what is now southwestern Turkey. The city was built partly on... See all search results in Articles (8) Results from MSN Search More MSN Search results on "Eudoxus (of Cnidus)"
Eudoxus
eudoxus was born in 408 BC in cnidus. He was a Greek geometer and astronomer.eudoxus studied at Plato s Academy and was a student of Archytas of Tarentum.
http://www.angelfire.com/ca5/ancientgreecescience/eudoxus

Extractions: Eudoxus was born in 408 B.C. in Cnidus. He was a Greek geometer and astronomer. Eudoxus studied at Plato's Academy and was a student of Archytas of Tarentum. He spent over a year in Egypt and then, on his return, established a school that competed with Plato. There is ample evidence to suggest that Eudoxus had little respect for Plato's analytic ability. Eudoxus proposed a heliocentric system for the solar system; a very important contribution. Other important contributions were to the theory of proportion, where he made a definition of equal ratios similar to cross multiplying, and early work on integration with the theory of exhaustion. Eudoxus also devised a theory of planets carried on glassy spheres that were nested around the Earth in mountings like compass gimbals: rotations on these explained observed motions. The kampyle curve was studied by Eudoxus also in relation to the classical problem of duplication of the cube. Eudoxus found formulas for measuring pyramids cones and cylinders. Books V and XII of Euclid's Elements are attributed to Eudoxus by some experts. In 355 B.C. Eudoxus died in Cnidus.
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Science, Civilization And Society
eudoxus, the son of Aeschines, was born in the Greek city of cnidus in today sTurkey. cnidus had a well known science school, and eudoxus got an excellent
http://www.es.flinders.edu.au/~mattom/science society/lectures/illustrations/lec
History Of Ancient World Mathematics Page
eudoxus was born in cnidus where he spent his youth in poverty like many of hisfellow mathematicians. It is said that eudoxus inherited the mess that Zeno
http://www.roma.unisa.edu.au/07305/ancmm.htm

Extractions: Thales' major mathematical contribution is believed to be the theory of a triangle inscribed within a semi-circle being right angled at the corner touching the arc if one side is the diameter of the circle. It is believed that while transporting salt which was loaded on mules, one of the animals slipped in a stream. The mule's load of salt was slightly dissolved by the water and it's load became lightened. This mule being smart at ways to get out of work rolled over at the next ford it came to and found it's load lighter again. Whether these mules were Thales or not is unclear bu the was consulted and came up with a plan to break the mule of this bad habit. The mule was loaded with sponges and rags, which when the mule rolled over, absorbed the water and made the load heavier. This eventually cured the mule of it's troublesome habit. In the ancient world of the mediterranean Olive Oil was an important commodity, as important as wheat or sugar is in todays. The Olive crop was a bumper havest one year and fearing that supply would outgrow demand for the coming Olive Oil production Thales quietly bought all the Olive presses he could afford to (no small task considering he was a very wealthy merchant by this time). Thus Thales controlled most of the Olive Oil production and 'cornered the market' of Olive Oil, a man much before his time Thales therefore became the first recorded man at about 600 BC to create a monopoly.
Eudoxus
eudoxus studied with Archytas, a follower of Pythagoras. He returned to hisnative cnidus, and was acclaimed by the people of who put him into an
http://www.stetson.edu/~efriedma/periodictable/html/Xe.html

Extractions: BC BC Eudoxus studied with Archytas, a follower of Pythagoras. He learned about geometry, number theory and the theory of music. Eudoxus visited Sicily, where he studied medicine with Philiston, and Athens where he attended lectures on philosophy by Plato. He then spent over a year in Egypt where he studied astronomy with the priests at Heliopolis. At this time Eudoxus made astronomical observations. From Egypt, Eudoxus travelled to Cyzicus. There he established a School which proved very popular and he had many followers. He returned to his native Cnidus, and was acclaimed by the people of who put him into an important role in the legislature. However he continued his scholarly work, writing books and lecturing on theology, astronomy and meteorology. He had built an observatory on Cnidus and we know that from there he observed the star Canopus. The observations made at his observatory in Cnidus, as well as those made at the observatory near Heliopolis, formed the basis of two books referred to by Hipparchus. 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. The theory developed by Eudoxus is set out in Euclid's
Eudoxus_of_Cnidus
eudoxus invented the method of exhaustion, which was used in a masterly way by The work of eudoxus and Archimedes as precursors of calculus was only
http://copernicus.subdomain.de/Eudoxus_of_Cnidus

Extractions: 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
PUZZLE
http://members.fortunecity.com/jonhays/spuzzle.htm

Extractions: Sans solution à ce puzzle, nous vivrions dans les villages médiévaux; avec le technologie plus primitif que celui des Amish de la Pennsylvanie; l'esclavage et l'semi-esclavage seraient répandus; des femmes et les filles seraient réprimées, souvent maltraité, superstitution répandu. Quel était le puzzle? Le PUZZLE de PORTECARRÉ a semblé indiquer, "Vous pouvez vous appliquer l'cArithmétique aux CÔTÉS DE LA PLACE, mais vous ne pouvez pas vous appliquer l'Arithmétique à sa DIAGONALE. Ainsi seulement la GÉOMÉTRIE décrit LE SQUAREGATE." La limite, grandeur, a été créée par le grand mathématicien grec, Eudoxus de Cnidus (c. 408-355 B.c.), une pupille d'Archytas de Tarentum (c. 425-350 B.c.), un palpeur de Pythagoras. En tant que professeur dans l'académie de Platon (427-327 B.c.), Eudoxus s'est appliqué la notion de la grandeur à la composition des lignes, les angles, volumes dans la géométrie et également au temps . Cette restriction de temps à la géométrie a mené à la notion que "le mouvement est la géométrie réglée au temps". Par conséquent, la croyance quatre s'est développée dans l'académie: la diagonale de la place (dans la géométrie) n'est pas une grandeur descriptible par le nombre (dans l'arithmétique);

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