81. Eudoxus Egypt, eudoxus travelled to Cyzicus. There he established a School which provedvery popular and he had many followers. He returned to his native cnidus, and http://www.stetson.edu/~efriedma/periodictable/html/Xe.html

Eudoxus 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

82. Eudoxus eudoxus ging weer naar cnidus waar hij ontzettend populair was enzich bezig hield met de wetgeving. eudoxus overleed in 355 BC http://anw.hml.nl/Werkstukken/Marlene_Tjoeng/eudoxus/

Eudoxus Marlene Tjoeng 4H1 mei 2001 Eudoxus en Plato waren tijdgenoten en Plato was al heel populair, maar dat werd ingehaald door Eudoxus die een eigen school had die meer succesvol was dan die van hem en zijn analethische bevoegdheid was ook veel verder dan die van Plato. Dit wekte alleen maar tot jaloezie voor Plato en hij was ook niet echt blij voor Eudoxus met zijn nieuwe populaire school. Er is wel een bewijs dat Eudoxus toch respect had voor Plato’s theorie. Het werk van Eudoxus De werken van Eudoxus kun je allemaal vinden in het boek Euclid’s Elementen. Eudoxus had de theorie uitgevonden van het kruiselings vermenigvuldigen, de verhoudingstheorie . Dit kun je vinden in Boek V. Een ander werk van Eudoxus is de vroege ontdekking van de luchtledigheidsmethode . Hij zei dat de volume van een piramide dezelfde volume heeft als een 1/3 prisma die dezelfde basis en een gelijke hoogte heeft. En de volume van een kegel heeft dezelfde volume als een 1/3 cilinder met dezelfde basis en een gelijke hoogte. Weer een ander werk van hem is de methode van volledigheid . Deze methode kwam voort door de verhoudingstheorie. Je kunt het vinden in Boek X. Het homocentrische sfeersysteem is ook een van zijn beste ontdekkingen. Hiermee wordt bedoelt dat er sferen roteren om de as van de aarde. Dit is al eerder ontdekt door Plato, maar Eudoxus zag dat dat wat fout was en verbeterde Plato’s model. Plato had namelijk geen polen bij de sferen gezet.

83. Eudoxus Cnidus eudoxus cnidus. eudoxus cnidus (Rek E upsilon delta omicron xi omicron sigma) (circa 408 BC circa 347 BC) byl Rek http://wikipedia.infostar.cz/e/eu/eudoxus_of_cnidus.html

švodn­ str¡nka Tato str¡nka v origin¡le Eudoxus Cnidus Eudoxus Cnidus Řek 408 BC - circa 347 BC ) byl Řek astronom matematik l©kař , učenec a př­tel Plato . Od vÅ¡ech jeho vlastn­ pr¡ce jsou ztraceny, naÅ¡e znalost něj je z­sk¡na od druhotn½ch zdrojů, takov½ jak Aratus ' s b¡seň na astronomie On byl ž¡k v matematika Archytas v Athens . V matematick© astronomii jeho sl¡va je oček¡van¡ k ºvodu astronomick½ globus , a jeho časn© př­spěvky k pochopen­ hnut­ planety Jeho pr¡ce na proporc­ch ukazuje hrozn© nahl©dnut­ do č­sla . On vynalezl metodu vyčerp¡n­, kter½ byl použ­v¡n v mistrovsky cesta Archimedes . Pr¡ce Eudoxus a Archimedes jako předchůdcov© počet byl jen překon¡n v matematick½ sophistication a př­snost Newton s¡m. An algebraick¡ křivka (Kampyle Eudoxus) je pojmenoval podle něj x = b (x + y VnějÅ¡­ spojen­ http: / / www-skupiny. dcs. st-a. ac. uk / ~ historie / matematici / Eudoxus. html Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia . Cel½ text je dostupn½ za podm­nek GNU FDL licence

84. Eudoxus eudoxus lived in cnidus (Turkey) and traveled to Athens to meet Plato. He also wentto Egypt to make astronomical observations and learn the latest astronomy. http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Eudoxus (408335 B.C Eudoxus lived in Cnidus (Turkey) and traveled to Athens to meet Plato. He also went to Egypt to make astronomical observations and learn the latest astronomy. He established a school and taught his students mathematics, astronomy, and philosophy. He developed the theory of proportion and contributed to Book V of Euclid's Elements . He used the method of exhaustion to develop results in integration and finding areas. He developed proofs for the formulas to calculate the volumes of cones and prisms.

85. Science, Civilization And Society cnidus in today s Turkey. cnidus had a well known science school, andEudoxus got an excellent education in mathematics and medicine. http://www.es.flinders.edu.au/~mattom/science society/lectures/illustrations/lec

86. Eudoxus eudoxus was born in 408 BC in cnidus. He was a Greek geometer andastronomer. eudoxus experts. In 355 BC eudoxus died in cnidus. http://www.angelfire.com/ca5/ancientgreecescience/eudoxus

Eudoxus Scientists Home Page Anaxagoras Archimedes Aristarchus ... Pythagoras 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.

87. Eudoxus Of Cyzicus eudoxus of Cyzicus, yOOdok sus, siz ikus Pronunciation Key. eudoxus of Cyzicus, fl. Related content from HighBeam Research on eudoxus of Cyzicus. http://www.infoplease.com/ce6/people/A0817825.html

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Eudoxus of Cyzicus [y OO u u s] Pronunciation Key Eudoxus of Cyzicus , fl. 130 B.C. The Columbia Electronic Encyclopedia, Eudoxus of Cnidus Related content from HighBeam Research on: Eudoxus of Cyzicus Philosophy of Aristotle: The Ethics: Books 6 and 7 (Monarch Notes) Philosophy of Aristotle: Philosophy Is A Way Of Life (Monarch Notes) Search HighBeam Research for: About Contact Link to Infoplease Privacy Related sites:

88. Eudoxus eudoxus of Cnidos. It is said that eudoxus invented a curve called the hippopede( horsefetter ), which resembles the present-day symbol for infinity. http://www.math.sfu.ca/histmath/Europe/Euclid300BC/EUDOXUS.HTML

Eudoxus of Cnidos 408 - 355 B.C.E. Born around 408 B.C.E. in Cnidos on the Black Sea, Eudoxus was known foremost as a mathematician, but also as an astronomer, physician and legislator. He was a pupil in mathematics of Archytas in Tarentum and in medicine of Philistium. At 23, he moved to Athens to study philosophy at Plato's Academy . Some time later, he traveled to Egypt with Plato , according to Strabo, and received a letter of recommendation to the Pharaoh Nectanebus from the Agesilaus, the king of Sparta. While there, he learned astronomy and made some observations himself. Traveling to Cyzicus, he founded a school which attracted a large number of pupils. Visiting Athens again, with pupils of his school, he held discussions on philosophy with Plato , who did not particularly agree with his views on the theory of ideas. Finally after traveling back to his home land of Cnidos, he died at the age of 53 in 355 B.C.E. He had written a book on practical astronomy, and the Eudemian Summary credits him with the authorship of the first five propositions of Book XIII of the Elements . 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. I), and that every cone is the third part of a cylinder with a common base and altitude (Book XII 10). 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.

89. Web Hosting, Domain Name, Free Web Site, Email Address Web Hosting Translate this page Il termine, magnitude, è stato generato dal matematico greco grande, eudoxus diCnidus (c.408-355 Bc), una pupilla di Archytas di Tarentum (c. 425-350 Bc), un http://members.fortunecity.com/jonhays/cpuzzle.htm

web hosting domain names email addresses IL PUZZLE DIETRO "LA CARAMELLA MISER" STORIA (Alcuno di questo può essere oltre la vostra formazione attuale. Potreste chiedere ad una persona più anziana di aiutarli. O ritornato ad esso quando siete più vecchi. Li desidero semplicemente per sapere che i miei reclami possono essere sostenuti.) SENZA LA SOLUZIONE A QUESTO PUZZLE, STAVAMO VIVENDO NEI VILLAGGI MEDIOEVALI; con TECNOLOGIA più primitiva di quella dei Amish della Pennsilvania, USA. ASSOGGETTARE SAREBBE DIFFUSO. LE DONNE E LE RAGAZZE SAREBBERO REPRESSE, ABUSATO SPESSO, SUPERSTITION SAREBBERO DIFFUSE. Che cosa era il PUZZLE? Potete caratterizzare Il PUZZLE come "perchè ha fatto il venire a mancare di miscelazione?". Per capire, studeremo una forma di miscelazione. Il PUZZLE di IL CANCELLO QUADRATO ha sembrato dire, "potete applicare l'cAritmetica ai LATI DEL QUADRATO, ma non potete applicare l'Aritmetica alla relativa DIAGONALE. Così soltanto la GEOMETRIA descrive IL CANCELLO QUADRATO." Il termine

90. Marmaris: Historical Overview The city prospered and was the home of several influential thinkers including Eudoxusof cnidus credited with the invention of the sundial and the discovery http://www.hitit.co.uk/places/Marmaris/History.html

The early history of Marmaris is a bit of a mystery. Under the romans it was a village called Physcus, attached to the city of Lindus. By the 4th Century BC it was Rhodian. Suleyman the Magnificent's naval assault on Rhodes was launched from Marmaris and the fleet that gathered here in 1522 was composed of 700 ships the 60,000 men they carried met Suleymasn's army of 140,000 who had marched from Istanbul. In 1798 Nelson's fleet also assembled here before sailing to Egypt. Sites The most obvious piece of old stuff in Marmaris itself is the castle, dating from 1522 and the reign of the above mentioned Suleyman, it's good for half an hour or so and houses the ethnography museum. North of the town on Asar tepe you can find some bits and pieces of Physcus in the form of Clasical and Hellenistic fortifications. The more picturesque things to see are located on the Loryma peninsula, south of the town and are best visited by boat. The sites you may see include: Amos - an hour by boat, a hellenistic wall with some towers. Foundations of a small temple and a nice theatre. Loryma - Boat access only, main feature of this ancient city is the fort. Loryma served as a harbor for various naval commaders including Conon the Athenian (oh yes) and a Demetrius who was trying to capture Rhodes - he failed.

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