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

81. 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
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
Walter W. Bryant
of the Royal Observatory, Greenwich
Contents.
  • Astronomy Before Kepler Early Life of Kepler Tycho Brahe Kepler Joins Tycho ... Glossary
  • Chapter I.
    Astronomy Before Kepler.
    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.

    82. 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
    Eudoxus of Cnidus
    Born: 408 BC in Cnidus (on Resadiye peninsula), Asia Minor (now Knidos, Turkey)
    Died: 355 BC in Cnidus, Asia Minor (now Turkey)
    Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
    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.

    83. 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
    History of Astronomy Persons
    History of Astronomy: Persons (E)
    Deutsche Fassung

    84. MSN Encarta - Eudoxus
    Eudoxus (408355 bc), Greek astronomer and mathematician, who made importantcontributions to the field of geometry and who proposed eudoxus of cnidus
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    85. 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
    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.
    Probably Eudoxus regarded the celestial spheres as a mathematical device for ease of computation rather than as physically real, but the idea was taken up by Aristotle and became entrenched in astronomical thought until the time of Tycho Brahe.
    In mathematics Eudoxus' early success was in the removal of many of the limitations imposed by Pythagoras on the theory of proportion. Eudoxus also established a test for the equality of two ratios.
    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.

    86. 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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    88. 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
    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.

    89. Enciclopedia :: 100cia.com
    Translate this page eudoxus de cnidus. (En este momento no hay texto en esta p�gina. Para iniciarel art�culo, click editar esta p�gina (http//es.wikipedia.
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    90. 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

    91. 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
    Ancient World Mathematics
    Written by Paul Dickson
    (University of South Australia, 1996)
    Thales of Miletus (640 - 546 BC)
    Thales was born in Miletus in 640 BC and became a merchant as soon as his skills allowed, actual history concerning Thales is scarce but some stories about him have filtered down through the ages, whether they are true or not..... no one really knows.
    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.
    Figure 1: A Triangle inscribed in a Semi-circle makes a right angle.
    Thales and the Salt Caravan
    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.
    Thales and the Olive Oil Empire
    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.

    92. 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
    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

    93. 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
    Suche:
    Main Page
    Eudoxus of Cyzicus

    '''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 planet s.
    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 Indian Mathematician Bhaskara and later by Newton
    An algebraic curve (the Kampyle of Eudoxus) is named after him
    :''a x = b (x + y
    Also

    94. PUZZLE

    http://members.fortunecity.com/jonhays/spuzzle.htm
    web hosting domain names photo sharing
    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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