Theodorus theodorus of cyrene. theodorus of cyrene was a pupil of Protagoras and himself thetutor of Plato, teaching him mathematics, and also the tutor of Theaetetus. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Theodorus.html
Extractions: Theodorus of Cyrene was a pupil of Protagoras and himself the tutor of Plato , teaching him mathematics, and also the tutor of Theaetetus Plato travelled to and from Egypt and on such occasions he spent time with Theodorus in Cyrene. Theodorus, however, did not spend his whole life in Cyrene for he was certainly in Athens at a time when Socrates was alive. Theodorus, in addition to his work in mathematics, was [5]:- ... distinguished ... in astronomy, arithmetic, music and all educational subjects. A member of the society of Pythagoras , Theodorus was one of the main philosophers in the Cyrenaic school of moral philosophy. He believed that pleasures and pains are neither good nor bad. Cheerfulness and wisdom, he believed, were sufficient for happiness. Our knowledge of Theodorus comes through Plato who wrote about him in his work Theaetetus.
Theodorus Biography of Theodorus (465BC398BC) theodorus of cyrene. Born 465 BC in Cyrene (now Shahhat, Libya) http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Theodorus.html
Extractions: Theodorus of Cyrene was a pupil of Protagoras and himself the tutor of Plato , teaching him mathematics, and also the tutor of Theaetetus Plato travelled to and from Egypt and on such occasions he spent time with Theodorus in Cyrene. Theodorus, however, did not spend his whole life in Cyrene for he was certainly in Athens at a time when Socrates was alive. Theodorus, in addition to his work in mathematics, was [5]:- ... distinguished ... in astronomy, arithmetic, music and all educational subjects. A member of the society of Pythagoras , Theodorus was one of the main philosophers in the Cyrenaic school of moral philosophy. He believed that pleasures and pains are neither good nor bad. Cheerfulness and wisdom, he believed, were sufficient for happiness. Our knowledge of Theodorus comes through Plato who wrote about him in his work Theaetetus.
Chronology For 500BC To 1AD About 425BC theodorus of cyrene shows that certain square roots are irrational.This had been shown earlier but it is not known by whom. http://www-gap.dcs.st-and.ac.uk/~history/Chronology/500BC_1AD.html
GO.HRW.COM Lesson 12.4 The Distance Formula theodorus of cyrene, theodorus of cyrene wasa mathematician, astronomer, musician, philosopher, and the tutor of Plato. http://go.hrw.com/ndNSAPI.nd/gohrw_rls1/pKeywordResults?MA1 Theodorus
References For Theodorus References for the biography of Theodorus L Giacardi, On theodorus of cyrene's problem, Arch. http://www-history.mcs.st-and.ac.uk/history/References/Theodorus.html
Extractions: B Artmann, A proof for Theodorus' theorem by drawing diagrams, J. Geom. M S Brown, Theaetetus : Knowledge as Continued Learning, Journal of the History of Philosophy L Giacardi, On Theodorus of Cyrene's problem, Arch. Internat. Hist. Sci. T L Heath, A History of Greek Mathematics I (Oxford, 1921), 203-204, 209-212. R L McCabe, Theodorus' irrationality proofs, Math. Mag. A Wasserstein, Theaetetus and the History of the Theory of Numbers, Classical Quarterly Main index Birthplace Maps Biographies Index
GO.HRW.COM The activity also provides links to interesting Internet sites related to physics.MA1 Theodorus Learn about theodorus of cyrene and the golden spiral. http://go.hrw.com/ndNSAPI.nd/gohrw_rls1/pKeywordResults?MA1 CH12
Spirals: From Theodorus To Chaos, By P. Davis around the study of a difference equation that Davis dubs theodorus of cyrene, the book takes us on an eclectic http://www.webbooks.net/books/_peters/Davis.html
Extractions: In his introduction, the author writes, "To me, mathematics has always been more than its form, or its content, its logic, its strategies, or its applications. Mathematics is one of the greatest of human intellectual experiences, and as such merits and requires a rather liberal approach." He takes just such an approach in this book inspired by the Hedrick Lectures of the Seventy-Fifth Anniversary of the Mathematical Association of America. Although loosely organized around the study of a difference equation that Davis dubs Theodorus of Cyrene, the book takes us on an eclectic whirlwind tour of history, philosophy, anecdote and, of course, mathematics. Incorporating the old and the new, the proved and the conjectural, Davis examines Theodorus in light of mathematical concerns that have grown and changed over the past 2,500 years. A. K. Peters, Ltd., 1993
The Cosmologic Timeline c. 465 bce Hippasus writes of the sphere of 12 pentagons. 465 bce- theodorus of cyrene is born. 398 bce - theodorus of cyrene dies. http://www.panikon.com/cosmo/timeline.html
Extractions: This timeline is distilled down from a more general timeline originally created for Phurba. It is meant to give a better idea of the linear history of the topics discussed in Cosmologic. Some dates given are simply there to give a better grasp of the timeperiods, comparatively. This document will be expanded and fleshed out heavily in time.
History Of Mathematics: Greece c. 425); theodorus of cyrene (c. 425); Socrates (469399); Philolausof Croton (dc 390); Democritus of Abdera (c. 460-370); Hippasus http://aleph0.clarku.edu/~djoyce/mathhist/greece.html
A History Of Irrational Numbers Square roots. Pythagoras of Samos. Born about 569 BC in Samos, Ionia Someclaim he had proofed that the sqrt(2) is irrational. theodorus of cyrene. http://home.zonnet.nl/mathematics/Geschiedenis/Getallen/sub4.htm
Extractions: Theodorus of Cyrene was a pupil of Protagoras and himself the tutor of Plato, Our whole knowledge of Theodorus's mathematical achievements are given by this passage from Plato. Yet there are points of interest which immediately arise. The first point is that Plato does not credit Theodorus with a proof that the square root of two was irrational. This must be because 2 was proved irrational before Theodorus worked on the problem, as stated before, some claim this was proved by Pythagoras himself. Born: about 417 BC in Athens, Greece Born: about 325 BC Book ten deals with the theory of irrational numbers and is mainly the work of Theaetetus. Euclid changed the proofs of several theorems in this book so that they fitted the new definition of proportion given by Eudoxus. The number e was first studied by the Swiss mathematician Leonhard Euler in the 1720s, although its existence was more or less implied in the work of John Napier, the inventor of logarithms, in 1614. Euler was also the first to use the letter e for it in 1727 (the fact that it is the first letter of his surname is coincidental). As a result, sometimes e is called the Euler Number, the Eulerian Number, or Napier's Constant (but not Euler's Constant).
The Circle Is Not Simply Round Theatetus dialogue, Theatetus reports on an investigation of a still smaller intervalof action of this same curvature, by theodorus of cyrene, a Pythagorean http://www.geocities.com/antidummy/sub/circle.html
Spirals: From Theodorus To Chaos Although loosely organized around the study of a difference equation that Davisdubs theodorus of cyrene, the book takes us on an eclectic whirlwind tour of http://www.ibuki-trading-post.com/dir_akp/akp_spifro.html
Extractions: Spirals: From Theodorus to Chaos Philip J. Davis ISBN 1-56881-010-5 AK Peters - 1993 Hardcover 248pp In his introduction to Spirals: From Theodorus to Chaos, Phil Davis writes, "To me, mathematics has always been more than its form, or its content, its logic, its strategies, or its applications. Mathematics is one of the greatest of human intellectual experiences, and as such merits and requires a rather liberal approach." He takes just such an approach in this book inspired by the Hedrick Lectures of the Seventy-Fifth Anniversary of the Mathematical Association of America. Although loosely organized around the study of a difference equation that Davis dubs Theodorus of Cyrene, the book takes us on an eclectic whirlwind tour of history, philosophy, anecdote and, of course, mathematics. Incorporating the old and the new, the proved and the conjectural, Davis examines Theodorus in light of mathematical concerns that have grown and changed over the past twenty-five hundred years. info@ibuki.com
Biography-center - Letter T Theodore II, www.knight.org/advent/cathen/14570b.htm; theodorus of cyrene,wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/Theodorus.html; http://www.biography-center.com/t.html
Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 340 biographies Tabern, Donalee L.
Plato FAQ: The Allegory Of The Cave in a ditch while looking at the stars in the caricature of philosopher he putsin the mouth of Socrates for his friend theodorus of cyrene, the scientist, in http://plato-dialogues.org/faq/faq002.htm
Extractions: Bernard SUZANNE Last updated May 1st, 1999 Plato and his dialogues : Home Biography - Works and links to them History of interpretation New hypotheses - Map of dialogues : table version or non tabular version . Tools : Index of persons and locations Detailed and synoptic chronologies - Maps of Ancient Greek World . Site information : About the author F requently A sked Q uestions about Plato "Could you tell me in what work of Plato I might find his "cave analogy". It is a story of men chained in a cave only able to see their own shadows and delude into thinking that this was all there was to reality." The story this letter refers to, usually called "the allegory of the cave", is found at the beginning of book VII of Plato's dialogue called The Republic . The Stephanus references (the universal way of quoting Plato, available in all editions of his works) for the section telling the allegory are Republic , VII, 514a-517a. It is followed by an interpretation of the allegory put by Plato in the mouth of Socrates, as is the allegory itself. The text of this section of the Republic is available in various English translations on the web, including :
Www.math.niu.edu/~rusin/known-math/98/sqrt_irrat Shortly after then, theodorus of cyrene generalized the result by proving theirrationality of the square roots of 3, 5, , 15, but got stuck at sqrt(17 http://www.math.niu.edu/~rusin/known-math/98/sqrt_irrat
Extractions: From: Ken.Pledger@vuw.ac.nz (Ken Pledger) Newsgroups: sci.math Subject: Irrationals (was Re: please don't laugh...) Date: Wed, 09 Dec 1998 15:05:55 +1200 In article Newsgroups: sci.math Subject: Re: how to prove: if x is not a perfect square, sqr (x) is irrational, x positive integer Date: Sat, 12 Dec 1998 23:12:34 -0500 On Sat, 12 Dec 1998, TS wrote: :Date: Sat, 12 Dec 1998 20:40:37 GMT :From: TS
Who's Who In The Phaedrus Note This Theodorus is not theodorus of cyrene, the famous mathematician featuredin the dialogues Statesman and the Theaetetus . Thrasymachus of Chalcedon. http://www.anotherscene.com/phaedrus/whos.html
Extractions: tomrip5@aol.com Who's Who in the Phaedrus Flourished c. 650 BCE Anacreon important court poet. Serving both the court at Samos and the Athenian court under Hipparchus . For more background in Ancreon and other Greek Lyric Poets, see the Web site for Professor John Porter's course on The Greek Lyric Poets . And for examples of their work, see Professor Porter's selected translations If you need a change of pace from actual Platonic dialogues, you may want to read one of the more-than-likely-fake Platonic dialogues, such as the one to which Hipparchus leant his already dubious name. And see my Electronic Plato Map for the lowdown on the counterfeits and where to find them. Collect them and trade with your friends Resident Alien (metus), father of the orator Lysias. The Republic one of Plato's longest and most celebrated dialogues, takes place in the home of Cephalus in the Piraeus. Socrates is in the vicinity on the day of a newly inaugurated festival is to take place. As he attempts to return to Athens, Lysias' s brother, Polemarchus and friends "kidnap" him and bring him to the home of Cephalus. Lysias is also in attendance there. Cephalus welcomes Socrates, and their conversation takes up a good part of the first book, and is one of the engaging in all the dialogues.
JMM HM DICIONÁRIO Translate this page of Alexandria Theon of Smyrna Theaetetos Theodoros of Cyrene Zeno of Elea, ThalesTheon of Alexandria Theon of Smyrna Theaetetus theodorus of cyrene Zeno of http://phoenix.sce.fct.unl.pt/jmmatos/HISTMAT/HMHTM/HMDIC.HTM
In Proceedings And Similar Publications A. Iserles, ``The dynamics of the Theodorus spiral'', Supplement B to Spirals Fromtheodorus of cyrene to MetaChaos (PJ Davis), Hedrick Lectures 1990, Math. http://www.damtp.cam.ac.uk/user/na/people/Arieh/Publications/Proceedings.html
Extractions: A. Iserles, ``Numerical analysis in Lie groups'' , in Foundations of Computational Mathematics, Oxford 1999 (R. DeVore, A. Iserles and E. Suli, eds), Cambridge University Press, Cambridge (2001), 105-123. ``Geometric integration: Numerical solution of differential equations on manifolds'' Phil. Trans Royal Soc. A A. Iserles, ``Lie groups and the computation of invariants'' Self-Similar Systems ``Linear ODEs in Lie groups'' Proceedings of the 15th IMACS World Congress A. Iserles, ``Insight, not just numbers'' Proceedings of the 15th IMACS World Congress A. Iserles, ``Beyond the classical theory of computational ordinary differential equations'' , in State of the Art in Numerical Analysis A. Iserles, ``Numerical methods on (and off) manifolds'' , in Foundations of Computational Mathematics (F. Cucker and M. Shub, eds), Springer-Verlag, New York (1997), 180-189. ``A scalpel, not a sledgehammer: Qualitative approach to numerical mathematics'' CWI Quarterly ZAMM ``Qualitative numerical analysis of ordinary differential equations'' , in The Mathematics of Numerical Analysis Lectures in Applied Maths , American Mathematical Society, Providence RI (1966), 421-442.
Table Of Contents For Gazalé, M.: Number: From Ahmes To Cantor. 162 Pythagoras's Theorem 162 Pythagorean Triples 164 The Plimpton 322 Tablet 167The Ladder of theodorus of cyrene and Diophantine Equations 169 A Variation on http://pup.princeton.edu/TOCs/c6794.html
The 1989 K-State Undergraduate Lecture Series In Mathematics Davis, a renowned author and mathematician from Brown University, visited KStateand gave a lecture entitled From the spiral of theodorus of cyrene to chaos. http://www.math.ksu.edu/main/lectures/freshmanseminar/frnews89.htm
Extractions: KSU Math Home Lectures Freshman Seminars : The 1989 K-State Undergraduate Lecture Series in Mathematics Printable Version Lectures by a distinguished visiting mathematician and an alumnus were the highlights of our Undergraduate Lecture Series at Kansas State University in the fall of 1989. Philip Davis, a renowned author and mathematician from Brown University, visited K-State and gave a lecture entitled From the spiral of Theodorus of Cyrene to chaos. Michael Anderson, a 1969 K-State mathematics alumnus originally from Hays, gave a lecture entitled Combined hierarchial prioritization and mathematical programming. He discussed the allocation of new resources, using some matrix algebra and operations research techniques. Dr. Anderson currently is working for the TRADOC Analysis Command at Fort Leavenworth, Kansas. Three of our own faculty gave lectures in the Undergraduate Lecture Series. Andrew Bennett spoke on Algebraic Geometry and the historical development of calculus. Thomas Muenzenberger spoke on Career opportunities in mathematics.
