1. Theodorus theodorus of cyrene was a pupil of Protagoras and himself the tutor of Plato, Theodorus, however, did not spend his whole life in Cyrene for he was http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Theodorus.html

Theodorus of Cyrene Born: 465 BC in Cyrene (now Shahhat, Libya) Died: 398 BC in Cyrene (now Shahhat, Libya) Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing 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.

2. Theodorus theodorus of cyrene http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. References For Theodorus L Giacardi, On theodorus of cyrene s problem, Arch. Internat. Hist. Sci.27 (101) (1977), 231236. TL Heath, A History of Greek Mathematics I (Oxford, http://www-groups.dcs.st-and.ac.uk/~history/References/Theodorus.html

References for Theodorus Version for printing Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: 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 History Topics ... Anniversaries for the year JOC/EFR January 1999 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Theodorus.html

4. Theodorus Of Cyrene - Definition Of Theodorus Of Cyrene In Browse. Theodore Samuel Williams theocracy theodorus of cyrene theological virtue http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. Theodorus Of Cyrene - Wikipedia, The Free Encyclopedia theodorus of cyrene. From Wikipedia, the free encyclopedia. Greek mathematicianof the 5th century BC who was admired by Plato, who mentions him in several http://en.wikipedia.org/wiki/Theodorus_of_Cyrene

Wikimedia needs your help in the final days of its fund drive. See our fundraising page The Red Cross and other charities also need your help. Theodorus of Cyrene From Wikipedia, the free encyclopedia. Theodorus of Cyrene was an Greek mathematician of the 5th century BC who was admired by Plato , who mentions him in several sources. Little is known about his accomplishments; however, he is atrributed to proving that the square roots of 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 and 17 are irrational Retrieved from " http://en.wikipedia.org/wiki/Theodorus_of_Cyrene Categories Ancient Greek mathematicians Views Article Discussion Edit this page History Personal tools Create account / log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 22:41, 27 August 2005. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

6. History Of Mathematics Greece Meton (c. 430) *SB Hippias of Elis (c. 425) theodorus of cyrene (c. 425) Socrates (469399) Philolaus of Croton (d. c. 390) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Theodore - Wikipedia, The Free Encyclopedia Theodore, or the Latin equivalent Theodorus, can refer to. theodorus of cyrenea mathematician from Greek antiquity; Theodore of Amasea, a Christian saint http://en.wikipedia.org/wiki/Theodorus

8. History Of Mathematics Chronology Of Mathematicians Meton (c. 430) *SB Hippias of Elis (fl. c. 425) *SB *MT theodorus of cyrene (c. 425) Socrates (469399) Philolaus of Croton (d. c. 390) *SB http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Academia theodorus of cyrene. CONSTRUCTING SEGMENTS OF IRRATIONAL MEASUREMENT. This processallows segments to be constructed which measure the square root of n. http://descartes.cnice.mecd.es/ingles/maths_workshop/A_history_of_Mathematics/Gr

THE ACADEMY 1 History DINOSTRATUS THE SQUARING OF THE CIRCLE Dinostratus proved that the trisectrix of Hippias could be used to solve this problem after discovering that the side of the square is the mean proportional between the arc of the quarter circle AC and the segment DQ. There are various stages to the reductio ad absurdum proof which are illustrated in the following windows: Let the circle with centre D and radius DR intersect the trisectrix at S and the side of the square at T. Draw the perpendicular SU to side DC from point S. As the arcs are proportional to the radii then AC/AB=TR/DR (2) From (1) and (2) it must follow that TR=AB (3) S is the point on the trisectrix which satisfies TR/SR=AB/SU (4) From (3) and (4) it follows that SR=SU However, this is absurd as the perpendicular is the shortest distance between a point and a line. Therefore, DR cannot be longer than DQ. 2.- We repeat this way of reasoning with the hypothesis

10. Theodorus Of Cyrene Definition / Theodorus Of Cyrene Research theodorus of cyrene Definition / theodorus of cyrene Research Related Links Please wait Researching subject http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. GO.HRW.COM theodorus of cyrene was a mathematician, astronomer, musician, philosopher theodorus of cyrene This site provides a biography of Theodorus and describes http://go.hrw.com/ndNSAPI.nd/gohrw_rls1/pKeywordResults?MA1 Theodorus

12. Temp theodorus of cyrene . .. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. GO.HRW.COM Learn about theodorus of cyrene and the golden spiral. MA1 Right Triangles Thisactivity will challenge you to use the methods in the text to solve slightly http://go.hrw.com/ndNSAPI.nd/gohrw_rls1/pKeywordResults?MA1 CH12

14. Cyrene Ancient History Sourcebook Documents of the Founding of Cyrene, c. 630 BCE. Theodorus Cyrene, Libya. A Nextopia BETA project. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Biography-center - Letter T theodorus of cyrene, wwwhistory.mcs.st-and.ac.uk/~history/M. .. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

16. Plato FAQ: The Allegory Of The Cave 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, http://plato-dialogues.org/faq/faq002.htm

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 The allegory of the cave "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 :

17. Spirals From Theodorus To Chaos, By P. Davis Although loosely organized around the study of a difference equation that Davis dubs theodorus of cyrene, the book takes us on an eclectic http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

18. Ancient Greece And Irrational Numbers theodorus of cyrene (465398 BC) was a teacher of Plato and Thaetetus. He providedthe proof of the irrationality of all integer numbers between 3 and 17 http://www.mlahanas.de/Greeks/Irrational.htm

Irrational numbers Michael Lahanas Griechische Mathematik: Entdeckung der irrationalen Zahlen If there be an area or field, whose form is a square, and it is required to set out another field whose form is also to be a square, but double in area, as this cannot be accomplished by any numbers or multiplication, it may be found exactly by drawing lines for the purpose, and the demonstration is as follows. A square plot of ground ten feet long by ten feet wide, contains an hundred feet; if we have to double this, that is, to set out a plot also square, which shall contain two hundred, we must find the length of a side of this square, so that its area may be double, that is two hundred feet. By numbers this cannot be done ; for if the sides are made fourteen feet, these multiplied into each other give one hundred and ninety-six feet; if fifteen feet, they give a product of two hundred and twenty-five. Marcus Vitruvius Pollio de Architectura, Book 9 by numbers this cannot be done The fact is used twice by Aristotle as a (presumably) well-known example of argument by reductio ad absurdum ( Prior Analytics 1.23.41a26 and 1.44.55.a37), and is clearly older than him.

19. CHURCH FATHERS On The Anger Of God (Lactantius) also theodorus of cyrene both of whom, because they were unable to discover anything new, all things having already been said and found out http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

20. Ancient Greek Portraits And Biographies Theocritus Theodectes. theodorus of cyrene. Theodorus of Samos Theodosius Theognis Theon of Alexandria Theon of Smyrna http://www.mlahanas.de/Greeks/Portraits.htm

Ancient Greek Portraits and Biographies Michael Lahanas Biographies A Achaeus of Eretria Achilles Tatius Acrotatus Aelianus Tacticus ... Alcmaeon of Croton Alexander of Aetolia Alexander of Aphrodisias Alexander the Great (Plutarch) Alexander of Myndus Alexander of Pherae Alexander Polyhistor Alexander I Balas Alexander II of Epirus ... Alexis Ameinocles of Corinth Ammonius Saccas Amyntas I Amyntas IV Anacharsis ... Andocides Andronicus Cyrrhestes Angelion Antalcidas Anthemius Antigonus I Monophthalmos Antigonus II Gonatas ... Antoninus Liberalis Antyllus Anyte of Tegea Apelles Apollodorus of Athens Apollodorus of Carystus ... Apollodotus I Apollonidas of Sicyon Apollonius Dyscolus Apollonius Mys Apollonius of Perga Apollonius Rhodes Apollophanes Aratus of Soli Arcesilaus Archelaus Archermus Archestratus of Gela Archias of Corinth Archidamus II Archidamus III Archilochus Archimedes of Syracuse ... Aristides Aristillus of Samos Aristippus Aristomachus of Argos Ariston of Chios Ariston of Ceos (Iulis) Aristophanes Aristophanes of Byzantium Aristotle Aristotle (Diogenes Laertius) ... Artemidorus of Daldis Artemon of Miletus Artemon Periphoretos Asclepiades of Samos Asclepiades of Bithynia Aspasia Athenaeus of Cyzicus Athenaeus of Atteleia Athenaeus of Naucratis Athenodorus of Rhodes Attalus I Autolycus of Pitane B Bacchylides Bateia Bathycles of Magnesia Berenice I ... Bion Biton Brasida s Bryaxis Bryson Bupalus of Chios C Callippus Calamis Callias Callicrates ... Callimachus of Cyrene Callimachus of Athens Callinus of Ephesus Callisthenes Cantharus of Sicyon Carcinus Carneades Cassander Chares of Lindos Charon of Magnesia

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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