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         Thymaridas:     more detail

1. History Of Mathematics: Chronology Of Mathematicians
Theudius of Magnesia (c. 350?). thymaridas (c. 350). Dinostratus (fl.
http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html
Chronological List of Mathematicians
Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan
Table of Contents
1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below
List of Mathematicians
    1700 B.C.E.
  • Ahmes (c. 1650 B.C.E.) *MT
    700 B.C.E.
  • Baudhayana (c. 700)
    600 B.C.E.
  • Thales of Miletus (c. 630-c 550) *MT
  • Apastamba (c. 600)
  • Anaximander of Miletus (c. 610-c. 547) *SB
  • Pythagoras of Samos (c. 570-c. 490) *SB *MT
  • Anaximenes of Miletus (fl. 546) *SB
  • Cleostratus of Tenedos (c. 520)
    500 B.C.E.
  • Katyayana (c. 500)
  • Nabu-rimanni (c. 490)
  • Kidinu (c. 480)
  • Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT
  • Zeno of Elea (c. 490-c. 430) *MT
  • Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT
  • Oenopides of Chios (c. 450?) *SB
  • Leucippus (c. 450) *SB *MT
  • Hippocrates of Chios (fl. c. 440) *SB
  • Meton (c. 430) *SB

2. History Of Mathematics: Greece
Details development of mathematics in Greece. Includes maps, list of mathematicians, sources, and bibliography. Theudius of Magnesia (c. 350?). thymaridas (c. 350). Dinostratus (c.
http://aleph0.clarku.edu/~djoyce/mathhist/greece.html
Greece
Cities
  • Abdera: Democritus
  • Alexandria : Apollonius, Aristarchus, Diophantus, Eratosthenes, Euclid , Hypatia, Hypsicles, Heron, Menelaus, Pappus, Ptolemy, Theon
  • Amisus: Dionysodorus
  • Antinopolis: Serenus
  • Apameia: Posidonius
  • Athens: Aristotle, Plato, Ptolemy, Socrates, Theaetetus
  • Byzantium (Constantinople): Philon, Proclus
  • Chalcedon: Proclus, Xenocrates
  • Chalcis: Iamblichus
  • Chios: Hippocrates, Oenopides
  • Clazomenae: Anaxagoras
  • Cnidus: Eudoxus
  • Croton: Philolaus, Pythagoras
  • Cyrene: Eratosthenes, Nicoteles, Synesius, Theodorus
  • Cyzicus: Callippus
  • Elea: Parmenides, Zeno
  • Elis: Hippias
  • Gerasa: Nichmachus
  • Larissa: Dominus
  • Miletus: Anaximander, Anaximenes, Isidorus, Thales
  • Nicaea: Hipparchus, Sporus, Theodosius
  • Paros: Thymaridas
  • Perga: Apollonius
  • Pergamum: Apollonius
  • Rhodes: Eudemus, Geminus, Posidonius
  • Rome: Boethius
  • Samos: Aristarchus, Conon, Pythagoras
  • Smyrna: Theon
  • Stagira: Aristotle
  • Syene: Eratosthenes
  • Syracuse: Archimedes
  • Tarentum: Archytas, Pythagoras
  • Thasos: Leodamas
  • Tyre: Marinus, Porphyrius
Mathematicians
  • Thales of Miletus (c. 630-c 550)

3. Literatur Mathematik
Geometrie Pythagoreische Arithmetik - Epanthem des thymaridas - Euklid und vollkommene Zahlen - geometrische Algebra
http://ourworld.compuserve.com/homepages/KrausePlonka/seminar/ma_l_ma.htm
Besondere Bücher zur Mathematik
Zahlwort und Ziffer Das mathematische Denken der Antike Die Zeitgenössischen Denkmethoden Kurzweil durch Mathe ... Wege des exakten Denkens Becker, Oskar Das mathematische Denken der Antike Vandenhoeck Göttingen1957/66 5- Studienheft zur Altertumswissenschaft I: Vorgriechische Mathematik II: Griechische Mathematik ( Euklid, Archimedes, Appolonios )Beispiele : zu I: ägyptische Algebra - Babylonische Algebra zu II: Thaletische Geometrie - Pythagoreische Arithmetik - Epanthem des Thymaridas - Euklid und vollkommene Zahlen - geometrische Algebra der Pythagoreer - pythagoreischer Lehrsatz - Lunulae Hippocratis Delisches Problem ( Würfelverdopplung) - Winkeldrittlung -Kreisquadratur Kegelschnitte nach Pappos - Konchoide des Nikomedes -Siebeneck durch Archimedes Proportionenlehre des Eudoxos - Integrationsmethode des Archimedes - Trigonometrie : Satz des Ptolemaios Gleichungen des Diophant Bergmann Vertretungsstunden Mathematik Sek I Klett Stuttgart 1991 I : Aus Geometrie und Topologie - Flächenverwandlungen, Rund um Pythagoras , Netze, Platonische Körper II : Zahlentheorie - Teilbarkeit, Periodische Dezimalbrüche, Zahlen aus Figuren, III : Historisches - Antike Rechenkunst, Thales, Fibonacci-Zahlen, Goldbachsche Vermutung, Euler IV : Tüfteln und Knobeln - Umfüllaufgaben, Kryptogramme, Flächen in Punktgittern V : Angewandte Mathematik - Stellenwertsysteme, Pascalsches Dreieck, Buffonsches Nadelproblem VI : Merkwürdiges und Scherzhaftes - 100, Merkwürdige Zahlenfolgen, abessinisch Multiplizieren, 64 = 65?, 24 Negerküsse

4. Thymaridas
thymaridas of Paros. Born about 400 BC in Paros, Greece Died about 350 BC.Show birthplace location. We are told a little about thymaridas' life.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thymaridas.html
Thymaridas of Paros
Born: about 400 BC in Paros, Greece
Died: about 350 BC
Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
We are told a little about Thymaridas' life. He was apparently a rich man but, for some reason we are not told about, he fell into poverty. Thestor of Poseidonia sailed to Paros to help him with money specially collected for his benefit. Thymaridas was a Pythagorean and a number theorist who wrote on prime numbers Iamblichus tells us that Thymaridas called a prime number rectilinear since it can only be represented one-dimensionally. Non-primes such as 6 are represented by rectangles of sides 2 and 3. We are also told that he called 'one' a 'limiting quantity' or a 'limit of fewness'. Thymaridas also gave methods for solving simultaneous linear equations which became known as the 'flower of Thymaridas'. For the n equations in n unknowns x x x x n S
x x a
x x a
x x n a n
then Thymaridas gives the solution x a a a n S n He also shows how certain other types of equations can be put into this form.
Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (2 books/articles) Mathematicians born in the same country Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
History Topics

Societies, honours, etc.

5. Thymaridas
Biography of thymaridas (400BC350BC) thymaridas of Paros. Born about 400 BC in Paros, Greece
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Thymaridas.html
Thymaridas of Paros
Born: about 400 BC in Paros, Greece
Died: about 350 BC
Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
We are told a little about Thymaridas' life. He was apparently a rich man but, for some reason we are not told about, he fell into poverty. Thestor of Poseidonia sailed to Paros to help him with money specially collected for his benefit. Thymaridas was a Pythagorean and a number theorist who wrote on prime numbers Iamblichus tells us that Thymaridas called a prime number rectilinear since it can only be represented one-dimensionally. Non-primes such as 6 are represented by rectangles of sides 2 and 3. We are also told that he called 'one' a 'limiting quantity' or a 'limit of fewness'. Thymaridas also gave methods for solving simultaneous linear equations which became known as the 'flower of Thymaridas'. For the n equations in n unknowns x x x x n S
x x a
x x a
x x n a n
then Thymaridas gives the solution x a a a n S n He also shows how certain other types of equations can be put into this form.
Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (2 books/articles) Mathematicians born in the same country Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
History Topics

Societies, honours, etc.

6. References For Thymaridas
References for thymaridas. Biography The URL of this page is http//wwwhistory.mcs.st-andrews.ac.uk/history/References/thymaridas.html.
http://www-gap.dcs.st-and.ac.uk/~history/References/Thymaridas.html
References for Thymaridas
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Books:
  • T L Heath, A History of Greek Mathematics (2 Vols.) (Oxford, 1921). Main index Birthplace Maps Biographies Index
    History Topics
    ... Anniversaries for the year
    JOC/EFR April 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/history/References/Thymaridas.html
  • 7. References For Thymaridas
    References for the biography of thymaridas References for thymaridas. Biography in Dictionary of Scientific Biography (New York 19701990).
    http://www-history.mcs.st-and.ac.uk/References/Thymaridas.html
    References for Thymaridas
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Books:
  • T L Heath, A History of Greek Mathematics (2 Vols.) (Oxford, 1921). Main index Birthplace Maps Biographies Index
    History Topics
    ... Anniversaries for the year
    JOC/EFR April 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/history/References/Thymaridas.html
  • 8. References For Thymaridas
    References for thymaridas. Biography in Dictionary of Scientific Biography(New York 19701990). Books TL Heath, A History of Greek
    http://math.ichb.ro/History/References/Thymaridas.html

    9. T Index
    Thompson, D'Arcy W (479*) Thompson, John (1286*) Thomson, W (Lord Kelvin) (2613*)Thue, Axel (415*) Thurston, Bill (582*) thymaridas (186) Tibbon, Jacob ben
    http://math.ichb.ro/History/Indexes/T.html

    10. WirelessAdvisor.com Forums
    Find User Users that matched thymaridas 1.
    http://www.wirelessadvisor.com/waforums/usersearchresults.cfm?keyword=thymaridas

    11. WirelessAdvisor.com Forums - Nokia
    6, LeeM, Saturday January 25, 2003 322 PM by RyanM. New Posts, 6340i SoftwareVersion, 2, thymaridas, Saturday January 25, 2003 306 PM by thymaridas.
    http://www.wirelessadvisor.com/waforums/categories.cfm?catid=22&STARTPAGE=6

    12. Lebensdaten Von Mathematikern
    thymaridas. De Paros. Vers 400 vers 350 av J.C.
    http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html
    Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers
    in some old and distant town
    from places no one here remembers
    come the things we've handed down.
    Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909)
    Abel, Niels Henrik (5.8.1802 - 6.4.1829)
    Abraham bar Hiyya (1070 - 1130)
    Abraham, Max (1875 - 1922)
    Abu Kamil, Shuja (um 850 - um 930)
    Abu'l-Wafa al'Buzjani (940 - 998)
    Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

    13. Matematikçiler
    thymaridas. Dogum m.ö 400, Yunanistan. Ölüm m.ö 350. thymaridas’inyasami hakkinda çok az sey bilinmektedir. Buna
    http://www.sanalmatematik.com/d/m102.html
    s a n a l m a t e m a t i k c o m kütüphane e -test yazýlar yarýþma ... linkler Thymaridas Doðum: m.ö 400, Yunanistan Ölüm: m.ö 350 Thymaridas’ýn yaþamý hakkýnda çok az þey bilinmektedir. Buna raðmen, çok zengin olduðu bilinmektedir. Thymaridas, bir Pisagor’cuydu. Asal saýlar üzerine yazýlar yazmýþtýr. Thymaridas, birinci derece denklemlerin çözümünde bazý metodlar geliþtirmiþtir. Birinci derece denklemlerin çözümünde geliþtirdiði metod, Thymaridas’ýn çiçeði olarak anýlmaktadýr. n bilinmeyene sahip n adet denklem için: çözümünü bulmuþtur. Ayrýca bazý deðiþik denklemlerin de yukarýdaki forma sokulabileceðini söylemiþtir. biyografiler anasayfa

    14. Biyografiler
    Sharaf Al *Theodosius. *Takiyuddin *T.Bradwardine. *Thales *thymaridas.*Theatetus *Tsu Ch. *Theon *Tyco Brahe. *Theodorus *Zhang Heng.
    http://www.sanalmatematik.com/d/mb4.html
    s a n a l m a t e m a t i k c o m kütüphane e -test yazýlar yarýþma ... linkler Matematikçi Biyografileri - 4 1.sayfa 2.sayfa 3.sayfa 4.sayfa ... *Zhang Heng

    15. Gds_scient
    Théophraste. de Lesbos. thymaridas. de Paros
    http://coll-ferry-montlucon.pays-allier.com/gdscient.htm
    Cette page utilise des cadres, mais votre navigateur ne les prend pas en charge.

    16. TYMARIDAS De Paros
    Translate this page thymaridas De Paros Vers 400 – vers 350 av JC. On sait que thymaridasfut un homme très riche, mais personne ne sait pourquoi
    http://coll-ferry-montlucon.pays-allier.com/tymar.htm
    THYMARIDAS
    De Paros
    Vers 400 – vers 350 av J.C.
    On sait que Thymaridas fut un homme très riche, mais personne ne sait pourquoi il devint un jour très pauvre !
    C’était un pythagoricien et un théoricien des nombres et il a beaucoup écrit sur le sujet. Il s’est intéressé à la résolution d’équations simples. Projet Educatif Européen « SOCRATES COMENIUS » - Collège Jules Ferry (Montluçon)
    LES ORIGINES DU PATRIMOINE SCIENTIFIQUE EUROPEEN
    Coordonnatrice du Projet : Melle BANKO Martine. Animateur du Projet : Mr GIRAUD Jean
    Auteur du document : Mr GIRAUD Jean. Créateur de la page Web : Mr OLLIER Jean Pierre

    17. List_scient
    Translate this page Théodore de Cyrène. Théodosius de Bythinie. Théophraste de Lesbos. thymaridasde Paros. Vitruve de Rome. Xénocrate de Chalcédon. Xénophane d'Elée.
    http://coll-ferry-montlucon.pays-allier.com/l_scient.htm
    Alkmaion
    de Crotone
    Anaxagore de
    Clazomènes
    Alkmaion
    de Crotone
    Anaxagore de
    Clazomènes
    ...
    d'Elée

    18. - Workshops - III. Workshop "MATHEMATICA" Am 13.6.2002 - Aufgabe
    thymaridas! Du Kühe.Bis jetzt ist es einfach , sagte thymaridas ein wenig spöttisch.
    http://www.wias-berlin.de/research/events/workshops/MATHEMA2/Aufg.htm

    Overview

    Research

    Publications

    Products
    ... III. Workshop "MATHE... / Aufgabe The owner is responsible for the contents of this page.
    Einsendeschluss (per email):15.April 2001

    Die Kuhgleichung von Archimedes "Paß gut auf, Thymaridas! Du sollst diese Aufgabe erhalten", sagte Archimedes."Kann ich beginnen?" ..Laß hören, laß hören!" sagten alle neugierig.
    Archimedes strich sich den Bart, schaute nachdenklich vor sich und begann dann:
    Der Sonnengott ließ auf der Insel Thrinakia seine Rinder weiden. Er hatte vier Herden, die erste bestand aus lauter weißen Tieren, die zweite aus lauter schwarzen; die Stiere und die Kühe der dritten Herde waren rötlichbraun und schließlich die der vierten scheckig.In jeder Herde übertraf die Zahl der Stiere beträchtlich die der Kühe.
    Bis jetzt ist es einfach", sagte Thymaridas ein wenig spöttisch.
    Bis jetzt ja", ließ Archimedes gelten. So einfach ist auch die Fortsetzung. Die Zahl der weißen Stiere ist so groß wie die Hälfte und ein Drittel der schwarzen Stiere und aller rötlichbraunen Stiere zusammen; die Zahl der schwarzen Stiere aber so groß wie ein Viertel und ein Fünftel der scheckigen Stiere und aller rötlichbraunen. Schließlich gibt es soviel scheckige Stiere wie ein Sechstel und ein Siebentel der weißen Stiere und aller rötlichbraunen Stiere. Auch das ist nicht übermäßig schwer",erklärte Thymaridas selbstsicher.

    19. LEC - Sommaire
    Translate this page moderne, 321. M. FEDERSPIEL, Sur l’« épanthème de thymaridas »(Jamblique, In Nic., éd. Pistelli, p. 62, 18-68, 26), 341. M. LAVENCY
    http://www.fundp.ac.be/~philo-ec/LECSOMM.HTM
    REVUE TRIMESTRIELLE
    DE RECHERCHE ET D’ENSEIGNEMENT Sommaire du volume 67 (1999) Sommaire du volume 66 (1998) Sommaire du volume 65 (1997)
    D. P ALEOTHODOROS M. F EDERSPIEL In Nic M. L AVENCY M. E. T ORREGO ni nisi Notes et discussions Ph. R ODRIGUEZ Revue des Revues Revue des Livres
    Sommaire du volume 67 (1999)
    A. B LANC M. C OURRENT De Architectura de Vitruve O. C URTY A. D EISSER , Dante et le dernier voyage d’Ulysse M. D UBUISSON M. F EDERSPIEL In Nic O. G ENGLER O. G ENGLER J. H ATEM , L’anticipation de l’abstrait. Lecture du Chef-d’œuvre inconnu de Balzac M. L AVENCY Y. L EHMANN , Temps humain et temps cosmique chez Varron P. M AGNO , L’horoscope d’Horace ( Odes , II, 17, 17-24) N. M A. M EURANT A. M ICHIELS D. P ALEOTHODOROS Ph. R ODRIGUEZ S. S METS , La traduction de Thyrsis par Antoine Cros P. S OMVILLE , Le poison de Britannicus M. E. T ORREGO ni nisi L. V AN D ER S TOCKT , Le temps et le tragique dans les Bacchantes d’Euripide Sommaire du volume 66 (1998)
    P. B ADOT et D. D E D ECKER P. B ONNECHERE spartiate. S. B YL M. C HASSIGNET P.-J. D

    20. References For Thymaridas
    References for thymaridas. Biography in Dictionary of http//wwwhistory.mcs.st-andrews.ac.uk/history/References/thymaridas.html.
    http://www.math.hcmuns.edu.vn/~algebra/history/history/References/Thymaridas.htm

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