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         Eutocius Of Ascalon:     more detail
  1. 480 Births: Benedict of Nursia, Gelimer, Scholastica, Boethius, Xiao Zhaowen, Porphyrius the Charioteer, Eutocius of Ascalon, Zu Gengzhi

1. Eutocius
eutocius of ascalon was for a long time thought to have been born in 530. It seems likely that Eutocius left Ascalon and went to Alexandria to study.
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Eutocius.html
Eutocius of Ascalon
Born: about 480 in Ascalon (now Ashqelon), Palestine
Died: about 540
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Eutocius of Ascalon was for a long time thought to have been born in 530. It is instructive to see how this came about for it shows how many pitfalls there are in the study of history. Eutocius wrote commentaries on three works of Archimedes . His commentary on Book II of On the Sphere and Cylinder ends with the statement:- ... the edition was revised by Isidorus of Miletus, the mechanical engineer, our teacher. From this it was thought that Eutocius was a pupil of Isidorus and his dates were deduced from this information. However, further investigation showed that this contradicted other information such the dedications that Eutocius makes in some of his other works. It was then realised that the comment at the end of Eutocius's commentary to Archimedes On the Sphere and Cylinder was inserted by a later editor of the work who was indeed a pupil of Isidorus of Miletus. It is thought that the first of Eutocius's commentaries on Archimedes was written around 510.

2. Eutocius
eutocius of ascalon
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3. Search Results For Archimedes
eutocius of ascalon writes commentaries on Archimedes work. Eutocius writescommentaries on the works of Archimedes and Apollonius.
http://www-groups.dcs.st-and.ac.uk/~history/Search/historysearch.cgi?SUGGESTION=

4. Chronology For 500 To 900
510 eutocius of ascalon writes commentaries on Archimedes' work.
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5. Eutocius
eutocius of ascalon. Born about Version for printing. eutocius of ascalonwas for a long time thought to have been born in 530. It is
http://www-groups.dcs.st-andrews.ac.uk/history/Mathematicians/Eutocius.html
Eutocius of Ascalon
Born: about 480 in Ascalon (now Ashqelon), Palestine
Died: about 540
Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Version for printing
Eutocius of Ascalon was for a long time thought to have been born in 530. It is instructive to see how this came about for it shows how many pitfalls there are in the study of history. Eutocius wrote commentaries on three works of Archimedes . His commentary on Book II of On the Sphere and Cylinder ends with the statement:- ... the edition was revised by Isidorus of Miletus, the mechanical engineer, our teacher. From this it was thought that Eutocius was a pupil of Isidorus and his dates were deduced from this information. However, further investigation showed that this contradicted other information such the dedications that Eutocius makes in some of his other works. It was then realised that the comment at the end of Eutocius's commentary to Archimedes On the Sphere and Cylinder was inserted by a later editor of the work who was indeed a pupil of Isidorus of Miletus. It is thought that the first of Eutocius's commentaries on Archimedes was written around 510.

6. Eutocius Ascalon
Eut cio = Eutocius de Ascalon (480 540)
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Archytas
We know of Archytas s solution to the problem of duplicating the cube throughthe writings of eutocius of ascalon. In these Eutocius
http://www-groups.dcs.st-andrews.ac.uk/history/Mathematicians/Archytas.html
Archytas of Tarentum
Born: about 428 BC in Tarentum (now Taranto), Magna Graecia (now Italy)
Died: about 350 BC
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to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
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Archytas of Tarentum was a mathematician, statesman and philosopher who lived in Tarentum in Magna Graecia, an area of southern Italy which was under Greek control in the fifth century BC. The Pythagoreans, who had at one stage been strong throughout Magna Graecia, were attacked and expelled until only the town of Tarentum remained a stronghold for them. Archytas led the Pythagoreans in Tarentum and tried to unite the Greek towns in the area to form an alliance against their non-Greek neighbours. He was commander in chief of the forces in Tarentum for seven years despite there being a law that nobody could hold the post for more than a year. Plato , who became a close friend, made his acquaintance while saying in Magna Graecia. Heath writes in [4]:- ... he is said, by means of a letter, to have saved

8. Biography Of Eutocius Of Ascalon
Biography of eutocius of ascalon
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. History Of Mathematics Chronology Of Mathematicians
Zu Chongzhi (Wenyuan) Tsu Ch'ungchih (429-500) *MT eutocius of ascalon (fl. c. 480) *SB Marinus of Sichem (Neapolis) (c. 480?) *SB
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10. History Of Mathematics: Chronology Of Mathematicians
*SB; eutocius of ascalon (c. 550?) Liu Zhuo (544610); Zhen Luan (Shuzun) (fl.566); Isidore of Seville (c. 560-636) *SB
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

11. History Of Mathematics Greece
Isidorus of Miletus (c. 540?) eutocius of ascalon (c. 550?) Isidore of Seville (c. 570636) Michael Constantine Psellus (1018-c. 1080)
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12. History Of Mathematics: Greece
eutocius of ascalon (c. 550?) Isidore of Seville (c. 570636); Michael ConstantinePsellus (1018-c. 1080); Georgios Pachymeres (1242-1316)
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)

13. Lebensdaten Von Mathematikern
355 v. Chr.) Euklid (um 365 um 300 v. Chr.) Euler, Leonhard (15.4.1707 - 18.9.1783) Eutocius von Ascalon (um 480 - um 540) Evans, Griffith
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14. ALEXANDRIA DOCTA BIBLIOGRAPHIE G N RALE
Alexandria docta bibliographie g n rale
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15. TMTh ARCHIMEDES OF SYRACUSE
by Cicero in 75 BC. A commentary on Archimedes is found in the work of 6th century writer eutocius of ascalon, who also mentions a biography
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16. PSIgate - Physical Sciences Information Gateway Search/Browse Results
eutocius of ascalon Born about 480 in Ascalon (now Ashqelon), Palestine Diedabout 540 Previous (Chronologically) Next Biographies Index Previous
http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue2.pl?limit=500&term1=b

17. Bibliography
Archimedes, ca. 287212 B.C. Oeuvres completes d'Archimede / suivies des commentaires d'Eutocius d'Ascalon;
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18. From Euclid To Newton
It also contains the critical comments of eutocius of ascalon (early 6th Century),In eosdem Archimedis libros commentaria. These are noteable because,
http://www.brown.edu/Facilities/University_Library/exhibits/math/nofr.html
From Euclid to Newton:
An Exhibition in Honor of the 1999 Conference of the
Mathematical Association of America Math Exhibit Home
Exhibits Home

Euclid

(ca. 326-265 BC)
Archimedes

(ca. 287-212 BC)
Apollonius of Perga

(ca. 260-200 BC)
Nichomachus of Gerasa
(ca. 100) Claudius Ptolemy (ca. 85-165) Diophantus of Alexandria (ca. 200-284) Pappus of Alexandria (ca. 300-350) Proclus (ca. 410-485) Boethius (ca. 480-524) Thomas Bradwardine (ca. 1290-1349) Girolamo Cardano Robert Recorde Johann MŸller of Kšnigsberg called Regiomontanus Franois Vite John Napier Henry Briggs Adriaan Vlacq ... Bonaventura Cavalieri (ca. 1598-1647) Christiaan Huygens RenŽ Descartes Gottfried Wilhem Leibniz Sir Isaac Newton ... Guillaume Franois Antoine l'Hospital, Marquis de Sainte-Mesme TOP
Euclid
Brown University Library possess a copy of each sixteenth-century translation of Euclid's Elements of Geometry into a modern language. These vernacular editions, grouped around the first Latin edition of 1482, are displayed in chronological sequence, from 1533 (Greek) to 1594 (Arabic). All copies are opened at Book I, proposition 47, "Pythagoras' Theorem," which asserts: "In right-angled triangles the square of the side opposite the right angle is equal to the sum of the squares of the sides containing the right angle." Most of the translations provide proof of this equation (a

19. Eutocius
eutocius of ascalon. Born about 480 eutocius of ascalon was for a longtime thought to have been born in 530. It is instructive
http://202.38.126.65/mirror/www-history.mcs.st-and.ac.uk/history/Mathematicians/

20. Bryn Mawr Classical Review 2004.07.14
well as a translation of the important ancient commentary by eutocius of ascalon, The translation of Eutocius commentaries is another particularly
http://ccat.sas.upenn.edu/bmcr/2004/2004-07-14.html
Bryn Mawr Classical Review 2004.07.14
Reviel Netz, The Works of Archimedes: Translated into English, together with Eutocius' Commentaries, with Commentary, and Critical Edition of the Diagrams. Vol. 1: The Two Books On the Sphere and the Cylinder . Cambridge: Cambridge University Press, 2004. Pp. x, 375. ISBN 0-521-66160-9. $125.00.
Reviewed by Eleanor Dickey, Columbia University (ed202@columbia.edu)
Word count: 1954 words
Perhaps the ultimate acknowledgement that a work of classical antiquity is truly impossible to read is the provision of a facing translation in the Teubner text. In the case of Archimedes, probably the most famous of ancient mathematicians, the distinction is certainly well deserved, and there is considerable courage involved in any attempt to translate this difficult, elliptical, and interpolated (not to mention highly technical) set of writings. The book under review, a translation of the two books On the Sphere and the Cylinder , is an example of particular courage well applied: it is only the first volume of a multi-volume translation project intended to cover all the works of Archimedes included in the standard Greek edition (Teubner, ed. J. L. Heiberg, 2nd edn 1910-15). The volume includes not only a translation but also extensive commentary, as well as a translation of the important ancient commentary by Eutocius of Ascalon, notes on that commentary, and a critical edition of the diagrams that accompany both texts in the manuscript tradition. The work is of high quality and will undoubtedly remain an important one for years to come though perhaps less because of the translation itself than because of the accompanying material.

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