1. Biography-center - Letter E www.whonamedit.com/doctor.cfm/1433.html. eutocius of ascalon, wwwhistory.mcs.st-and.ac.uk/~history/ Mathematicians/Eutocius.html. Evans, Clement Anselm http://www.biography-center.com/e.html

Visit a 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 E 282 biographies Eadred, www.britannia.com/history/monarchs/mon10.html Eadwig, www.britannia.com/history/monarchs/mon11.html Eagan, Edward www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=52407 Eagles, www.hotelcal.com Eakins, Thomas www.ibiblio.org/wm/paint/auth/eakins/ Eakins, Thomas www.getty.edu/art/collections/bio/a1729-1.html Eakins, Thomas www.pbs.org/wnet/americanmasters/database/eakins_t.html Eales, Henry www.whonamedit.com/doctor.cfm/1429.html Earl of Aberdeen, www.spartacus.schoolnet.co.uk/PRaberdeen.htm Earl of Derby, www.spartacus.schoolnet.co.uk/PRderby1.htm Early, Jubal Anderson civilwarhome.com/earlybio.htm Earnhardt (Ralph), Dale www.hickoksports.com/biograph/earnhardtd.shtml Easterly, Thomas Martin

2. History Of Mathematics: Chronology Of Mathematicians Zu Chongzhi (Wenyuan) Tsu Ch ungchih (429-500) *MT; eutocius of ascalon (fl. Eutociusof Ascalon (c. 550?); Liu Zhuo (544-610); Zhen Luan (Shuzun) (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

3. Civilization III Fanatics' Center: Civ3 Intelligence Agency: Sumerians Ibn alBaitar. eutocius of ascalon. Background. The Sumerians were, by historical consensus, the first human civilization http://www.civfanatics.com/civ3/cia/sumerians.shtml

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4. Famous Mathematicians With An E Rhodes Eudemus of. Cnidus Eudoxus of. Leonhard Euler. eutocius of ascalon. Griffith Evans http://www.famousmathematician.com/az/mathematician_E.htm

Mathematicians - E Wallace J. Eckert Beno Eckmann Arthur Eddington William Edge Francis Edgeworth Dimitri Egorov Paul Ehrenfest Samuel Eilenberg Albert Einstein Luther Eisenhart Gotthold Eisenstein Edwin Elliott Empedocles Friedrich Engel Federigo Enriques David Enskog Lorand von Eotvos Epstein Paul Arthur Erdelyi Paul Erdos Agner Erlang Maurits Escher Ernest Esclangon Euclid Rhodes Eudemus of Cnidus Eudoxus of Leonhard Euler Eutocius of Ascalon Griffith Evans Rabbi Ben Ezra Send mail to webmaster@famousmathematician.com with questions or comments about this web site. www.famousmathematician.com Last modified: January 21, 2003

5. Eutocius eutocius of ascalon. Born about 480 eutocius of ascalon was for along time thought to have been born in 530. It is instructive http://www-gap.dcs.st-and.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 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 Biography of Eutocius (480540) eutocius of ascalon. Born about 480 in Ascalon (now Ashqelon), Palestine eutocius of ascalon was for a long time thought to have been born in 530 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 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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.

7. Archytas We know of Archytas s solution to the problem of duplicating the cubethrough the writings of eutocius of ascalon. In these Eutocius http://www-gap.dcs.st-and.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 Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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. Eutocius eutocius of ascalon. Born about 480 in Palestine Died about 540. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/tcs.htm

Eutocius of Ascalon Born: about 480 in Palestine Died: about 540 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Eutocius wrote commentaries on 3 works of Archimedes . He also edited and wrote commentaries on the first 4 books of the Conics of Apollonius . The first of his commentaries on Archimedes appears to have been written around 510. Eutocius does not appear to have done any original work. References (4 books/articles) Other Web sites: Library of Congress, USA Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Eutocius.html

9. History Of Mathematics: Greece Anthemius of Tralles (d. c. 534) John Philoponus (c. 520) Isidorus of Miletus (c. 540?) eutocius of ascalon (c. 550 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)

10. References For Eutocius References for eutocius of ascalon. Biography in Dictionary of ScientificBiography (New York 19701990). Books TL Heath, A History http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZC543.htm

References for Eutocius of Ascalon Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: T L Heath, A History of Greek Mathematics (Oxford, 1921). Articles: R Lorch, The Arabic transmission of Archimedes' 'Sphere and cylinder' and Eutocius' commentary, Z. Gesch. Arab.-Islam. Wiss. P Tannery, Eutocius et ses contemorains, Bull. des sciences mathematique Close this window or click this link to go back to Eutocius Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Eutocius.html

11. 8th Grade Zu Chongzhi (Wenyuan) Tsu Ch'ungchih (429-500) *MT ·. eutocius of ascalon (fl. c 540?) * SB ·. eutocius of ascalon (c. 550?) http://mslombardo.freehosting.net/catalog.html

Free Web site hosting - Freeservers.com Web Hosting - GlobalServers.com Choose an ISP NetZero High Speed Internet ... Dial up $14.95 or NetZero Internet Service $9.95 8th Grade Info Home Page 5th Grade 6th Grade 7th Grade ... Guest Book Page Your project You need to hand me a 2 page paper on the mathematician of your choice by May 31st. You must have 3 sources. I have compiled a list of "MaThMaGiCiAnS" you can choose from. Mathmaticians 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

12. Mathematicians Zu Chongzhi (Wenyuan) Tsu Ch'ungchih (429-500) *mt. eutocius of ascalon (fl. c Isidorus of Miletus (c. 540?) * SB. eutocius of ascalon (c. 550 http://www.chill.org/csss/mathcsss/mathematicians.html

List of Mathematicians printed from: http://aleph0.clarku.edu:80/~djoyce/mathhist/mathhist.html 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 Hippias of Elis (fl. c. 425) *SB *mt Theodorus of Cyrene (c. 425) Socrates (469-399) Philolaus of Croton (d. c. 390) *SB Democritus of Abdera (c. 460-370) *SB *mt 400 B.C.E. Hippasus of Metapontum (or of Sybaris or Croton) (c. 400?) Archytas of Tarentum (of Taras) (c. 428-c. 347) *SB *mt Plato (427-347) *SB *MT Theaetetus of Athens (c. 415-c. 369) *mt Leodamas of Thasos (fl. c. 380) *SB

13. Greek Mathematics We owe this interpretation to eutocius of ascalon (480540 AD), who wrotethis in his commentary to Archimedes On the sphere and cylinder. http://members.fortunecity.com/kokhuitan/greek.html

Era of Greek Mathematics The Greeks are responsible for initial explosion of Mathematical ideas. For several centuries, Greek mathematics reign the mathematical world, with great advances in Number Theory, the Theory of Equation, and in particular Geometry. The first great Greek mathematician is Thales of Miletus (624-547 BC). He brought the knowledge of Egyptian Geometry to the Greeks and discovered several theorems in elementary Geometry. He predicted a Solar Eclipse in 585 BC and could calculate the height of a pyramid, as well as how far a ship is from land. One of his pupils, the Greek philosopher, Anaximander of Miletus (610-546 BC), is considered the founder of Astronomy. Perhaps the most prominent Greek mathematicians is Pythagoras of Samos (569-475 BC). His ideas were greatly influenced by Thales and Anaximander. His school of thought practiced great secrecy and he (and his followers, called Pythagoreans) believe everything in the world can be reduced to numbers. This idea stemmed from Pythagoras' observations in Music, Mathematics and Astronomy. E.g. Pythagoras noticed that vibrating strings produce harmonics in which the lengths of the strings are in ratios of whole numbers. In fact, he contributed greatly to the mathematical theory of music. He had the notion of Odd and Even Numbers, Triangular Numbers, Perfect Numbers, etc. In particular, he is well known today for his Pythagoras Theorem. Although this theorem is known to the Babylonians and Chinese long before Pythagoras, he seemed to be the first person to provide a proof of it.

14. SMF - Publications - Revue d'Histoire des Mathématiques - 5 - Pages 61-82 eutocius of ascalonThis article deals with the corpus of diagrams included in Books I-IV of http://smf.emath.fr/Publications/RevueHistoireMath/5/html/smf_rhm_5_61-82.html

ACM Annuaire MaTeXo MathDoc ... SMAI SMF P ublications N P ... L Format : PDF (180 k) PS (599 k) Action : Voir Coniques Micheline Decorps-Foulquier corpus Coniques VI Abstract: On diagrams in Apollonius of Perga's Conics Edited by Eutocius of Ascalon This article deals with the corpus of diagrams included in Books I-IV of Apollonios of Perga's Conics (ca. 200 B.C.). The original text of these four books has not survived. The Greek as well as the Arabic traditions have handed down to us Eutocius of Ascalon's edition (6th century A.D.), which came with a commentary only preserved by the Greek tradition. After a survey of the usage of construction methods in Greek classical geometry, the author studies diagram practices in the treatise, drawing rules, and the nature of the figures handed down by manuscripts. As far as possible, a distinction between Apollonios's own composition and what must be ascribed to the editor and commentator is drawn. ISSN :

15. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Born 15 April 1707 in Basel, Switzerland Died 18 Sept 1783 in St Petersburg, RussiaEutocius, eutocius of ascalon Born about 480 in Palestine Died about http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=E

16. History Of Mathematics Text It also contains the critical comments of eutocius of ascalon (early6th Century), In eosdem Archimedis libros commentaria. These http://www.brown.edu/Facilities/University_Library/exhibits/math/textfr.html

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 + b = c using a geometrical construction known as "the bride's chair." Other first translations into modern European languages were published in the seventeenth and eighteenth centuries: Dutch (1602), Russian (1739), Swedish (1744), and Danish (1745). Latin Editions Euclid (ca. 326-ca. 265 BC) Preclarissimus liber elementorum Euclidis perspicacissimi: in artem geometrie incipit ... Venice: Erhard Ratdolt, [25 May] 1482. Euclid's Elements of Geometry has been a primary mathematics text for more than two thousand years. It is a compilation of early Greek mathematical knowledge, synthesized and systematically presented by Euclid in ca. 300 BC. Books I-IV are devoted to plane geometry, Book V deals with the theory of proportions, and Book VI with the similarity of plane figures. Books VII-IX are on number theory, Book X on commensurability and incommensurability, Books XI-XII explore three dimensional geometric objects, and Book XIII deals with the construction of the five regular solids. Later non-Euclidian additions include, Book XIV, which is thought to have been contrbuted by Hypsciles (ca. 200 BC), and Book XV, which may have been added by John of Damascus, or by a 6th-century pupil of Isadoros of Miletos.

17. ThinkQuest : Library : A Taste Of Mathematic of Tralles (dc 534); John Philoponus (c. 520); Isidorus of Miletus(c. 540?); eutocius of ascalon (c. 550?); Isidore of Seville (c. 570 http://library.thinkquest.org/C006364/ENGLISH/history/historygreece.htm

Index Math A Taste of Mathematic Welcome to A Taste of Mathematics.You will find the taste of mathematics here.The history of Mathematics,famous mathematicians,cxciting knowledge,the world difficult problems and also mathematics in our life... Browsing,thinking,enjoying,and have a good time here! Visit Site 2000 ThinkQuest Internet Challenge Languages English Chinese Students fangfei Beijing No.4 High School, Beijing, China ziyan Beijing No.4 High School, Beijing, China Coaches Tife Zesps3 Szks3 Ogslnokszta3c9cych Numer 1, Beijing, China xueshun Beijing No.4 High School, Beijing, China Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

18. Mathem_abbrev Elliott, Edwin Eratosthenes of Cyrene Erdös, Paul, Euclid of Alexandria Eudemusof Rhodes Eudoxus of Cnidus Euler, Leonhard eutocius of ascalon Ezra, Abraham. http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

19. Gadara Home Page pupil, the mathematician Sporus (c. 200 AD), were said to have improved on Archimedes proof producing a better appoximation, eutocius of ascalon argued that http://research.haifa.ac.il/~mluz/gadara.folder/gadara2.html

Ancient Gadara City of Philosophers Index Introduction Cynics of Gadara Menippus Meleager Oenomaus Other philosophers Philodemus of Gadara Iamblichus of Apamea Rhetoricians of Gadara Theodorus Apsanes other Gadarans Philo the mathematicians Roman Inscriptions and papyri the witch of Gadara Quintus of Gadara the Byzantine baths the Byzantine synagogue Introduction I have often been asked, Why Gadara City of Philosophers? and why a picture (117K) of the late Greco-Roman entrance to its baths on my welcome page? The answer is quite simple: ancient Gadara (Hebrew: Gader) was the birthplace of three famous Cynic philosopher- satirists, one famous Epicurean philosopher-poet, two important rhetoricians and one famous mathematician In addition, a famous neo-Platonic philosopher once taught in its baths of Hammat-Gader. there are also indications of popular poets, charmers and witches from this city mentioned in various ancient inscriptions and papyri. We also know of an active Jewish community in the area from synagogue inscriptions of the Byzantine era. Finally, recent excavations have uncovered some important Christian inscriptions concerning the baths (el-Hameh) at Hammat-Gader, including a short epic poem in praise of its hot springs apparently written by the

20. [HM] The History Of Horn Angles (3/4) By Ken Pringle This might relate to Eudoxus s solution of the problem of the two mean proportionalsas we hear of it from eutocius of ascalon (c. 530 AD) (Knorr 1986, pp.5261 http://mathforum.org/epigone/historia/nerblimpfror

[HM] The History of Horn Angles (3/4) by Ken Pringle reply to this message post a message on a new topic Back to historia Subject: [HM] The History of Horn Angles (3/4) Author: kenneth.pringle@studentmail.newcastle.edu.au Date: The Math Forum

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