1. Hippocrates Of Chios hippocrates of chios mid fifth century BCE. One of the greatest geometersof antiquity, Hippocrates, started out as a merchant. Aside http://www.math.sfu.ca/histmath/Europe/Euclid300BC/HIPPOCRATES.HTML

Hippocrates of Chios mid fifth century B.C.E. One of the greatest geometers of antiquity, Hippocrates, started out as a merchant. Aside from being a brilliant mathematician, Aristotle said he was not a very clever merchant, since he was cheated of his money by crooked tax officials in Byzantium (some say he was robbed by pirates.) After moving to Athens around 430 B.C.E. to prosecute the offenders, he attended lectures in his leisure time and eventually became a teacher of geometry. One of Hippocrates achievements was that of the quadrature or squaring of the circle. Hippocrates also worked on the duplication of the cube and was the first to reduce the problem of doubling the cube of side a to the problem of discovering two mean proportionals b, c between a and 2a. For if a:b = b:c = c:2a then a :b = (a:b) = (a:b)(b:c)(c:2a)=a:2a and b . Hippocrates was unable to solve this proportion of finding two mean proportionals between one straight line and another line twice as long. The approach Hippocrates took to the problem simplified it from one of solid geometry to one of plane geometry. Hippocrates is said to be the first to have written an Elements of Geometry

2. Hippocrates Of Chios hippocrates of chios (ca. 470ca. 410 BC) Greek mathematician Hippocratesworked in classic problems of geometry, such as squaring the circle. http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Hippocrates of Chios (ca. 470ca. 410 B.C. Greek mathematician Hippocrates worked in classic problems of geometry, such as squaring the circle. He taught in Athens. Much of his geometry was contained in his lost work entitled Elements of Geometry . That work is contained in the first two books of Euclid's Elements . His book also contained solutions to quadratic equations and rudimentary methods of integration

3. Hippocrates Links Hippocrates Credits at http//hippocrates.ouhsc.edu/credits. html. hippocrates of chios at http// mathserv. http://elvers.stjoe.udayton.edu/history/people/Hippocrates.html

Hippocrates Image Source: http://www.astro.virginia.edu/~eww6n/bios/HippocratesofCos.html Some Hippocrates Links You may need to search for the person using your browser's find function Hippocrates of Cos (460-ca. 370 BC) at http://www.astro.virginia.edu/~eww6n/bios/HippocratesofCos.html Hippocrates: Credits at http://hippocrates.ouhsc.edu/credits.html Hippocrates of Chios at http://mathserv.math.sfu.ca/History_of_Math/Europe/Euclid300BC/hippocrates.html Search the Web for Hippocrates HotBot Alta Vista Excite Infoseek ... On-Line Books Page OhioLINK Holdings on Hippocrates These links are available only if you are at an OhioLINK institution Search OhioLINK Central Catalog for books about Hippocrates Search OhioLINK Central Catalog for books by Hippocrates Search Britannica Online Site Links People by birthdate People by name Categories Library resources ... Welcome page

4. Hippocrates hippocrates of chios. hippocrates of chios taught in Athens and worked on theclassical problems of squaring the circle and duplicating the cube. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Hippocrates.html

Hippocrates of Chios Born: about 470 BC in Chios (now Khios), Greece Died: about 410 BC Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Hippocrates of Chios taught in Athens and worked on the classical problems of squaring the circle and duplicating the cube Iamblichus [4] writes:- One of the Pythagoreans Hippocrates lost his property, and when this misfortune befell him he was allowed to make money by teaching geometry. Heath [6] recounts two versions of this story:- One version of the story is that Hippocrates was a merchant, but lost all his property through being captured by a pirate vessel. He then came to Athens to persecute the offenders and, during a long stay, attended lectures, finally attaining such proficiency in geometry that he tried to square the circle. Heath also recounts a different version of the story as told by Aristotle ... he allowed himself to be defrauded of a large sum by custom-house officers at Byzantium, thereby proving, in Aristotle 's opinion, that, though a good geometer, he was stupid and incompetent in the business of ordinary life.

5. Hippocrates Biography of Hippocrates (470BC410BC) hippocrates of chios. Born about 470 BC in Chios (now Khios), Greece http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hippocrates.html

Hippocrates of Chios Born: about 470 BC in Chios (now Khios), Greece Died: about 410 BC Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Hippocrates of Chios taught in Athens and worked on the classical problems of squaring the circle and duplicating the cube Iamblichus [4] writes:- One of the Pythagoreans Hippocrates lost his property, and when this misfortune befell him he was allowed to make money by teaching geometry. Heath [6] recounts two versions of this story:- One version of the story is that Hippocrates was a merchant, but lost all his property through being captured by a pirate vessel. He then came to Athens to persecute the offenders and, during a long stay, attended lectures, finally attaining such proficiency in geometry that he tried to square the circle. Heath also recounts a different version of the story as told by Aristotle ... he allowed himself to be defrauded of a large sum by custom-house officers at Byzantium, thereby proving, in Aristotle 's opinion, that, though a good geometer, he was stupid and incompetent in the business of ordinary life.

6. Chronology For 500BC To 1AD paradoxes. About 440BC hippocrates of chios writes the Elements whichis the first compilation of the elements of geometry. About http://www-gap.dcs.st-and.ac.uk/~history/Chronology/500BC_1AD.html

Chronology for 500BC to 1AD Previous page Chronology index Full chronology Next page About 500BC The Babylonian sexagesimal number system is used to record and predict the positions of the Sun, Moon and planets. (See this History Topic About 500BC Panini 's work on Sanskrit grammar is the forerunner of the modern formal language theory. About 465BC Hippasus writes of a "sphere of 12 pentagons", which must refer to a dodecahedron About 450BC Greeks begin to use written numerals. (See this History Topic About 450BC Zeno of Elea presents his paradoxes. About 440BC Hippocrates of Chios writes the Elements which is the first compilation of the elements of geometry. About 430BC Hippias of Elis invents the quadratrix which may have been used by him for trisecting an angle and squaring the circle About 425BC Theodorus of Cyrene shows that certain square roots are irrational . This had been shown earlier but it is not known by whom. About 400BC Babylonians use a symbol to indicate an empty place in their numbers recorded in cuneiform writing. There is no indication that this was in any way thought of as a number. (See this History Topic Plato founds his Academy in Athens About 375BC Archytas of Tarentum develops mechanics. He studies the "classical problem" of

7. Metropolitan Carpet Cleaning hippocrates of chios taught in Athens and worked on the classical problems of squaring the circle and duplicating the http://groups.msn.com/MetropolitanCarpetCleaning/hippocratesofchios.msnw

MSN Home My MSN Hotmail Search ... Money Groups Metropolitan Carpet Cleaning MetropolitanCarpetCleaning@groups.msn.com Groups Home My Groups Language Help ... Tools Hippocrates of Chios taught in Athens and worked on the classical problems of squaring the circle and duplicating the cube . Little is known of his life but he is reported to have been an excellent geometer who, in other respects, was stupid and lacking in sense. Some claim that he was defrauded of a large sum of money because of his naiveté. Again math is not my subject although this is interesting via the large sum of money.... One of the greatest geometers of antiquity, Hippocrates, started out as a merchant. Aside from being a brilliant mathematician, Aristotle said he was not a very clever merchant, since he was cheated of his money by crooked tax officials in Byzantium (some say he was robbed by pirates.) After moving to Athens around 430 B.C.E. to prosecute the offenders, he attended lectures in his leisure time and eventually became a teacher of geometry. One of Hippocrates achievements was that of the quadrature or squaring of the circle. Hippocrates also worked on the duplication of the cube and was the first to reduce the problem of doubling the cube of side a to the problem of discovering two mean proportionals b, c between a and 2a. For if a:b = b:c = c:2a then a

8. Hippocrates Of Chios (ca. 450 BC) -- From Eric Weisstein's World Of Scientific B Branch of Science " Mathematicians Nationality " Greek hippocrates of chios (ca. 450 BC) Greek mathematician who squared 3 lunes in the 5th century B. C. Additional biographies Greek and Roman Science and Technology References Dunham, W. http://www.treasure-troves.com/bios/HippocratesofChios.html

Branch of Science Mathematicians Nationality Greek Hippocrates of Chios (ca. 450 BC) Greek mathematician who squared lunes in the 5th century B. C. Additional biographies: Greek and Roman Science and Technology References Dunham, W. "Hippocrates' Quadrature of the Lune." Ch. 1 in Journey Through Genius: The Great Theorems of Mathematics. New York: Wiley, pp. 1-20, 1990. Heath, T. L. A History of Greek Mathematics, Vol. 1: From Thales to Euclid. New York: Dover, p. 185, 1981. Author: Eric W. Weisstein

9. Euclid, His Works And His Influences substance of all things. hippocrates of chios (c. 5th century BCE)was one of the greatest geometers of antquity. He is credited http://www.math.sfu.ca/histmath/Europe/Euclid300BC/INDEX.HTML

His Works and His Influences Euclid , author of the most important textbook of all time, and arguably the most influential geometry text to date, the Elements (which has existed in more editions than any other work than the Bible ), flourished around 300 B.C.E. in Alexandria. Invited to open the mathematical school at the Museum and Library at Alexandria, Euclid accepted and compiled several works, some of which are still in circulation today, some of which have long vanished. Many people before Euclid were essential in his collaboration of works and ideas to create the Elements To tell the story of Euclid is in some ways to tell a story of Greek math, thus our exploration begins with Thales of Miletus (624 - 547 B.C.E.), who is the first mathematician mentioned in Eudemus of Rhodes' formal history, written around 320 B.C.E. Pythagoras (572 - 497 B.C.E.), famed for the theorem named after him, of which is probably the most interesting of all ancient mathematicians. His group of disciples, known as the Pythagoreans, believed all is number; number is the substance of all things. Hippocrates of Chios (c. 5th century B.C.E.) was one of the greatest geometers of antquity. He is credited with writing a text which is arguably contained in most of Book I of the

10. Hippocrates Of Chios (ca. 450 BC) -- From Eric Weisstein's World Of Scientific B Branch of Science , Mathematicians v. Nationality , Greek v. hippocrates of chios(ca. 450 BC), Greek mathematician who squared 3 lunes in the 5th century B. C. http://scienceworld.wolfram.com/biography/HippocratesofChios.html

Branch of Science Mathematicians Nationality Greek Hippocrates of Chios (ca. 450 BC) Greek mathematician who squared lunes in the 5th century B. C. Additional biographies: Greek and Roman Science and Technology References Dunham, W. "Hippocrates' Quadrature of the Lune." Ch. 1 in Journey Through Genius: The Great Theorems of Mathematics. New York: Wiley, pp. 1-20, 1990. Heath, T. L. A History of Greek Mathematics, Vol. 1: From Thales to Euclid. New York: Dover, p. 185, 1981. Author: Eric W. Weisstein

11. Hippocrates Of Chios This page is part of the "tools" section of a site, Plato and his dialogues, dedicated to developing a new interpretation of Plato's dialogues. Hippocrates, born in the island of Chios, in Ionia, started, according to a tradition recorded in Philoponus' Commentary http://www.plato-dialogues.org/tools/char/hipchios.htm

Bernard SUZANNE Last updated December 5, 1998 Plato and his dialogues : Home Biography Works 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 This page is part of the "tools" section of a site, Plato and his dialogues , dedicated to developing a new interpretation of Plato's dialogues. The "tools" section provides historical and geographical context (chronology, maps, entries on characters and locations) for Socrates, Plato and their time. For more information on the structure of entries and links available from them, read the notice at the beginning of the index of persons and locations Hippocrates, born in the island of Chios , in Ionia, started, according to a tradition recorded in Philoponus' Commentary on Aristotle's Physics , as a merchant and came to Athens to prosecute pirates who had robbed him of all his goods. Required to stay there for a while to settle his case, he consorted with philosophers and became interested in mathematics, so that in the end, he stayed in Athens from about 450 to 430 B. C. He was, according to Proclus ( Commentary on Euclid , I), the first to write Elements (possibly around B. C.), more than one century before those of Euclid (usually dated from around 300 B. C.), but his works are no longer extant and are known only from references by later commentators. In trying to square the circle, Hippocrates adressed the problem of the surface of lunes, figures included between two intersecting arcs of circles.

12. BiosWorld What's New modified); hippocrates of chios (ca. 450 BC) (NEW); Magnus, HeinrichGustav (18021870) (NEW); Mohr, Carl Friedrich (1806-1879) (NEW); http://scienceworld.wolfram.com/biography/whatsnew.html

13. Hippocrates Of Chios Hippocrates, born in the island of Chios, in Ionia, started, according to a traditionrecorded in Philoponus' Commentary on Aristotle's Physics, as a merchant http://plato-dialogues.org/tools/char/hipchios.htm

Bernard SUZANNE Last updated December 5, 1998 Plato and his dialogues : Home Biography Works 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 This page is part of the "tools" section of a site, Plato and his dialogues , dedicated to developing a new interpretation of Plato's dialogues. The "tools" section provides historical and geographical context (chronology, maps, entries on characters and locations) for Socrates, Plato and their time. For more information on the structure of entries and links available from them, read the notice at the beginning of the index of persons and locations Hippocrates, born in the island of Chios , in Ionia, started, according to a tradition recorded in Philoponus' Commentary on Aristotle's Physics , as a merchant and came to Athens to prosecute pirates who had robbed him of all his goods. Required to stay there for a while to settle his case, he consorted with philosophers and became interested in mathematics, so that in the end, he stayed in Athens from about 450 to 430 B. C. He was, according to Proclus ( Commentary on Euclid , I), the first to write Elements (possibly around B. C.), more than one century before those of Euclid (usually dated from around 300 B. C.), but his works are no longer extant and are known only from references by later commentators. In trying to square the circle, Hippocrates adressed the problem of the surface of lunes, figures included between two intersecting arcs of circles.

14. Chios Chios was he birthplace of the great mathematician hippocrates of chios (not tobe confused with the famous physician of the same name, Hippocrates of Cos http://plato-dialogues.org/tools/loc/chios.htm

Bernard SUZANNE Last updated November 15, 1998 Plato and his dialogues : Home Biography Works 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 This page is part of the "tools" section of a site, Plato and his dialogues , dedicated to developing a new interpretation of Plato's dialogues. The "tools" section provides historical and geographical context (chronology, maps, entries on characters and locations) for Socrates, Plato and their time. By clicking on the minimap at the beginning of the entry, you can go to a full size map in which the city or location appears. For more information on the structure of entries and links available from them, read the notice at the beginning of the index of persons and locations Large island off the coast of Asia Minor, south of Lesbos , and main city on that island (area 7) Chios was a member city of the Ionian Confederacy, the

15. §Æªi§J©Ô©³¡]Hippocrates Of Chios, ¤½¤¸«e5¥@¬ö¤U¥b¸­¡^ The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www.edp.ust.hk/math/history/3/3_79.htm

§Æªi§J©Ô©³¡]Hippocrates of Chios, ¤½¤¸«e5¥@¬ö¤U¥b¸­¡^ ¡@¡@§Æ¾¼Æ¾Ç®a¡B¤Ñ¤å¾Ç®a¡C¥Í©ó§Æ«X´µ¡A¤½¤¸«e 5¥@¬ö¤U¥b¸­¬¡°Ê©ó¶®¨å¡C¦­¦~¸g°Ó¡A¤£©¯¸¨¤J®ü µs¤§¤â¡A°]²£³à¥¢¬pºÉ¡C¬°¶D³^©M¬d³X¡A¦b¶®¨å¦í ¤F«Üªø®É¶¡¡A¨ä¶¡±`¨ì¾Ç®ÕÅ¥½Ò¡C«á±q¨Æ´X¦ó¾Ç¬ã ¨s¡A°µ¥X«Ü¤j°^Äm¡C ¡@¡@¦¹¥~¡A¥L¦b¤Ñ¤å¾Ç¤¤ÄÄ­z¤F¤@ºØ±k¬P²z½×¡AÁÙ ´£¥X¤@ºØ»Èªe¬P¨t§Î¦¨ªº¾Ç»¡¡C

16. ¤Hª« (Zeno of Elea), ?(Archytas of Tarentum).?(hippocrates of chios), ?(Plato). http://www.edp.ust.hk/math/history/3/

ªð¦^¥D­¶ ¼Æ¾Ç¥v¦~ªí ¤¤¥~¼Æ¾Ç¥v ¤Hª« »y¿ý ¾Ç¬ì¥v ¦WD»P²q·Q ÄvÁÉ»P¼ú¶µ µØ»y¤åÄm¯Á¤Þ ¾¥¤l ´f¬I ±i»a ¼BÝõ ... §JµÜ¦] ¡A¢Û¡D¢Û¡D¡]Kline, Morris¡^

17. Encyclopædia Britannica hippocrates of chios Encyclopædia Britannica Article. To cite this page MLA style hippocrates of chios. 2003 Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=41418

18. CUBEBS hippocrates of chios (c. 430 Bc), the discoverer of the square of a lune, showedthat’the problem reduced to the determination of two mean proportionals http://83.1911encyclopedia.org/C/CU/CUBEBS.htm

document.write(""); CUBEBS being the Historiafi’sica y polWca, and also the earlier work on which they are based, Historia económica-pol’ltica y estadistica de - . Cuba (Havana, 1831); treatises on administrative law in Cuba by J. M. Morilla (Havana, 1847; 2nd ed., I865, 2 vols.) and Pt. Govin (~ vols., Havana, f882—I883); A. S. Rowan and M. M. Ramsay, The Island of Cuba (New York, 1896); Coleccion de rca/es ordenes, decretos y disposiciones (Havana, serial, 1857—f 898); Spanish Rule in Cuba. Laws Governing the Island. Reviews Published by the Coloisiai Office in Madrid - - - (New York, for the Spanish legation, 1896); and compilations of Spanish colonial laws listed under, article INDIEs, LAWS OF TIlE. On the new Republican régime: Gaceta Oficial (Havana, 1903— ); reports of departments of government; M. Romero Palafox, Agenda de la republita de Cuba (Havana, 1905). See also the Civil Reports of the United States military governors, J. R. Brooke (2 vols., 1899; Havana and Washington, 1900), L. Wood (33 vOls., 1900f902; Washington, 1901—1902). History.—The works (see above) of Sagra, Humboldt and Arango are indispensable; also those of Francisco Calcagno, Diccionarw biogrdfico Cubano (ostensibly, New York, 1878); Vidal Morales y Morales, Iniciadores y primeros mdrtires de Ia revoiución Cabana (Havana, 1901); Jose Ahumada y Centurion, Memoria histórica politica de - - . Cuba (Havana, 1874); Jacobo de Ia Pezuela, Diccionario geogrdfico-estadistico-histôrico de - . - Cuba (4 tom., Madrid, 1863—1866); Historia de - - - Cuba, (4 tom., Madrid, 1868—1878; supplanting his Ensayo histórico de - . . Cuba, Madrid and New York, 1842); and José Antonio Saco, Obras (2 vols., New York, 1853), Papeles (3 tom., Paris, 1858—1859), and Coleccion ~ostuma de Papeles (Havana, 1881). Also: Rodriguez Ferrer, op. cit. above, vol. 2 (Madrid, 1888); P. G. Guitéras, Historia de

19. Title hippocrates of chios Ca. 470 BCE to 410 BCE A Pythagorean, Hippocrates ofChios spent many years in Athens studying and teaching mathematics. http://www.math.uvic.ca/courses/math415/Math415Web/greece/gmen/hippotext.html

HIPPOCRATES OF CHIOS Ca. 470 BCE to 410 BCE A Pythagorean , Hippocrates of Chios spent many years in Athens studying and teaching mathematics. Hippocrates is said to have been a brilliant mathematician, but naïve and absent-minded when dealing with day to day affairs. Hippocrates' major contribution to mathematics was his book, entitled Elements . Undoubtedly one of the influences for Euclid 's Elements , Hippocrates was the first person to compile a comprehensive book on elementary demonstrative geometry. In doing so, he helped to popularize the ideas of an axiomatic treatment of geometry, which would last until the present day. Hippocrates was also interested in squaring the circle, and in duplicating the cube. He discovered that lunes, or crescent shapes could be squared, and is suspected to be partly responsible for Eudoxus ' method of exhaustion, although this can not be proved due to the fact that Hippocrates' work has not survived.

20. ThinkQuest Library Of Entries Chios is the main city of Lesbos. Chios was the birthplace of the great mathematician,hippocrates of chios (not the same as the physician Hippocrates of Cos). http://library.advanced.org/26264/tools/map/site003.htm

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Elysium , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Elysium click here Back to the Previous Page The Site you have Requested ... Elysium click here to view this site A ThinkQuest Internet Challenge 1999 Entry Click image for the Site Languages : Site Desciption "Elysium" takes as its starting point Greek Mythology and Antiquity. The site is divided into three sections in which Elysium is illustrated like a cartoon (original drawings especially made for this site). Since the section is interactive, you play an active part in what happens. The Newcomer Section introduces you to the mythical world of Ancient Greece, The Student Section contains all the myths in detail, and the Teacher Section features guidelines for classroom teaching . Students Sandra Aarhus Katedralskole Denmark Søren Aarhus Katedralskole Denmark Jesper Aarhus Katedralskole Denmark Coaches Thomas Denmark Frantz Lars Scheibel Denmark

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

Page 1     1-20 of 100    1  | 2  | 3  | 4  | 5  | Next 20