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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

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
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
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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
##### 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
##### 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
##### 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
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

 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

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

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http://www.edp.ust.hk/math/history/3/3_79.htm

16. ¤Hª«
(Zeno of Elea), ?(Archytas of Tarentum).?(hippocrates of chios), ?(Plato).
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 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

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).
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