1. Hippias Concise scholarly biography of this discoverer of the quadratrix, from the MacTutorHistory of Mathematics. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hippias.html

Hippias of Elis Born: about 460 BC in Elis, Peloponnese, Greece Died: about 400 BC Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Hippias of Elis was a statesman and philosopher who travelled from place to place taking money for his services. He lectured on poetry, grammar, history, politics, archaeology, mathematics and astronomy. Plato describes him as a vain man being both arrogant and boastful, having a wide but superficial knowledge. Heath tells us something of this character when he writes in [3]:- He claimed ... to have gone once to the Olympian festival with everything that he wore made by himself, ring and sandal engraved , oil-bottle, scraper, shoes, clothes, and a Persian girdle of expensive type; he also took poems, epics, tragedies, dithyrambs, and all sorts of prose works. As to Hippias's academic achievements, Heath writes:- He was a master of the science of calculation, geometry, astronomy, 'rhythms and harmonies and correct writing'. He also had a wonderful system of mnemonics enabling him, if he once heard a string of fifty names to remember them all. A rather nice story, which says more of the Spartans than it does of Hippias, is that it was reported that he received no payment for the lectures he gave in Sparta since [3]:-

2. Hippias [Internet Encyclopedia Of Philosophy] Hippias (5th cn. BCE.) A Greek sophist of Elis and a contemporary of Socrates. He taught in the towns of Greece, especially at Athens. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Quadratrix The quadratrix was discovered by hippias of elis in 430 BC. hippias of eliswas a statesman and philosopher who travelled from place to place taking http://www-groups.dcs.st-and.ac.uk/~history/Curves/Quadratrix.html

Quadratrix of Hippias Cartesian equation: y x cot x a Polar equation: r a sin( Click below to see one of the Associated curves. Definitions of the Associated curves Evolute Involute 1 Involute 2 ... Caustic curve wrt another point If your browser can handle JAVA code, click HERE to experiment interactively with this curve and its associated curves. The quadratrix was discovered by Hippias of Elis in 430 BC. It may have been used by him for trisecting an angle and squaring the circle. The curve may be used for dividing an angle into any number of equal parts. Later it was studied by Dinostratus in 350 BC who used the curve to square the circle. Hippias of Elis was a statesman and philosopher who travelled from place to place taking money for his services. Plato describes him as a vain man being both arrogant and boastful. He had a wide but superficial knowledge. His only contribution to mathematics seems to be the quadratrix. Other Web sites: Xah Lee M D Huberty Main index Famous curves index ... Search Form JOC/EFR/BS January 1997 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Curves/Quadratrix.html

4. Hippias hippias of elis http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. HIPPIAS OF ELIS - LoveToKnow Article On HIPPIAS OF ELIS hippias of elis, Greek sophist, was born about the middle of the 5th century nc.and was thus a younger contemporary of Protagoras and Socrates. http://22.1911encyclopedia.org/H/HI/HIPPIAS_OF_ELIS.htm

HIPPIAS OF ELIS HIPPIAS OF ELIS represent the attitude of serious thinkers to the growing influence of the professional Sophists. There is, however, no question that Hippias did a real service to Greek literature by insisting on the meaning of words, the value of rhythm and literary style. He is credited with an excellent work on Homer, collections of Greek and foreign literature, and archaeological treatises, but nothing remains except the barest notes. He forms the connecting link between the first great sophists, Protagoras and Prodicus, and the innumerable eristics who brought their name into disrepute. For the general atmosphere in which Hippias moved see SoPffIsTs; also histories of Philosophy (e.g. Windelband, Eng. trans. by Tufts, pt. I, c. 2, f 7 and 8). THEODOR GOTTLIEB VON HIPPEL HIPPO To properly cite this HIPPIAS OF ELIS article in your work, copy the complete reference below: "HIPPIAS OF ELIS." LoveToKnow 1911 Online Encyclopedia. http://22.1911encyclopedia.org/H/HI/HIPPIAS_OF_ELIS.htm Links to this article are encouraged. Please use the following format: See: HIPPIAS OF ELIS at LoveToKnow.

6. Hippias Aus Elis Hippias aus Elis Seite aus einem deutschsprachigen OnlinePhilosophenlexikon. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Hippias Of Elis hippias of elis. This page is part of the tools section of a site, Plato andhis dialogues, dedicated to developing a new interpretation of Plato s http://plato-dialogues.org/tools/char/hippias.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 . . . . WORK IN PROGRESS - PLEASE BE PATIENT . . . To Perseus general lookup encyclopedia mentions in ancient authors 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 First published January 4, 1998 - Last updated December 5, 1998

8. Quadratrix hippias of elis was a statesman and philosopher who travelled from place to place taking money for his services. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Hippias Von Elis - Netlexikon HTMLTag zur Verlinkung dieses Artikels auf Ihrer Website a href="http//www.netlexikon.de/Hippias-. .. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Hippias Of Elis --  Encyclopædia Britannica hippias of elis Sophist philosopher who contributed significantly to mathematicsby discovering the quadratrix, a special curve he may have used to trisect http://www.britannica.com/eb/article-9040537

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Hippias Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Hippias Of Elis  Encyclopædia Britannica Article Page 1 of 1 flourished 5th century BC , , Elis, in the Peloponnese, Greece Sophist philosopher who contributed significantly to mathematics by discovering the quadratrix, a special curve he may have used to trisect an angle. Hippias Of Elis... (75 of 111 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Hippias Of Elis."

11. Hippias Von Elis A Z. Biographie. Autoren. Mythologie. Philosophie. Sentenzen Hippias von Elis, gegen Ende des 5. Jahrhundert v. Chr., aus Elis, Sophist. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Trisecting The Angle: The Quadratrix Of Hippias --  Encyclopædia Britannica Trisecting the Angle The Quadratrix of Hippias hippias of elis (fl. Hippias ofElis (fl. 5th century BC) imagined a mechanical device to divide http://www.britannica.com/eb/article?tocId=9126478

13. Hippias Von Elis - Wikipedia Hippias von Elis http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

14. Hippias D'Elis Sophistes, nous parle d'Hippias d'Elis dans ses dialogues Protagoras, Hippias mineur et Hippias majeur. On y apprend qu'Hippias d'Elis se http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Philosophy: Philosophers: H: Hippias Spirit And Sky hippias of elis. hippias of elis. Concise scholarly biography of this discovererof the quadratrix, from the MacTutor History of Mathematics. http://www.spiritandsky.com/philosophy/philosophers/h/hippias/

Home philosophy philosophers h : hippias Web www.spiritandsky.com Home Search Suggest a Site Submission Guidelines ... h : hippias Links: Hippias Hippias Brief article on this early Sophist, from the Internet Encyclopedia of Philosophy. (Added: Thu Jan 01 2004) ID 113999 Hippias Hippias Wikipedia entry on this ancient polymath, including some material from the 1911 Britannica. (Added: Thu Jan 01 2004) ID 114001 Hippias Biography Hippias Biography Constructed from excerpts from various of Plato's dialogues which mention this Sophist. (Added: Thu Jan 01 2004) ID 114002 Hippias of Elis Hippias of Elis Concise scholarly biography of this discoverer of the quadratrix, from the MacTutor History of Mathematics. (Added: Thu Jan 01 2004) ID 114000 Hippias's Quadratrix Hippias's Quadratrix Some brief notes on Hippias' attempt to square the circle using this curve, "a pictorial representation of the irrationality of pi." (Added: Thu Jan 01 2004) ID 114003 Home philosophy philosophers h : hippias Home Search Suggest a Site Submission Guidelines ... About The Artist permission from spiritandsky.com is strictly prohibited.

16. Hippias Von Elis - Ureda Suche in der Bibliothek 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 Hippias von Elis Siehe unter Sophisten Sophisten http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. Recherche Hippias%20d'Elis Requ te Hippias%20d'Elis http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

18. Personal Names hippias of elis search TmiWeb for this person hippias of elis. More information.Biography by Baldi (from Cronica) http://euromusicology.cs.uu.nl:6334/dynaweb/info/persinfo/persons/@Generic__Book

Expand Search Personal names H Hippias of Elis Hippias of Elis More information Biography by Baldi (from Cronica

19. Brief History Of The Olympic Games According to hippias of elis, who compiled a list of Olympic victors c.400 BC,at first the only According to the tradition of hippias of elis ca. http://www.nostos.com/olympics/

Sydney Olympics - official site Your Comments Brief History of the Olympic Games Ancient Olympic Games Chronology of athletic events added to the Olympic Games Myths and the Olympic Games Pelops myth ... Athens for Olympic Games of 2004 Ancient Olympic Games The Olympic Games begun at Olympia in Greece in 776 BC. The Greek calendar was based on the Olympiad, the four-year period between games. The games were staged in the wooded valley of Olympia in Elis. Here the Greeks erected statues and built temples in a grove dedicated to Zeus, supreme among the gods. The greatest shrine was an ivory and gold statue of Zeus. Created by the sculptor Phidias, it was considered one of the Seven Wonders of the World. Scholars have speculated that the games in 776 BC were not the first games, but rather the first games held after they were organized into festivals held every four years as a result of a peace agreement between the city-states of Elis and Pisa. The Eleans traced the founding of the Olympic games to their King Iphitos, who was told by the Delphi Oracle to plant the olive tree from which the victors' wreaths were made. According to Hippias of Elis, who compiled a list of Olympic victors c.400 BC, at first the only Olympic event was a 200-yard dash, called a stadium. This was the only event until 724 BC, when a two-stadia race was added. Two years later the 24-stadia event began, and in 708 the pentathlon was added and wrestling became part of the games. This pentathlon, a five-event match consisted of running, wrestling, leaping, throwing the discus, and hurling the javelin. In time boxing, a chariot race, and other events were included.

20. History Of Philosophy 6 hippias of elis, a younger contemporary of Protagoras, was preeminent even amongthe Sophists for the vanity with which he paraded his proficiency in http://www.nd.edu/Departments/Maritain/etext/hop06.htm

Jacques Maritain Center History of Philosophy / by William Turner CHAPTER VI THE SOPHISTS Sophistic philosophy, which constitutes so important a crisis in the history of Greek thought and civilization, was germinally contained in the preceding systems. Atomistic materialism culminated in the Sophism of Protagoras; the doctrines of Heraclitus paved the way to Scepticism, as was demonstrated by Cratylus, the teacher of Plato; and Gorgias the Sophist merely carried to excess the dialectic method introduced by Zeno the Eleatic. All these schools Atomistic, Heraclitean, Eleatic had, as has been said, attacked by the aid of specious fallacies the trustworthiness of common consciousness, so that until Socrates appeared on the scene to determine the conditions of scientific knowledge no positive development of philosophy was possible. Meantime there was nothing left but to deny the possibility of attaining knowledge. And that is what the Sophists did: they are the first Sceptics of Greece. There was, then, an inevitable tendency on the part of the prevalent philosophy to culminate in Scepticism. Besides, the

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