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	Euclid of Megara - Wikipedia, the free encyclopedia
		Euclid of Megara, a Greek Socratic philosopher who lived around 400 BC, founded the Megarian school of philosophy.
		Euclid was born in Megara, but in Athens he became a follower of Socrates.
		Euclid had three important pupils: Eubulides of Miletus, Ichtyas – the second leader of the Megarian school – and Thrasymachus of Corinth.
	en.wikipedia.org /wiki/Euclides (256 words)

	Euclid - Crystalinks
		During the middle ages, Euclid was often identified as Euclid of Megara, due to a confusion with the Socratic philosopher of around 400 B.C. All accounts of Euclid describe him as a kind, fair, patient man who quickly helped and praised the works of others.
		Euclid quickly called to his slave to give the boy a coin because "he must make gain out of what he learns." Another story relates that Ptolemy asked the mathematician if there was some easier way to learn geometry than by learning all the theorems.
		Euclid's Phaenomena is a tract on sphaeric, the study of spherical geometry for the purpose of explaining planetary motions.
	www.crystalinks.com /euclid.html (1856 words)

	Euclid of Alexandria
		Euclid and Demetrius Phalereus were invited to open the mathematical school and to take charge of the library, respectively, at the Museum and Library at Alexandria.
		Euclid thus compiled the Elements as an elementary mathematics textbook covering arithmetic (number theory), synthetic geometry and the theories of proportion and of irrational lines.
		This Euclid, Euclid of Megara, lived around 400 B.C.E. and was actually a pupil of Socrates who founded a philosophical school, which Plato did not like.
	www.math.sfu.ca /histmath/Europe/Euclid300BC/euclidmain.html (538 words)

	euclid
		That Euclid was a historical character, known as Euclid of Alexandria, born about 325 BC and died about 265 BC in Alexandria, Egypt, who wrote the Elements and the other works attributed to him.
		That Euclid was not a historical character and that The Elements were written by a team of mathematicians at Alexandria who took the name Euclid from the historical character of Euclid of Megara who had lived about 400 BC.
		Euclid's achievement was so great that even in the Middle Ages, when mathematics was all but forgotten, and only handful of copies were preserved by the Arab mathematicians and later translated to Latin and even later to vernacular languages, myths were circulating among the masons and builders in England.
	www.mathsisgoodforyou.com /people/euclid.htm (394 words)

	Euclid - Biocrawler (Site not responding. Last check: 2007-10-22)
		Euclid of Alexandria (Greek: Εὐκλείδης;) (circa 365–275 BC) was a Greek mathematician, now known as "the father of geometry".
		Within it, the properties of geometrical objects and integers are deduced from a small set of axioms, thereby anticipating (and partly inspiring) the axiomatic method of modern mathematics.
		Euclid also wrote works on perspective, conic sections, spherical geometry, and possibly quadric surfaces.
	www.biocrawler.com /encyclopedia/Euclid (799 words)

	Euclid
		Euclid was born in Alexandria in 325 B.C., he later died in Alexandria after living an average or above average lifetime for the time he lived in.
		Although many of Euclid's system no longer compares to or meets the modern requirements of logical rigor, his contribution is still undeniably one of the greatest in the history of geometry.
		During the middle ages, Euclid was also known as Euclid of Megara, this confusion was due to the Socratic Philosopher who lived around 400 B.C. Euclid was known as having a good reputation as well as being a kind individual; this information survives through famous stories, which are told about him still today.
	www.stegen.k12.mo.us /tchrpges/sghs/aengelmann/Euclid.htm (277 words)

	Euclid (print-only)
		In fact Euclid was a very common name around this period and this is one further complication that makes it difficult to discover information concerning Euclid of Alexandria since there are references to numerous men called Euclid in the literature of this period.
		Euclid must have studied in Plato's Academy in Athens to have learnt of the geometry of Eudoxus and Theaetetus of which he was so familiar.
		None of Euclid's works have a preface, at least none has come down to us so it is highly unlikely that any ever existed, so we cannot see any of his character, as we can of some other Greek mathematicians, from the nature of their prefaces.
	www-groups.dcs.st-and.ac.uk /history/Printonly/Euclid.html (2747 words)

	Euclid
		Euclid of Alexandria is thought to have lived from about 325 BC until 265 BC in Alexandria, Egypt.
		Euclid was a very common name at that time, so it was hard to distinguish one Euclid from another.
		Euclid of Alexandria, whose chief work, Elements, is a comprehensive treatise on mathematics in thirteen volumes on such subjects as plane geometry, proportion in general, the properties of numbers, incommensurable magnitudes, and solid geometry.
	www.freeessays.cc /db/30/mdg15.shtml (598 words)

	Euclid Of Alexandria
		Euclid of Alexandria was confused with Euclid of Megara for a while, who was also a mathematician.
		Euclid was a popular name back then, so he was confused with a lot of Euclid's of that time.
		Euclid’s ideas have changed a lot of things now, software is much easier to use now that we have Euclid’s shapes to design chips and other parts of a computer.
	derrel.net /math/euclid/euclid.htm (596 words)

	Euclid - Gurupedia
		Euclid of Alexandria (Greek: Eukleides) (circa 365-275 BC) was a Greek
		Euclid of Alexandria has occasionally been confused with the philosopher Eukleides (Euclid) of Megara who lived about a century earlier.
		Euclid is also a programming language developed at the University of Toronto by Holt et al, originally for the Motorola 6809 microprocessor.
	www.gurupedia.com /e/eu/euclid.htm (421 words)

	Euclid
		One of the most interesting things about Euclid is that not all historians agree that he was a real person.
		Euclid is best known for his work The Elements, which is a series of thirteen mathematics volumes.
		Their code name of Euclid most likely came from Euclid of Megara, a historical figure who lived about a hundred years earlier.
	sps.k12.mo.us /phs/jpetersen/projects/mathematicians/euclid.htm (595 words)

	Chapter 2 : Number Relationships and Fractions : Euclid (Site not responding. Last check: 2007-10-22)
		Euclid of Alexandria was probably born in Greece around 325 B.C. and most likely taught in Alexandria, Egypt.
		Another man, Euclid of Megara was a philosopher who lived one hundred years earlier and is often confused with Euclid of Alexandria.
		Euclid's primary contribution to the field of mathematics is that he clearly stated and proved mathematical theorems, summarizing the knowledge of the time.
	www.classzone.com /books/math_cs1/page_build.cfm?content=links_app1_ch2&ch=2 (351 words)

	Euclid biography
		He argued that the reference to Euclid was added to Archimedes book at a later stage, and indeed it is a rather surprising reference.
		The picture of Euclid drawn by Pappus is, however, certainly in line with the evidence from his mathematical texts.
		We have two treatises on music which have survived, and have by some authors attributed to Euclid, but it is now thought that they are not the work on music referred to by Proclus.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Euclid.html (3021 words)

	Greek For Euclid: Contents
		The best and earliest sources for Euclid seem to be a Vatican parchment of the 10th century, discovered by Peyrard in 1808, and some earlier palimpsests in the British Museum from the 7th and 8th centuries.
		In the rise of modern physical science in the 17th century, Euclid was considered part of the new science, not part of the discredited scholastic Aristotelian science that had proved erroneous and infertile.
		Euclid was regarded as fundamental in the training of a scientist, its mood and rigour lying at the root of the new scientific method, in which experimental facts provided the postulates and also guaranteed their validity.
	www.du.edu /~etuttle/classics/nugreek/contents.htm (3319 words)

	Euclid - Article from FactBug.org - the fast Wikipedia mirror site
		Euclid of Alexandria (Greek:) (circa 365–275 BC) was a Greek mathematician, now known as "the father of geometry".
		This is somewhat related to the fact that there was a Euclid of Megara who lived about 100 years earlier.
		Most of these investigations centered around an attempt to prove Euclid's fifth postulate from his other postulates (what we would today call axioms); essentially, showing that the fifth postulate was in actual fact a theorem.
	www.factbug.org /cgi-bin/a.cgi?a=9331 (575 words)

	Search Results for Euclid
		Theon's version of Euclid's Elements (with textual changes and some additions) is thought to have been written with the assistance of his daughter Hypatia and was the only Greek text of the Elements known, until an earlier one was discovered in the Vatican in the late 19th century.
		Euclid then goes on to prove theorems which look to a modern mathematician as if magnitudes are vectors, integers are scalars, and he is proving the vector space axioms.
		Euclid and Aristaeus wrote about the general hyperbola but only studied one branch of it while the hyperbola was given its present name by Apollonius who was the first to study the two branches of the hyperbola.
	www-history.mcs.st-and.ac.uk /Search/historysearch.cgi?SUGGESTION=Euclid&CONTEXT=1 (14996 words)

	Euclid of Megara
		Euclid of Megara, a friend and student of Socrates, didn't let that keep him from visiting his teacher.
		He went at night, clothed in gaudy women's clothing, from Megara to Athens, and in the morning, before it was day, went his 20,000 steps back home again.
		Euclid (or Eucleides) of Megara, a Greek Socratic philosopher who lived around 400 BC, founded the Megarian school of philosophy.
	www.mlahanas.de /Greeks/Bios/EuclidOfMegara.html (362 words)

	Euclid of Megara, Greece, ancient history
		Euclid used Socrates thesis that virtue is knowledge while the universe is changeless and can only be understood through philosophy.
		He was said to have found Socrates teachings so interesting that even though full blown war was going on he disguised himself as a woman and walked 40 kilometres to Athens everyday to listen to him, returning the same way in the evening.
		The texts, photographs, drawings and animations may not be copied and displayed in any way without written permission.
	www.in2greece.com /english/historymyth/history/ancient/euclid_megara.htm (103 words)

	Euclid 2 (Site not responding. Last check: 2007-10-22)
		Euclid lived in Alexandria, Egypt around 300 B.C. His life is estimated from 375 B.C.- 225 B.C. He most likely received his education from Plato's Academy in Athens.
		The third hypotheses is that there was a Euclid of Megara who lived 100 years before Euclid of Alexandria was heard of.
		Euclid of Alexandria did not exist at all.
	www.stegen.k12.mo.us /tchrpges/sghs/aengelmann/Euclid2.htm (156 words)

	Euclid of Megara (philosopher) - Search Results - MSN Encarta
		Euclid of Megara (philosopher) - Search Results - MSN Encarta
		about 300 bc), Greek philosopher and founder of the Megarian school of philosophy, born in Megara.
		Get more results for "Euclid of Megara (philosopher)"
	uk.encarta.msn.com /Euclid_of_Megara_(philosopher).html (119 words)

	Introduction to the works of Euclid (Site not responding. Last check: 2007-10-22)
		During the middle ages, Euclid was often identified as Euclid of Megara, due to a confusion with the Socratic philosopher of around 400 B.C. Euclid enjoys a reputation as a fair, forthright, and kind individual.
		Secondly, since Euclid bases his entire geometry on points, straight lines, and circles (and thus construction by straight-edge and compass alone), the so-called three famous problems of Greek mathematics -- squaring the circle, doubling the cube, and trisecting the angle -- are not to be found in the work.
		Euclid decided not to use another popular definition of parallel lines as straight lines which are everywhere equidistant from one another.
	www.obkb.com /dcljr/euclid.html (9104 words)

	HighBeam Encyclopedia - Euclid of Megara (Site not responding. Last check: 2007-10-22)
		EUCLID OF MEGARA [Euclid of Megara], c.450-c.375 BC, Greek philosopher, a disciple of Socrates and traditional founder of the Megarian school.
		He combined the Eleatic doctrine of the unity of being with the Socratic teaching that virtue is knowledge.
		Find newspaper and magazine articles plus images and maps related to "Euclid of Megara" at HighBeam.
	www.encyclopedia.com /html/E/EuclidMe.asp (109 words)

	Euclid's Geometry: Erhard Ratdolt (Site not responding. Last check: 2007-10-22)
		This Latin translation of Euclid's Elements, like many before it, had come partly from hand copies (manuscripts) of Arabic translations of hand copies of the Greek original, and partly from other Latin translations and Greek versions.
		In fact, Heath (History, 78) describes Campanus' translation as a re-written version of Euclid: "Campanus (13th c.) was a mathematician, and it is likely enough that he allowed himself the same liberty" i.e.
		Ratdolt made the mistake that many of those who followed him would make by calling Euclid, "Euclid of Megara," thereby confusing him with the ancient Greek philosopher of the same name from Megara.
	mathforum.org /geometry/wwweuclid/print.htm (211 words)

	Euclides [Internet Encyclopedia of Philosophy] (Site not responding. Last check: 2007-10-22)
		Euclides was a native of Megara, and founder of the Megarian or Eristic sect.
		He applied himself early to the study of philosophy, and learned from the writings of Parmenides the art of disputation.
		It is likely that this provoked a separation between Euclides and Socrates, for after this Euclides was the head of a school in Megara which taught the art of disputation.
	www.utm.edu /research/iep/e/euclides.htm (396 words)

	cars - Euclid
		The reason that such a proof was so highly sought after for so many years was because while Euclid's other postulates appeared simple, self evident, and intuitively obvious, the fifth postulate essentially described the intersection of lines at potentially infinite distances––the concept of infinity being at the time, at least mathematically, problematic.
		Thus, the fifth postulate appeared as something of a blemish on the otherwise seemingly flawless logical edifice that was Euclid's Elements.
		While Elements was used into the 20th century as a geometry textbook and has been considered a fine example of the formally precise axiomatic method, Euclid's treatment does not hold up to modern standards and some logically necessary axioms are missing.
	www.carluvers.com /cars/Euclid (474 words)

	Math Forum Discussions
		tradition was Euclid of Megara, a contemporary of Plato.
		Euclid, we could well conclude that he was also confused about the
		Proclus adequate to establish the historicity of Euclid or the
	mathforum.org /kb/thread.jspa?messageID=1175747&tstart=0 (2296 words)

	Euclid - Webled.com
		[ from the historical character Euclid of Megara who had lived about 100 ]...
		[ Project Euclid is a user-centered initiative to create an environment ]...
		[ Euclid is a city rich in history, tradition, and diversity.
	www.webled.com /Euclid.htm (289 words)

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