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Topic: Euclid of Alexandria

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	Euclid - Wikipedia, the free encyclopedia
		Euclid also wrote works on perspective, conic sections, spherical geometry, and possibly quadric surfaces.
		What little biographical information we do have comes largely from commentaries by Proclus and Pappus of Alexandria: he was active at the great library in Alexandria and may have studied at Plato's Academe in Greece, but his exact lifespan and place of birth are unknown.
		Euclid's elements, with the original Greek and an English translation on facing pages (includes PDF version for printing) (only the first nine books).
	en.wikipedia.org /wiki/Euclid_of_Alexandria (730 words)

	Euclid
		Euclid of Alexandria (Greek: Eukleides) (circa 365-275 BC) was a Greek mathematician who lived in the 3rd century BC in Alexandria.
		The geometry of Euclid was known for ages as "the" geometry, but is nowadays referred to as Euclidean geometry.
		Euclid of Alexandria has occasionally been confused with the philosopher Eukleides of Megara[?] who lived about a century earlier.
	www.ebroadcast.com.au /lookup/encyclopedia/eu/Euclid.html (313 words)

	Euclid - Crystalinks
		Euclid of Alexandria is the most prominent mathematician of antiquity best known for his treatise on mathematics The Elements.
		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 of Alexandria, author of the most successful mathematics textbook ever written and with the exception of Autolycusí Sphere, is author of the oldest Greek mathematical treatise extant.
		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.
	www.math.sfu.ca /histmath/Europe/Euclid300BC/euclidmain.html (538 words)

	Alexandria
		One of the earliest inhabitants was the geometer and number-theorist Euclid.
		Alexandria seems from this time to have regained its old prosperity, commanding, as it did, an important granary of Rome; this fact, doubtless, was one of the chief reasons which induced Augustus to place it directly under imperial power.
		Alexandria consisted originally of little more than the island of Pharos, which was joined to the mainland by a mole nearly a mile long and called the Heptastadion ("seven stadia" — a stadium was a Greek unit of length measuring approximately 200m).
	www.governpub.com /Capitals-A/Alexandria.php (4173 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 of Alexandria (Site not responding. Last check: 2007-10-30)
		Euclid of Alexandria was born about 325 BC and he died about 265 BC He is called the Father of Geometry, and is best known for his treatise on mathematics, The Elements.
		Euclid most likely came from a rich family, because as a young child, he went to Plato’s school in ancient Greece, where only the rich were educated.
		Euclid’s postulates led to Euclidean Geometry, and it wasn’t until the 19th century that they were dropped, and non-Euclidean geometry was studied.
	www.edu.pe.ca /kish/Grassroots/math/euclid.htm (438 words)

	Euclid of Alexandria
		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.engineering.com /content/ContentDisplay?contentId=41003010 (2757 words)

	Euclid (Site not responding. Last check: 2007-10-30)
		Euclid replied, "There is no royal road to geometry" and sent the king to study.
		Euclid is known as the "father of geometry", and is one of the most influential and best read mathematicians of all time.
		Euclid chose his postulates carefully, by picking only the most basic and self-evident propositions as the basis of his work.
	www.andrews.edu /~calkins/math/biograph/199899/topeucl2.htm (588 words)

	Euclid
		Euclid did his work in the great library and university King Ptolemy built called the Museum -- because it was a temple in honor of the "Muses" or goddesses who inspired practitioners of the arts and sciences.
		At the Museum, Euclid churned away at points and lines and axioms and postulates, and of course his special proof of the Pythagorean theorem, which is that in any right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
		Euclid's work with the primes and the irrational numbers dissuaded him from the investigation of infinity and even today, after 2500 years no one can exactly define the role of infinity in mathematics.
	www.angelfire.com /ks/learning/euclid.html (807 words)

	Euclid
		Euclid is one of the world's most famous mathematicians, yet very little is known of his life, except that he taught at Ptolemy’s university at Alexandria, Egypt.
		Euclid's Elements are remarkable for the clarity with which the theorems and problems are selected and ordered.
		Euclid is not known to have made any original discoveries, and the Elements is based on the work of the people before him, like Exodus, Thales, Hippocrates, and Pythagoras.
	library.thinkquest.org /4116/History/euclid.htm (292 words)

	euclid - Article and Reference from OnPedia.com
		Euclid of Alexandria (Greek:) (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.
		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.onpedia.com /encyclopedia/Euclid (463 words)

	[No title]
		Some claimed that Euclid was a name that a group of mathematicians from Alexandria used for the author of their work.
		Others say that Euclid was the leader of a group at Alexandria that led to all of his publications and also many with his name after his death.
		Euclid will always be remembered as the first mathematician to join many different aspects of math into a complete step by step process.
	www.southernct.edu /~pinciuv/mat530pr1.html (1109 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's Geometry: Alexandria in Egypt
		Alexandria was founded in 332 B.C.E. by Alexander the Great on the site of a small fishing village.
		In order to enrich the collection Ptolemy III issued an order that all travellers disembarking at Alexandria must deposit any books contained in their baggage, which, if required, were taken by the Library, the owner receiving in exchange an official certified copy.
		Scholars seem to agree that Euclid's work was partially original and partially just a collection and organization of the work of many other mathematicians.
	mathforum.org /geometry/wwweuclid/alexandria.htm (474 words)

	Euclid (Site not responding. Last check: 2007-10-30)
		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)

	10.8. Euclid (330?-275? B.C.)
		Euclid is one of the most influential and best read mathematician of all time.
		In his time, many of his peers attacked him for being too thorough and including self-evident proofs, such as one side of a triangle cannot be longer than the sum of the other two sides.
		Today, most mathematicians attack Euclid for the exact opposite reason that he was not thorough enough.
	web01.shu.edu /projects/reals/history/euclid.html (805 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 mathematician picture math gift shirt mathematicians famous
		Pictured over Euclid's right shoulder is a small drawing which is taken from Euclid's proof of the right angled triangle which has come to be known as the theorem of Pythagoras.
		Euclid's proof of this theorem relies on most of his 46 theorems which preceded this proof.
		Euclid's geometry was one of construction, and the circle and radius were central elements to Euclid's constructions.
	www.mathematicianspictures.com /Mathematicians/Euclid.htm (499 words)

	Math 7
		Euclid was born around 325 BC and died around 265 BC.
		Also another group of people think the complete works of Euclid were written by a team of mathematicians.
		There are people that say Euclid was an historical character and like always there are people that disagree with that.
	www.mathwithmrherte.com /math_7.htm (490 words)

	Euclid (Site not responding. Last check: 2007-10-30)
		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.
		The second hypothesis is that Euclid was the leader of a team of mathematicians, most likely working in Alexandria.
	sps.k12.mo.us /phs/jpetersen/projects/mathematicians/euclid.htm (595 words)

	The Great Library of Alexandria
		Pappus of Alexandria, who lived around the time of Roman emperor Theodosius, was the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry.
		In some ways perhaps most amazing of all was Heron, or Hero of Alexandria, from the 1st century A.D. His writings indicate that he taught at the Mouseion since they they look like lecture notes from courses he must have given there on mathematics, physics, pneumatics, and mechanics.
		Church hostility is certainly implicated, but whatever the precise motivation, the departure from Alexandria of so many scholars around this time marked the beginning of its decline as a major centre of ancient learning.
	www.geocities.com /apollonius_theocritos/page04.html (2100 words)

	Chapter 2 : Number Relationships and Fractions : Euclid (Site not responding. Last check: 2007-10-30)
		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
		In the first proposition, Proposition 1, Book I, Euclid shows that, using only the postulates and common notions, it is possible to construct an equilateral triangle on a given straight line.
		Using the postulates and common notions, Euclid, with an ingenious construction in Proposition 2, soon verifies the important side-angle-side congruence relation (Proposition 4).
		Euclid uses the method of proof by contradiction to obtain Propositions 27 and 29.
	math.furman.edu /~jpoole/euclidselements/euclid.htm (830 words)

	EUCLID (Site not responding. Last check: 2007-10-30)
		Euclid wrote the classical book 'The Elements', a collection of geometrical theorems which became a standard work for over 2000 years.
		Euclid lived in Alexandria where he founded the first school of mathematics.
		Euclid proved the number of primes, numbers which are divisible only by themselves and one, to be infinite.
	www.hyperhistory.com /online_n2/people_n2/persons2_n2/euclid.html (74 words)

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