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- 313 bytes (48 words) - 14:58, 7 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Euclid's lemma]]. Needs checking by a human. {{r|Euclid}}480 bytes (62 words) - 16:24, 11 January 2010
- 12 bytes (1 word) - 23:26, 23 February 2008
- * Euclid., Casey, John. ''The First Six Books of the Elements of Euclid'' (1885) [http://www.gutenberg.org/etext/21076 full text of first six books * Euclid, Heath, Thomas L. ''The Thirteen Books of Euclid's Elements'', translated by Thomas L. Heath, 3 volumes, originally publishe755 bytes (107 words) - 06:34, 14 January 2020
- 12 bytes (1 word) - 12:53, 18 December 2007
- ...ometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria circa 300 BC.165 bytes (20 words) - 07:07, 4 September 2009
- 12 bytes (1 word) - 18:28, 27 January 2008
- 127 bytes (20 words) - 07:08, 4 September 2009
- 32 bytes (3 words) - 18:44, 6 May 2007
- ...d's lemma''', named after the ancient Greek geometer and number theorist [[Euclid]] of [[Alexandria]], states that if a [[prime number]] ''p'' is a [[divisor Euclid's lemma is used in the proof of the [[unique factorization theorem]], which2 KB (322 words) - 12:51, 18 December 2007
- 32 bytes (3 words) - 15:00, 8 August 2007
- ...the study and teaching of mathematics in the West. Also in other fields [[Euclid]]'s work led the way. The philosopher [[Baruch Spinoza|Spinoza]] wrote his {{Image|Euclids parallel axiom.png|right|250px|Euclid's parallel axiom. In the upper figure the angles α and β are equ8 KB (1,314 words) - 11:25, 13 January 2020
- #REDIRECT [[Euclid's Elements]]31 bytes (3 words) - 16:36, 16 February 2008
- ...tric]] and [[arithmetic]] knowledge of his times in thirteen Books—[[Euclid's elements]] (Στοιχεία). ...(c. 410–485 CE) in his "summary" of famous Greek mathematicians. Probably Euclid is older than [[Archimedes]] (c. 290/280–212/211 BCE).2 KB (339 words) - 22:18, 14 September 2013
- 125 bytes (17 words) - 06:59, 4 September 2009
- 12 bytes (1 word) - 18:34, 27 January 2008
- * Allman, George J. ''Greek Geometry from Thales to Euclid'' (1976) ...no. ''Euclid - The Creation of Mathematics'' (2001) [http://www.amazon.com/Euclid-Creation-Mathematics-Benno-Artmann/dp/0387984232/ref=pd_bbs_9?ie=UTF8&s=boo746 bytes (93 words) - 22:18, 14 September 2013
- 121 bytes (18 words) - 06:06, 3 September 2008
- Auto-populated based on [[Special:WhatLinksHere/Euclid]]. Needs checking by a human. {{r|Euclid's Elements}}927 bytes (119 words) - 16:24, 11 January 2010
Page text matches
- * Euclid., Casey, John. ''The First Six Books of the Elements of Euclid'' (1885) [http://www.gutenberg.org/etext/21076 full text of first six books * Euclid, Heath, Thomas L. ''The Thirteen Books of Euclid's Elements'', translated by Thomas L. Heath, 3 volumes, originally publishe755 bytes (107 words) - 06:34, 14 January 2020
- #REDIRECT [[Euclid's Elements]]31 bytes (3 words) - 16:36, 16 February 2008
- * Allman, George J. ''Greek Geometry from Thales to Euclid'' (1976) ...no. ''Euclid - The Creation of Mathematics'' (2001) [http://www.amazon.com/Euclid-Creation-Mathematics-Benno-Artmann/dp/0387984232/ref=pd_bbs_9?ie=UTF8&s=boo746 bytes (93 words) - 22:18, 14 September 2013
- *''[[Euclid's elements|Elements]]'' is the title of [[Euclid]]'s mathematical textbook.300 bytes (41 words) - 04:19, 2 September 2009
- Auto-populated based on [[Special:WhatLinksHere/Euclid]]. Needs checking by a human. {{r|Euclid's Elements}}927 bytes (119 words) - 16:24, 11 January 2010
- "Euclid's algorithm": 98% "Euclid's Algorithm": 2%739 bytes (70 words) - 17:12, 10 May 2007
- Auto-populated based on [[Special:WhatLinksHere/Euclid's lemma]]. Needs checking by a human. {{r|Euclid}}480 bytes (62 words) - 16:24, 11 January 2010
- #REDIRECT [[Euclid]]20 bytes (2 words) - 09:55, 23 January 2008
- {{r|Euclid's Elements}}325 bytes (34 words) - 06:57, 22 November 2009
- ...d's lemma''', named after the ancient Greek geometer and number theorist [[Euclid]] of [[Alexandria]], states that if a [[prime number]] ''p'' is a [[divisor Euclid's lemma is used in the proof of the [[unique factorization theorem]], which2 KB (322 words) - 12:51, 18 December 2007
- {{r|Euclid's Elements}} {{r|Euclid}}1,019 bytes (129 words) - 03:09, 8 March 2024
- ...tric]] and [[arithmetic]] knowledge of his times in thirteen Books—[[Euclid's elements]] (Στοιχεία). ...(c. 410–485 CE) in his "summary" of famous Greek mathematicians. Probably Euclid is older than [[Archimedes]] (c. 290/280–212/211 BCE).2 KB (339 words) - 22:18, 14 September 2013
- *''Two Books of Euclid'' (1860) *''Euclid and his modern rivals'' (1879), the book of greatest remaining interest to574 bytes (65 words) - 21:20, 25 October 2009
- Form of geometry first codified by Euclid in his series of thirteen books, ''The Elements''.128 bytes (18 words) - 12:21, 22 January 2009
- ...ometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria circa 300 BC.165 bytes (20 words) - 07:07, 4 September 2009
- {{r|Euclid's Elements}}636 bytes (82 words) - 19:49, 11 January 2010
- ...geometry]] first codified by [[Euclid]] in his series of thirteen books, [[Euclid's Elements|The Elements]].<br>2 KB (177 words) - 03:10, 8 March 2024
- ...mbers has occupied and fascinated many influential mathematicians, notably Euclid, Fermat, and Euler. Also, the search for perfect numbers is still ongoing ...made of them until the final proposition of book 9. In this proposition, Euclid showed that if ''n'' is a whole number for which <math> 2^{n} - 1 </math> i4 KB (677 words) - 19:07, 7 November 2008
- {{r|Euclid's lemma}}969 bytes (124 words) - 18:42, 11 January 2010
- ...e of the shortest. It is already implicit in Book X of [[Euclid's Elements|Euclid's ''Elements'']].2 KB (369 words) - 16:12, 1 February 2010
- {{r|Euclid's lemma}} {{r|Euclid}}2 KB (262 words) - 19:07, 11 January 2010
- {{r|Euclid's Elements}}1 KB (186 words) - 17:23, 11 January 2010
- A result about unique factorization appeared in book IX of [[Euclid]]'s [[Euclid's Elements|Elements]]. However, it did not apply to all whole numbers, but ...and proof this property to [[Carl Friedrich Gauss]] about 2000 years after Euclid. A precise statement and proof may be found on the "advanced" subpage.3 KB (479 words) - 12:12, 9 April 2008
- {{r|Euclid's lemma}}2 KB (247 words) - 17:28, 11 January 2010
- ...the study and teaching of mathematics in the West. Also in other fields [[Euclid]]'s work led the way. The philosopher [[Baruch Spinoza|Spinoza]] wrote his {{Image|Euclids parallel axiom.png|right|250px|Euclid's parallel axiom. In the upper figure the angles α and β are equ8 KB (1,314 words) - 11:25, 13 January 2020
- {{r|Euclid}}566 bytes (74 words) - 16:25, 11 January 2010
- {{r|Euclid}}618 bytes (80 words) - 16:24, 11 January 2010
- {{r|Euclid}}645 bytes (81 words) - 07:45, 8 January 2010
- {{r|Euclid}}639 bytes (84 words) - 17:14, 11 January 2010
- ...first described by [[Euclid]] more than two thousand years ago in his ''[[Euclid's Elements|The Elements]]'' ...artesian coordinates]], to describe points in the plane and in space. In Euclid's geometry there is no origin, all points are equal.9 KB (1,403 words) - 02:22, 14 October 2013
- ...jor street surveyed, [[Euclid Avenue]], was named for the Greek geometer [[Euclid]]. Cleaveland and his crew of surveyors departed after completing their wo2 KB (374 words) - 10:32, 28 June 2023
- ...Suppose it is desired to find the smallest common multiple of 63 and 77. Euclid's algorithm tells us that the greatest common divisor of 63 and 77 is 7. T6 KB (743 words) - 18:42, 2 July 2009
- ...e plane and the geometry are named after the ancient-Greek mathematician [[Euclid]].1 KB (163 words) - 15:47, 25 November 2008
- ...algorithm''', named after the ancient Greek geometer and number-theorist [[Euclid]], is an [[algorithm]] for finding the [[greatest common divisor]] (gcd) of ..., rather than only the remainders, in the divisions we did while executing Euclid's algorithm, we can find ''x'' and ''y''. Here is how:7 KB (962 words) - 12:05, 3 May 2016
- [[Euclid]] states it — somewhat disguised — in his ''[[Elements]]'' as h Since this statement is much less natural or evident than Euclid's other axioms and postulates,5 KB (852 words) - 05:23, 17 April 2010
- ...factors of a number are large, the algorithm above may be inefficient. [[Euclid's algorithm]] does not involve prime factorizations and runs fast in such c4 KB (570 words) - 18:05, 1 July 2009
- T. Heath, A history of Greek mathematics, Vol. I: From Thales to Euclid, Dover, New York, 1981.1 KB (157 words) - 00:48, 1 January 2009
- ...hing between [[axiom]]s (and postulates), definitions, and [[theorem]]s. [[Euclid]], a Greek mathematician living in [[Alexandria]] about 300 BC wrote a 13-v2 KB (232 words) - 03:09, 8 March 2024
- {{r|Euclid}}2 KB (247 words) - 06:00, 7 November 2010
- ...'s elements]]; it greatly rearranged and simplified the propositions of [[Euclid]]'s classical work. Legendre's ''Elements of Geometry'' was to become the6 KB (854 words) - 09:52, 24 July 2011
- ...point out that an alternative approach is possible which does not rely on Euclid's axioms. This approach, which is more advanced in that it needs some know ...nd cos do not depend, for example, on the acceptance or rejection of the [[Euclid's parallel axiom]]. The functions sin and cos can be defined algebraically,19 KB (3,106 words) - 09:53, 10 October 2013
- Euclid showed that every number of the form2 KB (397 words) - 12:24, 14 May 2008
- vocabularies NUMBERS, RELAT_2, RCOMP_1, SPPOL_1, SUBSET_1, EUCLID, TOPREAL1, MATRIX_1, RLTOPSP1, EUCLID, TOPREAL1, GOBOARD1, GOBOARD5, TOPREAL4,9 KB (1,289 words) - 00:39, 24 October 2013
- ...ellenistic mathematician [[Euclid]] details [[geometric]]al algebra in ''[[Euclid's Elements|Elements]]''.]]--> ...[Rhind Mathematical Papyrus]]'', ''[[Sulba Sutras]]'', [[Euclid's Elements|Euclid's ''Elements'']], and ''[[The Nine Chapters on the Mathematical Art]]''. T18 KB (2,669 words) - 08:38, 17 April 2024
- ...dopted the plan of using algebraic signs instead of words, and "Playfair’s Euclid" became well known in most mathematical schools. In 1797 he suffered a seve7 KB (1,158 words) - 14:39, 17 February 2011
- ...many primes, but one of the oldest and most familiar proofs goes back go [[Euclid]]. Euclid proved that for any finite set of prime numbers, there is always another pr14 KB (2,281 words) - 12:20, 13 September 2013
- [[Euclid]] (Εύκλείδες, c. 300 BCE) was a Greek mathematician who worked in3 KB (372 words) - 10:04, 3 January 2024
- * Farndon, John et al. ''The Great Scientists: From Euclid to Stephen Hawking'', Metro Books, New York (2007) pp. 80-83.3 KB (398 words) - 14:05, 28 April 2008
- ...oportion'''. The earliest existing description is found in the Elements of Euclid (Book 5, definition 3): ''A straight line is said to have been cut in extre4 KB (685 words) - 19:54, 1 November 2013
- ...ts name, the Pythagorean comma was first described in the West by [[pseudo-Euclid]] in ''Divisions of the Canon'' (c. 300 [[Common Era|BCE]]). Chinese mathem4 KB (542 words) - 10:12, 28 February 2024
- ...'' are two [[real number]]s specifying a [[point (geometry)|point]] in a [[Euclid|Euclidean]] plane (a 2-dimensional Euclidean point space, an [[affine space4 KB (679 words) - 03:09, 8 March 2024
- which, via Euclid algorithm, leads to:5 KB (743 words) - 13:10, 27 July 2008
- ...ael Underwood|Michael Underwood]] created a [[free particle]] and proved [[Euclid's lemma]].7 KB (1,102 words) - 04:45, 7 March 2024
- ...many primes, but one of the oldest and most familiar proofs goes back go [[Euclid]]. Euclid proved that for any finite set of prime numbers, there is always another pr18 KB (2,917 words) - 10:27, 30 August 2014
- ...36461 Publisher's description:]</u></b> Herophilus, a contemporary of Euclid, practiced medicine in Alexandria in the third century B.C., and seems to h5 KB (786 words) - 19:40, 13 May 2017
- ...d years of development was written down by [[Euclid]] in ''[[The Elements (Euclid)|The Elements]]''. ...n, who made important contributions to geometry, reflected in Book VIII of Euclid's Elements.17 KB (2,671 words) - 23:35, 25 October 2013
- ...reasoning by which Apollonius tied the shape of certain conic sections to Euclid's concept of deficient areas.23 KB (3,849 words) - 06:03, 29 August 2013
- ...reasoning by which Apollonius tied the shape of certain conic sections to Euclid's concept of deficient areas.23 KB (3,852 words) - 20:27, 9 January 2021
- ...1957 ed.), p. 36-40) discusses the table in detail and mentions in passing Euclid's method in modern notation (Neugebauer, op. cit., p. 39)</ref> the triples Euclid IX 21--3435 KB (5,526 words) - 11:29, 4 October 2013
- ...are the stuff of legend. Among the lasting achievements of the Library are Euclid's geometry, along with Greek translation of the Old Testament (although it13 KB (2,038 words) - 15:24, 10 January 2021
- ...the everyday life. The axiomatic method was the main research tool since [[Euclid]] (about 300 BC). The coordinate method (analytic geometry) was added by [[ ...ed "the three-dimensional Euclidean space". Its axiomatization, started by Euclid 23 centuries ago, was finalized in the 20 century by David Hilbert, Alfred28 KB (4,311 words) - 08:36, 14 October 2010
- [[Euclid's Elements]]. This theory had become available only a century before,14 KB (2,123 words) - 13:30, 8 November 2012
- * Circa 300 BC: In Book II of his Elements, [[Euclid]] gives a geometric construction with Euclidean tools for the solution of t8 KB (1,117 words) - 08:22, 5 December 2011
- :: - the mathematics of [[Euclid]] and [[Pythagoras]]9 KB (1,249 words) - 05:40, 19 September 2013
- ...36461 Publisher's description:]</u></b> Herophilus, a contemporary of Euclid, practiced medicine in Alexandria in the third century B.C., and seems to h7 KB (1,020 words) - 20:10, 2 March 2017
- irrationality.</ref> [[Euclid]] gave an algorithm for computing the greatest common divisor of two numbers ([[Euclid's Elements]], Prop. VII.2) and a proof27 KB (4,383 words) - 08:05, 11 October 2011
- ...f the telescope. Dee noted in a preface to Billingsley's translation of ''Euclid'' (1570) what he refers to as '''Perspective glasses''', a term used by Tho ...e to the ''Pantometria'', published the year after John Dee's Preface to ''Euclid'', Thomas noted specifically how his father had observed things with "Persp23 KB (3,546 words) - 19:39, 25 September 2020
- * [[Euclid]] * [[Euclid's elements]]25 KB (3,396 words) - 13:29, 2 April 2024
- as in the following pair which was already known to Euclid:16 KB (2,562 words) - 00:45, 13 October 2009
- [[Image:Ccc-road.jpg|thumb|350px|CCC workers on road construction, Camp Euclid, Ohio 1936 ]]10 KB (1,539 words) - 00:31, 28 February 2014
- <tr><th>Lundi<th>8<td>[[Belus]]<td>[[Scopas]]<td>[[Solon]]<td>[[Euclid]]<td>[[Pericles]]13 KB (1,941 words) - 12:56, 2 March 2013
- ...influenced by thinkers such as [[Descartes]]<ref name=tws07dec114/> and [[Euclid]]<ref name=tws908>{{cite news ...esolved obscurities and has a forbidding mathematical structure modeled on Euclid's geometry.<ref name=tws908/> But his philosophy attracted believers such a63 KB (10,232 words) - 16:14, 25 March 2010
- # [[Euclid]]12 KB (1,457 words) - 08:39, 22 April 2024
- ...tism.<ref name="Farndon">Farndon, John et al. ''The Great Scientists: From Euclid to Stephen Hawking'', Metro Books, New York (2007) pp. 82 </ref> Faraday ne ...ame="Farndon" /> --><ref>Farndon, John et al. ''The Great Scientists: From Euclid to Stephen Hawking'', pp. 82 </ref>40 KB (6,455 words) - 08:20, 1 September 2013
- A story (also told of Euclid) shows both a harsh and dogmatic Plato , but also an idealistic one. The s21 KB (3,286 words) - 15:50, 24 July 2015
- ..., contradicting contemporary beliefs, including those of [[Ptolemy]] and [[Euclid]]. The way in which Alhazen combined observations and rational arguments ha22 KB (3,288 words) - 18:53, 9 July 2010
- ...ho was himself also an Athenian<ref>Not the familiar mathematician named [[Euclid]].</ref> and Nicorrates of Samos and even the kings of [[Pergamum|Pergamos]26 KB (3,877 words) - 18:42, 3 March 2024
- ...relation to logic and philosophy goes back to the ancient Greeks such as [[Euclid]], [[Plato]], and [[Aristotle]]. Many other ancient and medieval philosoph32 KB (4,979 words) - 21:47, 12 November 2011
- ...generality]] are valued. There is beauty also in a clever proof, such as [[Euclid]]'s proof that there are infinitely many [[prime number]]s, and in a numeri30 KB (4,289 words) - 16:03, 20 January 2023
- ...wer of axiomatic [[deductive reasoning]] from the book of [[Euclid]]'s ''[[Euclid's Elements|Elements]]'', which he called the "holy little geometry book" <r69 KB (10,580 words) - 15:14, 4 April 2024
- ...] in Egypt (North-East Africa), where many notable early scientists like [[Euclid]] and [[Heron of Alexandria]] came to study. The [[Greeks]] also practiced30 KB (4,465 words) - 11:44, 2 February 2023
- ...tism.<ref name="Farndon">Farndon, John et al. ''The Great Scientists: From Euclid to Stephen Hawking'', Metro Books, New York (2007) pg. 82 </ref> Faraday ne41 KB (6,564 words) - 08:21, 1 September 2013