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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
- 127 bytes (20 words) - 07:08, 4 September 2009
- 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
- #REDIRECT [[Euclid's Elements]]31 bytes (3 words) - 16:36, 16 February 2008
- 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
- ...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
- 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
- 125 bytes (17 words) - 06:59, 4 September 2009
- 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