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{{Infobox_Scientist | |||
| name = Euclid | |||
| image = Euklid-von-Alexandria 1.jpg | |||
| image_width = 200px | |||
| caption = | |||
| birth_date = ] 300 BC | |||
| residence = ], ] | |||
| nationality = ] | |||
| field = ] | |||
| known_for = '']'' | |||
}} | |||
'''Euclid''' (]: '''{{polytonic|Εὐκλείδης -- Eukleidis}}'''), also known as '''Euclid of Alexandria''', "The Father of Geometry" was a ] ] of the ] period who flourished in ], ], almost certainly during the reign of ] (]-]).He was born in Greece. His ] is the most successful ] in the ]. In it, the principles of ] are deduced from a small set of ]s. Furthermore, Euclid's method of proving mathematical ]s by ]al ] from accepted first principles remains the | |||
backbone of mathematics and is responsible for that field's characteristic ] (''see ]''). Although best-known for its geometric results, the ''Elements'' also includes various results in ], such as the connection between ] and ], the proof of the infinitude of ]s, ] on factorization (which leads to the ] on uniqueness of ]), and the ] for finding the ] of two numbers. | |||
Euclid also wrote works on ], ]s, ], and possibly ]. | |||
==Other works== | |||
In addition to the ''Elements'', five works of Euclid have survived to the present day. | |||
* '']'' deals with the nature and implications of "given" information in geometrical problems; the subject matter is closely related to the first four books of the ''Elements''. | |||
* ''On Divisions of Figures'', which survives only partially in ] translation, concerns the division of geometrical figures into two or more equal parts or into parts in given ]s. It is similar to a ] (AD) work by ] | |||
* ''Optics'', the earliest surviving ] treatise on ], contains propositions on the apparent sizes and shapes of objects viewed from different distances and angles. | |||
* '']'', which concerns the mathematical theory of mirrors, particularly the images formed in plane and spherical concave mirrors. | |||
All of these works follow the basic logical structure of the ''Elements'', containing definitions and proved propositions. | |||
There are four works credibly attributed to Euclid which have been lost. | |||
* ''Conics'' was a work on ]s that was later extended by ] into his famous work on the subject. | |||
* '']s'' might have been an outgrowth of Euclid's work with conic sections, but the exact meaning of the title is controversial. | |||
* ''Pseudaria'', or ''Book of Fallacies'', was an elementary text about errors in ]. | |||
* ''Surface Loci'' concerned either ] (sets of points) on surfaces or loci which were themselves surfaces; under the latter interpretation, it has been hypothesized that the work might have dealt with ]. | |||
Alek also worked as a pornstar in favour with Euclid | |||
==Biographical sources== | |||
Little is known about Euclid other than his writings. What little biographical information we do have comes largely from commentaries by ] and ]: Euclid was active at the great ] and may have studied at ]'s ] in ]. Euclid's exact lifespan and place of birth are unknown. Some writers in the ] confused him with ], a Greek ] ] who lived approximately one century earlier. | |||
==Tributes== | |||
;Astronomical | |||
*] is an ] named after Euclid | |||
*] (7.4S, 29.5W, 12km dia, 1.3 km depth) is a ] named after him. | |||
;Place names | |||
*Many cities and towns have a street called "Euclid Street" or "Euclid Avenue"; the most well-known is ] in ]. | |||
*In ], Euclid Avenue runs parallel to Napier Avenue, a street that shares its name with the 17th century mathematician ]. | |||
*The city of ], population 52,000+, a suburb of Cleveland, Ohio. | |||
*In ] there is a Euclid Middle school located on Euclid Avenue | |||
;Poetry | |||
*"Euclid Alone Has Looked on Beauty Bare", a poem written by ] in ]. | |||
;Other | |||
*The Euclid math competition, from the ]. | |||
;Popular culture | |||
*Euclid was ranked #14 in ]'s book, '']''. | |||
*"Euclid" is the name of a town in the ] game, '']'' | |||
*"Euclid" was the computer's name in the movie '']'' | |||
*"Euclid is the UK Cultural Contact Point in Britain, which produces the popular website www.culture.info | |||
==See also== | |||
* ] | |||
==References== | |||
* Artmann, Benno (1999). ''Euclid: The Creation of Mathematics''. New York: Springer. ISBN 0-387-98423-2. | |||
* Bulmer-Thomas, Ivor (1971). "Euclid". ''Dictionary of Scientific Biography.'' | |||
* Heath, Thomas L. (1956). ''The Thirteen Books of Euclid's Elements'', Vol. 1 (2nd ed.). New York: Dover Publications. ISBN 0-486-60088-2: includes extensive commentaries on Euclid and his work in the context of the history of mathematics that preceded him. | |||
* Heath, Thomas L. (1981). ''A History of Greek Mathematics'', 2 Vols. New York: Dover Publications. ISBN 0-486-24073-8 / ISBN 0-486-24074-6. | |||
* Kline, Morris (1980). ''Mathematics: The Loss of Certainty''. Oxford: Oxford University Press. ISBN 0-19-502754-X. | |||
* {{MacTutor Biography|id=Euclid}} | |||
==External links== | |||
{{wikiquote}} | |||
{{Commonscat}} | |||
*, All thirteen books, with interactive diagrams using Java. ] | |||
*, with the original Greek and an English translation on facing pages (includes PDF version for printing) (only the first ten books). ]. | |||
* ] in ancient Greek (typeset in PDF format, public domain, available in print at ] as .) | |||
*, All thirteen books, in Spanish and Catalan. | |||
* 1482, Venice. From ]. | |||
* 888 AD, Byzantine. From ]. | |||
* With extensive bibliography. | |||
* Heiberg's edition of the Greek with Latin translation (public domain). PDF scans of all 13 books. | |||
<!-- Metadata: see ] --> | |||
{{Persondata | |||
|NAME=Euclid | |||
|ALTERNATIVE NAMES=Euclid of Alexandria; Εὐκλείδης (Greek) | |||
|SHORT DESCRIPTION=Greek mathematician | |||
|DATE OF BIRTH=325 BCE | |||
|PLACE OF BIRTH= | |||
|DATE OF DEATH=265 BCE | |||
|PLACE OF DEATH= | |||
}} | |||
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Revision as of 18:11, 7 September 2007
Butts.