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         Euclidean Geometry:     more books (100)
  1. Foundations of Plane Geometry by Harvey I. Blau, 2002-11-11
  2. Foundations of Projective Geometry by Robin Hartshorne, 2009-12-23
  3. Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry (2nd Edition) by Michael Henle, 2001-01-22
  4. Elementary Geometry by R. David Gustafson, Peter D. Frisk, 1991-01
  5. Geometry Civilized: History, Culture, and Technique by J. L. Heilbron, 2000-03-16
  6. Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing) by Jeff Cheeger and David G. Ebin, 2008-08-04
  7. The Non-Euclidean Revolution (Modern Birkhäuser Classics) by Richard J. Trudeau, 2008-01-21
  8. Episodes in Nineteenth and Twentieth Century Euclidean Geometry (New Mathematical Library) by Ross Honsberger, 1996-09-05
  9. Lectures on Hyperbolic Geometry (Universitext) (Volume 0) by Riccardo Benedetti, Carlo Petronio, 1992-09-03
  10. Quasicrystals and Geometry by Marjorie Senechal, 1996-09-28
  11. Geometry by Michele Audin, 2002-11-11
  12. Journey into Geometries (Spectrum) by Marta Sved, 1997-07
  13. The Fourth Dimension and Non-Euclidean Geometry in Modern Art by Linda Dalrymple Henderson, 1983-09
  14. Riemannian Geometry by Luther Pfahler Eisenhart, 1997-10-13

41. Euclidean Geometry - AoPSWiki
Retrieved from http//www.artofproblemsolving.com/Wiki/index.php/euclidean_geometry . Categories Stubs Geometry. Views
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Euclidean geometry
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Euclidean geometry is geometry that stemmed from the work of Euclid
This article is a stub. Help us out by expanding it Retrieved from " http://www.artofproblemsolving.com/Wiki/index.php/Euclidean_geometry Categories Stubs Geometry This page was last modified 03:23, 10 January 2008. This page has been accessed 243 times.

42. Geometry: Geometry, Meeting At Infinity, Professional Mathematician
Refereces/Noneuclidean_geometry.html (Please note the above is a single link although it appears as broken across two lines )
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43. Euclidean Geometry - Encyclopedia Article - Citizendium
Retrieved from http//en.citizendium.org/wiki/euclidean_geometry . Categories CZ Live Mathematics Workgroup. Views. Article; Discussion; View source
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This is a draft article , under development. These unapproved articles are subject to edit intro Euclidean geometry is a form of geometry first codified by Euclid in his series of thirteen books, The Elements
Some of the concepts used and described in Euclidean geometry are: Retrieved from " http://en.citizendium.org/wiki/Euclidean_geometry Categories CZ Live Mathematics Workgroup Views Personal tools Search Read Dive In! Communicate About Us Toolbox

44. Euclidean Geometry - AoPSWiki
Retrieved from http//www.mathlinks.ro/Wiki/index.php/euclidean_geometry . Categories Stubs Geometry. Views. Article; Discussion; Edit; History; Move
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Euclidean geometry
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Euclidean geometry is geometry that stemmed from the work of Euclid
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45. Non-Euclidean Geometry - Conservapedia
Retrieved from http//www.conservapedia.com/Noneuclidean_geometry . Category Geometry. Views. Article; talk page; Edit; History. Personal tools
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Non-Euclidean geometry
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Jump to: navigation search Non-Euclidean geometry is a form of geometry that rejects Euclid 's fifth postulate that parallel lines extend to infinity and never intersect. There are two main forms of non-Euclidean geometry, hyperbolic and elliptic. The former allows parallel lines to intersect, the latter does not have parallel lines. In Euclidean geometry because parallel lines go on to infinity and never intersect the sum of angles in triangles is always exactly 180 degrees, in hyperbolic geometry because parallel lines do intersect triangles are always less than 180 degrees. In elliptic geometry triangles are always greater than 180 degrees because there are no parallel lines. The roots of Non-Euclidean geometry were in works by Gauss , and his pupil Riemann . Later nineteenth century mathematicians such as Janos Bolyai and Nikolai I. Lobachevsky developed this considerably. A geometry is defined as the pure mathematics of points and lines and curves and surfaces. It works by defining a set of axioms which clarify how points and lines are constituted, for example: two unique points define a straight line , and deriving from these results. Some geometries such as the

46. Euclidean Geometry Domain References On Wikipedia
euclidean_geometry Euclidean geometry is a mathematical system attributed to the Greek mathematician Euclid of Alexandria. Euclid s text Elements is the
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Euclidean geometry references on wikipedia
Euclidean geometry is a mathematical system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements is the earliest known systematic discussion of geometry.

47. Euclidean Geometry&action=edit§ion=7
Retrieved from http//en.wikipedia.org/wiki/euclidean_geometry%26action%3Dedit% 26section%3D7 . Source this wikipedia article, under GFDL.
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48. Euclidean Geometry
Euclidean geometry is a mathematical wellknown system attributed to the Greek mathematician Euclid of Alexandria. Euclid s text Elements was the first
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Euclidean geometry
Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. See also: Euclid's text Elements was the first systematic discussion of geometry. It has been one of the most influential books in history, as much for its method as for its mathematical content. The method consists of assuming a small set of intuitively appealing axioms, and then proving many other propositions (theorems) from those axioms. Although many of Euclid's results had been stated by earlier Greek mathematicians, Euclid was the first to show how these propositions could be fitted together into a comprehensive deductive and logical system.. For more information about the topic Euclidean geometry , read the full article at Wikipedia.org , or see the following related articles: Geometry read more Hyperbolic geometry read more ... read more Note: This page refers to an article that is licensed under the GNU Free Documentation License . It uses material from the article Euclidean geometry at Wikipedia.org. See the

49. BrainDex The Knowledge Source - Free Online Encyclopedia
Retrieved from http//www.braindex.com/encyclopedia/index.php/euclidean_geometry . Categories Euclidean geometry Elementary geometry
http://www.braindex.com/encyclopedia/index.php/Euclidean_geometry

50. Mathwords: Euclidean Geometry
Euclidean Geometry. The main area of study in high school geometry. This is the geometry of axioms, theorems, and twocolumn proofs.
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Euclidean Geometry The main area of study in high school geometry . This is the geometry of axioms theorems , and two-column proofs. It includes the study of points lines triangles quadrilaterals , other polygons circles spheres prisms ... cylinders , etc. Note: Euclidean geometry is named for Euclid, a Greek who lived 2500 years ago and wrote Elements , a book that has survived to the present day as the standard source book for Euclidean geometry. See also Plane geometry solid geometry analytic geometry non-Euclidean geometry
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51. Category:Non-Euclidean Geometry - Wikivisual
Retrieved from http//en.wikivisual.com/index.php/CategoryNoneuclidean_geometry . Category Classical geometry. Views
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Within contemporary geometry there are many kinds of geometry that are quite different from Euclidean geometry , first encountered in the forms of elementary geometry plane geometry of triangles and circles, and solid geometry . The conventional meaning of Non-Euclidean geometry is the one set in the nineteenth century : the fields of elliptic geometry and hyperbolic geometry created by dropping the parallel postulate . These are very space types of Riemannian geometry , of constant positive curvature and constant negative curvature respectively. fr:Cat©gorie:G©om©trie non euclidienne
Pages in category "Non-Euclidean geometry"
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52. Euclidean Geometry - TheBestLinks.com - Axiom, Analytic Geometry, Circle, Euclid
Retrieved from http//www.thebestlinks.com/euclidean_geometry.html . Categories Euclidean geometry. Innovate it. This page was last modified 0912,
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Euclidean geometry
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In mathematics Euclidean geometry is the familiar kind of geometry on the plane or in three dimensions. Mathematicians sometimes use the term to encompass higher dimensional geometries with similar properties. Euclidean geometry sometimes means geometry in the plane which is also called plane geometry . Plane geometry is the topic of this article. Euclidean geometry in three dimensions is traditionally called solid geometry . For information on higher dimensions see Euclidean space Plane geometry is the kind of geometry usually taught in high school . Euclidean geometry is named after the Greek mathematician Euclid . Euclid's text Elements is an early systematic treatment of this kind of geometry Table of contents showTocToggle("show","hide") 1 Axiomatic approach
2 Modern introduction to Euclidean geometry

2.1 The construction

3 Classical theorems
...
5 External link
Axiomatic approach
The traditional presentation of Euclidean geometry is as an axiomatic system , setting out to prove all the "true statements" as theorems in geometry from a set of finite number of axioms The five postulates of the Elements are:
  • Any two points can be joined by a straight line Any straight line segment can be extended indefinitely in a straight line.
  • 53. NON-EUCLIDEAN GEOMETRY : Encyclopedia Entry
    Elliptic geometry; Absolute geometry. Original Article from WikiPedia http//en.wikipedia.org/wiki/Noneuclidean_geometry Dictionary * Encyclopedia.
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    NON-EUCLIDEAN GEOMETRY
    Behavior of lines with a common perpendicular in each of the three types of geometry The term non-Euclidean geometry (also spelled: ... elliptic and absolute geometry , which are contrasted with Euclidean geometry . The essential difference between Euclidean and non-Euclidean geometry is the nature of parallel lines. In Euclidean geometry, if we start with a line l and a point A , which is not on l , then we can only draw one line through A that is parallel to l . In hyperbolic geometry, by contrast, there are infinitely many lines through A parallel to l , and in elliptic geometry, parallel lines do not exist. (See the entries on hyperbolic geometry and elliptic geometry for more information.) Another way to describe the differences between these geometries is as follows: Consider two lines in a two-dimensional plane that are both perpendicular to a third line. In Euclidean and hyperbolic geometry the two lines are then parallel. In Euclidean geometry the lines remain at a constant distance , intersecting only in the infinite ; while in hyperbolic geometry they "curve away" from each other, increasing their distance as one moves further from the point of intersection with the common perpendicular. In elliptic geometry the lines "curve toward" each other and eventually intersect. Therefore no parallel lines exist in elliptic geometry.

    54. Category:Euclidean Geometry - Wikipedia, The Free Encyclopedia - Darmowe.org.pl
    Retrieved from index.php?wiki=Categoryeuclidean_geometry . Categories Classical geometry. © 2007 Wikipedia All text is available under the terms of the
    http://darmowe.org.pl/stronki/wiki/index.php?wiki=Category:Euclidean_geometry

    55. Euclidean Geometry In TutorGig Encyclopedia
    Euclidean geometry in TutorGig Encyclopedia Encyclopedia. Search in. Tutorials, Encyclopedia, Dictionary, Entire Web, Store
    http://www.tutorgig.com/ed/Euclidean_geometry
    Euclidean geometry Encyclopedia Search: in Tutorials Encyclopedia Dictionary Entire Web Store Tutorials Encyclopedia Dictionary Web ... Email this to a friend
    Euclidean geometry
    Euclid 'Euclidean geometry ' is a mathematical system due to the Greek mathematician Euclid of Alexandria . Euclid's text Elements was the first systematic discussion of geometry . It has been one of the most influential books in history, as much for its method as for its mathematical content. The method consists of assuming a small set of intuitively appealing axiom s, and then proving many other propositions (theorems) from those axioms. Although many of Euclid's results had been stated by earlier Greek mathematicians, Euclid was the first to show how these propositions could be fitted together into a comprehensive deductive system. The Elements begin with plane geometry , still often taught in secondary school as the first axiomatic system and the first examples of formal proof. The Elements goes on to the solid geometry of three dimensions, and Euclidean geometry was subsequently extended to any finite number of dimension s. Much of the

    56. Euclidean Geometry - Information At Halfvalue.com
    It uses material from the Wikipedia article euclidean_geometry . More from Wikipedia. Wikitionary information about Euclidean geometry
    http://halfvalue.com/wiki.jsp?topic=Euclidean_geometry

    57. Scurma Science Math Geometry Non-Euclidean
    account with links to biographies of some of the people involved. http//wwwgroups.dcs.st-andrews.ac.uk/~history/HistTopics/Non-euclidean_geometry.html
    http://www.allenachrichten.de/Science/Math/Geometry/Non-Euclidean/

    58. Non-Euclidean Geometry
    http//medlibrary.org/medwiki/Noneuclidean_geometry. All Wikipedia text is available under the terms of the GNU Free Documentation License.
    http://medlibrary.org/medwiki/Non-Euclidean_geometry
    Welcome to the MedLibrary.org Wikipedia Supplement on Non-Euclidean geometry Please Click to Return to Front Page
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    This MedLibrary.org supplementary page on Non-Euclidean geometry is provided directly from the open source Wikipedia as a service to our readers. Please see the note below on authorship of this content, as well as the Wikipedia usage guidelines. To search for other content from our encyclopedia supplement, please use the form below:
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    BM Pharmacy Generic pharmaceuticals at unbeatable prices. Insomnia, men's health, hair health, pain control. bmpharmacy.com Online Pharmacy ... frugalmed.com Ads by Tiva Behavior of lines with a common perpendicular in each of the three types of geometry In mathematics, non-Euclidean geometry describes hyperbolic and elliptic geometry , which are contrasted with Euclidean geometry . The essential difference between Euclidean and non-Euclidean geometry is the nature of parallel lines.

    59. [om-list] Re: Naming Systems
    I also could write namespace Mark_Butler_19701014 { entity Physical_Space; entity euclidean_geometry; Physical_Space isA euclidean_geometry.
    http://six.pairlist.net/pipermail/om-list/2000q3/000034.html
    [om-list] Re: Naming Systems
    Mark Butler butlerm at middle.net
    Wed Sep 27 01:33:43 EDT 2000 One thing I'm not sure of yet is if their concept can handle arbitrary knowledge stored in an object model and is able to do all the things in our requirements list. or maybe we don't want to pre-define any taxonomyour taxonomy is the real world. http://837598.327056.891372598.327582937.5982375 I often consider that to its inhabitants, showing all things pertaining to a lower order of kingdoms etc. etc., which strikes chords in me relative to having one massive database with all available truth stored in it. If the goal is to store all knowledge, then what is knowledge, at an atomic level? I currently believe it is an object model of the things in my mind or someone else's mind. I don't (yet?) understand how extensive lists of logic statements (and surely not statistical sentence comparisons) get you there. To create an object model all you may need (at least to begin with?) are

    60. Kifb Browser
    WordNet senses for the word noneuclidean_geometry. nouns. non-Euclidean geometry geometry based on axioms different from Euclid s
    http://godel.iis.sinica.edu.tw/cgi-bin/kifb/kifb_cgi?english=non-euclidean_geome

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