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  • The '''Euclidean plane''' is the plane that is the object of study in [[Euclidean geometry]] (high The Euclidean plane is a collection of points ''P'', ''Q'', ''R'', ... between which a distance
    1 KB (163 words) - 15:47, 25 November 2008
  • 85 bytes (10 words) - 09:56, 15 November 2008
  • Auto-populated based on [[Special:WhatLinksHere/Euclidean plane]]. Needs checking by a human.
    566 bytes (74 words) - 16:25, 11 January 2010

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  • The '''Euclidean plane''' is the plane that is the object of study in [[Euclidean geometry]] (high The Euclidean plane is a collection of points ''P'', ''Q'', ''R'', ... between which a distance
    1 KB (163 words) - 15:47, 25 November 2008
  • {{r|Euclidean plane}}
    1,019 bytes (129 words) - 03:09, 8 March 2024
  • In the [[Euclidean plane]], we may classify rigid motions as:
    3 KB (392 words) - 14:42, 28 November 2008
  • {{r|Euclidean plane}}
    927 bytes (119 words) - 16:24, 11 January 2010
  • Auto-populated based on [[Special:WhatLinksHere/Euclidean plane]]. Needs checking by a human.
    566 bytes (74 words) - 16:25, 11 January 2010
  • ...of ''any'' vector space. Typical vector spaces include the real line, the Euclidean plane or space, the set of continuous functions on the line (with the supremum no ==Vector addition in the Euclidean plane==
    4 KB (632 words) - 10:13, 6 January 2010
  • 4 KB (679 words) - 03:09, 8 March 2024
  • ...e it approximates the curved surface of the Earth by a flat 2-dimensional Euclidean plane, see [[Riemannian manifold]] for more details about the distance on curved
    9 KB (1,403 words) - 02:22, 14 October 2013
  • {{r|Euclidean plane}}
    616 bytes (79 words) - 07:47, 8 January 2010
  • The definitions given above assume implicitly that the Euclidean plane (or alternatively the 3-dimensional Euclidean space) is already defined, to ...). It is possible to exclude plane-related axioms thus obtaining axioms of Euclidean plane geometry.
    10 KB (1,620 words) - 03:09, 8 March 2024
  • The definitions given above assume implicitly that the Euclidean plane (or alternatively the 3-dimensional Euclidean space) is already defined, to ...). It is possible to exclude plane-related axioms thus obtaining axioms of Euclidean plane geometry.
    10 KB (1,620 words) - 03:09, 8 March 2024
  • ...onal affine space, with this distance defined between the points, is the ''Euclidean plane'' known from high-school geometry. ...e|Affine points.png|right|200px|The parallelogram law in the 2-dimensional Euclidean plane.}}
    15 KB (2,366 words) - 09:09, 4 April 2010
  • ...ace '''R''' and the incomplete space which is the [[unit circle]] in the [[Euclidean plane]] with the point (0,-1) deleted. The latter space is not complete as the n
    3 KB (441 words) - 12:23, 4 January 2009
  • Also the distinction between a Euclidean plane and a Euclidean 3-dimensional space is not an upper-level distinction; the
    28 KB (4,311 words) - 08:36, 14 October 2010
  • ...se somewhat intuitively, such as the space of 2D [[vector]]s in standard [[Euclidean plane]], and the language that we use when talking about these intuitive spaces h Except for the [[Euclidean plane]], the best known vector space is the space <font style = "vertical-align:
    15 KB (2,506 words) - 05:16, 11 May 2011
  • ...arallelogram of forces" (see [[vector (mathematics)#Vector addition in the Euclidean plane|vector addition]]) and he performed experiments that refuted Aristotle's la
    8 KB (1,266 words) - 03:23, 27 April 2010
  • ...all Euclidean planes are mutually isomorphic. In this sense we have "the" Euclidean plane. In terms of Bourbaki, the plane ...Euclidean geometry should prove all geometric statements that hold on the Euclidean plane, and only such statements. Similarly, arithmetics of natural numbers should
    34 KB (5,174 words) - 21:32, 25 October 2013
  • ..., the set of orientation-preserving [[continuous]] transformations of the Euclidean plane <math>\mathbb{R}^2</math> that take lines to lines and preserve angles can
    15 KB (2,535 words) - 20:29, 14 February 2010
  • All triangles are taken to exist in the [[Euclidean plane]] so that the inside angles of each triangle sum to π [[radian]]s (or 180[
    33 KB (5,179 words) - 08:26, 4 June 2010
  • ...ematics around age twelve; in 1891, he taught himself [[Euclidean geometry|Euclidean plane geometry]] from a school booklet and began to study [[calculus]] soon after
    69 KB (10,581 words) - 17:02, 22 March 2024
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