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  • {{r|Euclidean geometry}} {{r|Non-Euclidean geometry}}
    292 bytes (34 words) - 03:09, 8 March 2024
  • Auto-populated based on [[Special:WhatLinksHere/Euclidean geometry]]. Needs checking by a human. {{r|Line (Euclidean geometry)}}
    1,019 bytes (129 words) - 03:09, 8 March 2024
  • ...ntary geometry, a flat surface that entirely contains all straight [[line (Euclidean geometry)|lines]] passing through two of its points.
    181 bytes (24 words) - 03:10, 8 March 2024
  • {{r|Euclidean geometry}} {{r|Line (Euclidean geometry)}}
    735 bytes (92 words) - 03:09, 8 March 2024
  • '''Euclidean geometry''' is a form of [[geometry]] first codified by [[Euclid]] in his series of Some of the concepts used and described in Euclidean geometry are:
    2 KB (177 words) - 03:10, 8 March 2024
  • The '''Euclidean plane''' is the plane that is the object of study in [[Euclidean geometry]] (high-school geometry). The plane and the geometry are named after the an As is known from Euclidean geometry lines can be drawn between points and different geometric figures (triangle
    1 KB (163 words) - 15:47, 25 November 2008
  • #REDIRECT [[Line (Euclidean geometry)/Definition]]
    50 bytes (5 words) - 04:56, 14 September 2020
  • #REDIRECT [[Line (Euclidean geometry)/Approval]]
    48 bytes (5 words) - 04:56, 14 September 2020
  • A '''solid''' in [[Euclidean geometry]] has [[length]], [[breadth]] and [[depth]]. A solid is made up of an [[inf
    173 bytes (24 words) - 20:40, 16 April 2009
  • #REDIRECT [[Line (Euclidean geometry)/Related Articles]]
    56 bytes (6 words) - 04:56, 14 September 2020
  • #REDIRECT [[Line (Euclidean geometry)/Citable Version]]
    55 bytes (6 words) - 11:17, 21 March 2021
  • ...relationships between figures such as [[point (geometry)|points]], [[line (Euclidean geometry)|lines]], [[polygon]]s, [[solid (geometry)|solid]]s, [[vector]]s, [[surface
    2 KB (232 words) - 03:09, 8 March 2024
  • In Euclidean geometry, a distance preserving transformation that reverses orientation
    122 bytes (13 words) - 14:29, 18 July 2009
  • The extremities of a [[line (Euclidean geometry)|line]] segment are points. In [[Euclidean geometry]]:
    2 KB (301 words) - 03:10, 8 March 2024
  • In Euclidean geometry, triangles which can be superposed by a rigid motion.
    111 bytes (15 words) - 14:40, 28 November 2008
  • In [[Euclidean geometry]]:
    344 bytes (50 words) - 23:23, 20 February 2010
  • {{r|Euclidean geometry}}
    250 bytes (27 words) - 08:21, 24 March 2010
  • {{r|Euclidean geometry}}
    252 bytes (30 words) - 04:56, 14 September 2020
  • {{r|Euclidean geometry}}
    313 bytes (48 words) - 14:58, 7 December 2008
  • {{r|Euclidean geometry}}
    338 bytes (42 words) - 19:08, 5 October 2009
  • {{r|Euclidean geometry}}
    927 bytes (119 words) - 16:24, 11 January 2010
  • ...s'') is a special point located at the intersection of two or more [[line (Euclidean geometry)|lines]], generally in an angle, polygon or polyhedron. Vertices appear als
    335 bytes (50 words) - 03:10, 8 March 2024
  • {{r|Euclidean geometry}}
    704 bytes (91 words) - 19:38, 11 January 2010
  • {{r|Euclidean geometry}}
    512 bytes (64 words) - 20:03, 11 January 2010
  • {{rpl|Line (Euclidean geometry)}}
    70 bytes (8 words) - 11:25, 21 March 2021
  • {{r|Euclidean geometry}}
    471 bytes (59 words) - 19:27, 11 January 2010
  • ...act of the [[geometry]] of [[space]] and [[time]], which is not simply a [[Euclidean geometry]] but a [[Riemannian geometry]] that varies from location to location as it
    933 bytes (140 words) - 13:24, 5 September 2014
  • {{r|Euclidean geometry}}
    452 bytes (57 words) - 19:56, 11 January 2010
  • {{r|Line (Euclidean geometry)}}
    879 bytes (114 words) - 03:09, 8 March 2024
  • {{r|Euclidean geometry}}
    566 bytes (74 words) - 16:25, 11 January 2010
  • ==In Euclidean geometry== In Euclidean geometry, the statement is as follows:
    2 KB (414 words) - 08:12, 16 April 2009
  • ...ne triangle exactly onto the other ("superposition"). Since properties of Euclidean geometry are determined by the [[Euclidean distance]], which in turn determines [[an
    2 KB (246 words) - 14:37, 28 November 2008
  • In [[Euclidean geometry]]:
    1 KB (234 words) - 06:20, 22 October 2008
  • This definition is correct if (silently) the "natural" ([[Euclidean geometry|Euclidean]]) geometry is assumed. Important properties of the notion "parallel" in Euclidean geometry are:
    5 KB (852 words) - 05:23, 17 April 2010
  • {{r|Euclidean geometry}}
    930 bytes (146 words) - 14:49, 28 November 2008
  • In [[Euclidean geometry]], a '''rigid motion''' is a transformation which preserves the geometrical
    3 KB (392 words) - 14:42, 28 November 2008
  • {{r|Euclidean geometry}}
    172 bytes (18 words) - 20:07, 7 March 2024
  • In [[Euclidean geometry]], a '''right angle''', symbolized by the L-shaped figure '''∟''', bisect
    832 bytes (148 words) - 17:48, 6 February 2009
  • ...plane (geometry)|plane]] can be specified by its distance from two [[line (Euclidean geometry)|lines]] intersecting at [[right angle]]s, called axes. For instance, in Fi
    4 KB (679 words) - 03:09, 8 March 2024
  • * In [[Euclidean geometry]], the relation between figures that can be superposed by [[rigid motion]]s
    645 bytes (93 words) - 12:51, 31 May 2009
  • {{r|Euclidean geometry}}
    484 bytes (62 words) - 15:48, 11 January 2010
  • This generalization is obtained by extending the axioms of [[Euclidean geometry]] ...it is a translation, equivalent to a shift of origin. In the classical [[Euclidean geometry]] it is irrelevant at which points in space the geometrical objects ([[circ
    9 KB (1,403 words) - 02:22, 14 October 2013
  • {{r|Euclidean geometry}}
    607 bytes (78 words) - 06:51, 22 January 2010
  • {{Image|Line (Euclidean geometry).png|right||Line AB (in red) through points A and B (in blue). Of course, a In [[Euclidean geometry]], a '''line''' (sometimes called, more explicitly, a '''straight line''')
    10 KB (1,620 words) - 03:09, 8 March 2024
  • {{Image|Line (Euclidean geometry).png|right||Line AB (in red) through points A and B (in blue). Of course, a In [[Euclidean geometry]], a '''line''' (sometimes called, more explicitly, a '''straight line''')
    10 KB (1,620 words) - 03:09, 8 March 2024
  • *[[Euclidean geometry]]
    2 KB (339 words) - 22:18, 14 September 2013
  • {{r|Euclidean geometry}}
    886 bytes (141 words) - 14:42, 28 November 2008
  • ...plagiarist, but he and Reimann invented somewhat different variants of non-Euclidean geometry approximately simultaneously. [[User:Sandy Harris|Sandy Harris]] ([[User ta
    1 KB (154 words) - 07:47, 26 July 2015
  • ...a boundary — that for any two of its points entirely contains the [[line (Euclidean geometry)|straight line]] joining them. ...be a three-dimensional [[Euclidean space]]), and by lines we mean [[Line (Euclidean geometry)|straight lines]].''
    16 KB (2,609 words) - 03:09, 8 March 2024
  • ...a boundary — that for any two of its points entirely contains the [[line (Euclidean geometry)|straight line]] joining them. ...be a three-dimensional [[Euclidean space]]), and by lines we mean [[Line (Euclidean geometry)|straight lines]].''
    16 KB (2,638 words) - 03:10, 8 March 2024
  • The 2-dimensional plane, well-known from [[Euclidean geometry|elementary Euclidean geometry]], is an example of an '''affine space'''. Remember that in elementary geom
    15 KB (2,366 words) - 09:09, 4 April 2010
  • '''Euclid's Elements''' is the oldest systematic treatise on [[Euclidean geometry]]. For more than twenty centuries the ''Elements'' was the major textbook ...nitions.) It then goes on to the formulation of the five [[postulates]] of Euclidean geometry:
    8 KB (1,314 words) - 11:25, 13 January 2020
  • ...idea of space from classical to modern. For the classical approach, see [[Euclidean geometry]].</div> ...n "what is the sum of the three angles of a triangle" is meaningful in the Euclidean geometry but meaningless in the projective geometry.
    28 KB (4,311 words) - 08:36, 14 October 2010
  • A polygon, in [[Euclidean geometry]], must have at least three sides. A polygon of three sides is called a [[t
    4 KB (654 words) - 03:08, 20 November 2009
  • ...planar [[curve]] formed by the points that lie as far from a given [[line (Euclidean geometry)|line]] (the ''directrix'') as from a given [[point (geometry)|point]] (the
    4 KB (730 words) - 03:09, 8 March 2024
  • In [[Euclidean geometry]], the '''Pythagorean theorem''' states that:
    2 KB (369 words) - 16:12, 1 February 2010
  • ...ry|geometric]] themes of [[tessellation]], [[polyhedron|polyhedra]], [[non-euclidean geometry]], and [[perspective]].<ref>{{cite web|url=http://www.mathacademy.com/pr/mi
    5 KB (818 words) - 20:46, 20 February 2010
  • ...y mathematics with arithmetics, elementary [[algebra]] and 2-dimensional [[Euclidean geometry]] (plane geometry). <ref name="kiselev"> By standard arguments of plane [[Euclidean geometry]] one can compute the numerical values of sine and cosine for a few specifi
    19 KB (3,106 words) - 09:53, 10 October 2013
  • Otherwise, the graph of the equation will be a [[line (Euclidean geometry)|line]] in the plane, hence the name "linear equation". If the coefficient
    6 KB (982 words) - 03:09, 8 March 2024
  • * no easy description in the language of traditional Euclidean geometry
    14 KB (2,043 words) - 12:19, 11 June 2009
  • ...2&pi;''R'' using the radius ''R'' measured from the axis of rotation, and Euclidean geometry apparently does not apply. This paradox has been discussed for decades, eve
    29 KB (4,366 words) - 09:10, 26 March 2011
  • ...lem: if transmitters are like ''dots'' or ''nodes'' connected by ''[[line (Euclidean geometry)|lines]]'', then it's possible to imagine the transmission channels as if t ...here you wish. If two provinces share a common border, then draw a [[line (Euclidean geometry)|line]] between the two points. No common boundary? Then don't draw a line.
    22 KB (3,572 words) - 03:09, 8 March 2024
  • In [[Euclidean geometry]], a '''reflection''' is a linear operation &sigma; on <font style="vertica
    8 KB (1,366 words) - 09:12, 10 August 2009
  • ..., often called [[space (mathematics)|space]]s (of this kind). For example: Euclidean geometry is a theory of Euclidean spaces; topology is a theory of topological spaces Axioms of the plane Euclidean geometry leave no freedom, they determine uniquely all geometric properties of the p
    34 KB (5,174 words) - 21:32, 25 October 2013
  • ...d to the search for higher dimensional algebras that could "arithmetize" [[Euclidean geometry]]. It turns out that there are such generalizations in dimensions 4 and 8,
    18 KB (3,028 words) - 17:12, 25 August 2013
  • ...pace generalizes these ideas to include higher-dimensional geometry, [[Non-euclidean geometry|non-Euclidean geometries]] (which play a central role in [[general relativi
    30 KB (4,289 words) - 16:03, 20 January 2023
  • Firstly, whether the universe is spatially flat, i.e. whether the rules of Euclidean geometry are valid on the largest scales, is unknown. Currently, most cosmologists b
    8 KB (1,199 words) - 20:34, 8 June 2010
  • ...d to the search for higher dimensional algebras that could "arithmetize" [[Euclidean geometry]]. It turns out that there are such generalizations in dimensions 4 and 8,
    20 KB (3,304 words) - 17:11, 25 August 2013
  • *from the axioms of Euclidean geometry, mathematicians deduce theorems about geometric figures that follow from th
    10 KB (1,529 words) - 16:45, 10 February 2024
  • ...sphere, and not on a flat surface. Note that the later discovery of [[non-Euclidean geometry]] does not resolve this question; for one might as well ask, "If given the
    23 KB (3,644 words) - 17:50, 3 November 2013
  • ...ervations of real objects that approximate a circle.) A classic example is Euclidean geometry, initially thought to express the way the world worked, and later considere ...dman |quote=Kant's original version of transcendental philosophy took both Euclidean geometry and the Newtonian laws of motion to be synthetic a priori constitutive prin
    28 KB (4,191 words) - 12:12, 23 August 2013
  • ...in manipulating ideas of a structure's surface or skin, and apparent [[non-Euclidean geometry]],<ref>Husserl, ''Origins of Geometry'', Introduction by Jacques Derrida</r
    24 KB (3,347 words) - 02:42, 17 April 2014
  • ...owever, it seems that the articles are misguided and that [[straight line (Euclidean geometry)]] needs to be deleted. Unfortunately, I've no idea who to do this. Any ass
    44 KB (7,312 words) - 03:09, 8 March 2024
  • ...s a [[mathematical constant]] that is approximately equal to 3.14159. In [[Euclidean geometry]], &pi; represents the ratio between the circumference and the diameter of
    15 KB (2,275 words) - 19:45, 1 September 2020
  • ...ivate teachers until he was 16 years old, Christiaan learned arithmetic, [[Euclidean geometry]], classical and modern languages, and music. His mathematical education wa
    13 KB (2,050 words) - 03:41, 17 October 2013
  • ...uded that his observed log N(m) distribution showed a large departure from Euclidean geometry, provided that the effect of redshifts on the apparent magnitudes was calcu
    17 KB (2,731 words) - 19:52, 26 October 2020
  • 46 KB (7,449 words) - 19:49, 26 October 2020
  • ...began to learn mathematics around age twelve; in 1891, he taught himself [[Euclidean geometry|Euclidean plane geometry]] from a school booklet and began to study [[calcu
    69 KB (10,580 words) - 15:14, 4 April 2024