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- '''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
- {{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
- 12 bytes (1 word) - 11:47, 26 September 2007
- 128 bytes (18 words) - 12:21, 22 January 2009
- 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
- 175 bytes (23 words) - 04:56, 14 September 2020
- 416 bytes (37 words) - 04:56, 14 September 2020
- {{r|Euclidean geometry}}252 bytes (30 words) - 04:56, 14 September 2020
- {{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
Page text matches
- {{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 (triangle1 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 [[inf173 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, [[surface2 KB (232 words) - 03:09, 8 March 2024
- In Euclidean geometry, a distance preserving transformation that reverses orientation122 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 als335 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 it933 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 [[an2 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 geometrical3 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 '''∟''', bisect832 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 Fi4 KB (679 words) - 03:09, 8 March 2024
- * In [[Euclidean geometry]], the relation between figures that can be superposed by [[rigid motion]]s645 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 ([[circ9 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 ta1 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 geom15 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 [[t4 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]] (the4 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/mi5 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 specifi19 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 coefficient6 KB (982 words) - 03:09, 8 March 2024
- * no easy description in the language of traditional Euclidean geometry14 KB (2,043 words) - 12:19, 11 June 2009
- ...2π''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, eve29 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 σ on <font style="vertica8 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 p34 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 relativi30 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 b8 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 th10 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 the23 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 prin28 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</r24 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 ass44 KB (7,312 words) - 03:09, 8 March 2024
- ...s a [[mathematical constant]] that is approximately equal to 3.14159. In [[Euclidean geometry]], π represents the ratio between the circumference and the diameter of15 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 wa13 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 calcu17 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 [[calcu69 KB (10,580 words) - 15:14, 4 April 2024