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- Let <math>A,B,C,D</math> be four points in the Euclidean plane. Taking an inversion centered at <math>D</math> (the point doesn't matter,7 KB (1,198 words) - 08:36, 8 December 2024
- A '''circle''' is a geometric figure commonly used in Euclidean [[geometry]]. A circle is defined as the [[set]] (or [[locus]]) of [[point]]s in a [[plane]] with an equal distance from a fixed point. The fixed point is called the9 KB (1,585 words) - 12:46, 2 September 2024
- ...ften refer to a vector as "a quantity with a direction and magnitude." For Euclidean geometers, a vector is essentially a directed line segment. In many situati ...gnitude or length, and direction, vectors can be freely translated about a plane without changing. Hence, it is convenient to consider a vector as originat11 KB (1,876 words) - 18:01, 29 August 2024
- == Euclidean Geometry == {{main|Euclidean geometry}}3 KB (478 words) - 00:52, 25 August 2024
- ...rally, when the term is used, it refers to the definition of parallel in [[Euclidean]] geometry. ...and <math>m</math> are said to be '''parallel''' if they lie in the same [[plane]] but do not intersect. This is denoted by <math>l \parallel m</math>. If <2 KB (326 words) - 11:11, 21 May 2009
- ...n.com/Advanced-Euclidean-Geometry-Dover-Mathematics/dp/0486462374 Advanced Euclidean Geometry]by Roger Johnson ...ss.com/catalog/products/supplementals/Prod_AdvancedEuclidean.html Advanced Euclidean Geometry] by Salkind Posamentier3 KB (320 words) - 14:22, 27 November 2023
- In [[Euclidean geometry]], the '''midpoint''' of a [[line segment]] is the [[point]] on th == Cartesian Plane ==4 KB (596 words) - 16:09, 9 May 2024
- ...math>\sim</math> be the set of ordered pairs of triangles in the Euclidean plane which are similar to each other. We could also define a relation <math>\le4 KB (655 words) - 21:33, 18 May 2008
- ..., when the term is used, it refers to the definition of perpendicular in [[Euclidean]] geometry. ...perpendicularity of other objects. If a line <math>l</math> intersects a plane <math>P</math> at a point <math>A</math>, we say that <math>l \perp P</math1 KB (233 words) - 14:33, 20 October 2007
- ...<math>\mathbb{R}^2</math> or <math>\mathbb{R}^3</math> with the standard [[Euclidean metric]]), the isometries are known as ''rigid motions'' and two sets which2 KB (282 words) - 16:17, 23 September 2006
- ...on]]. The [[intersection]] of two non-[[parallel]] [[line]]s in the same [[plane]] is a point.3 KB (461 words) - 17:59, 22 April 2008
- In [[mathematics]], a '''plane''' is a two-[[dimension]]al object that is infinitely [[length | long]] and == Euclidean Geometry ==920 bytes (148 words) - 12:52, 2 October 2023
- ...is named after [[Leonhard Euler]]. Its existence is a non-trivial fact of Euclidean [[geometry]]. Certain fixed orders and distance [[ratio]]s hold among these Let <math>P</math> be the point in the plane <math>ABC.</math>59 KB (10,203 words) - 03:47, 30 August 2023
- ...ing coordinates to geometry problems. There are two parts of the Cartesian plane: the [[Abscissa|x-coordinate]] and the [[Ordinate|y-coordinate]]. *Evan Chen Euclidean Geometry1 KB (152 words) - 21:50, 25 August 2024
- A square grid on the Euclidean plane consists of all points <math>(m,n)</math>, where <math>m</math> and <math>n3 KB (539 words) - 12:42, 4 July 2013
- (''Gregory Galperin'') A [[square]] grid on the [[Cartesian plane|Euclidean plane]] consists of all [[point]]s <math>(m,n)</math>, where <math>m</math> and <5 KB (754 words) - 02:41, 7 August 2014
- In Euclidean [[geometry]], an octahedron is any polyhedron with eight [[face]]s. The te ...can be decomposed into two [[square (geometry)|square]] [[pyramid]]s by a plane constructed [[perpendicular]] to the space [[diagonal]] joining two opposit1 KB (157 words) - 17:48, 5 September 2024
- ...known as a "Henagon". The monogon can only exist in a [[non-Euclidean]] [[plane]].312 bytes (50 words) - 15:50, 17 March 2013
- ==In Euclidean Systems== ...</math>. This way, in general, the origin of an <math>n</math>-dimensional Euclidean space <math>\mathbb{R}^n</math> is the <math>n</math>-tuple <math>(0,0,\ldo727 bytes (112 words) - 17:41, 28 September 2024
- .... It has been a source of controversy for centuries, and is the basis of [[Euclidean geometry]]. ...In Hilbert's Foundations of Geometry, the parallel postulate states ''In a plane there can be drawn through any point A, lying outside of a straight line a,2 KB (329 words) - 11:46, 20 November 2012