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  • Auto-populated based on [[Special:WhatLinksHere/Euclidean geometry]]. Needs checking by a human. {{r|Geometry}}
    1,019 bytes (129 words) - 03:09, 8 March 2024
  • ...etry, 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
  • '''Euclidean geometry''' is a form of [[geometry]] first codified by [[Euclid]] in his series of thirteen books, [[Euclid's Some of the concepts used and described in Euclidean geometry are:
    2 KB (177 words) - 03:10, 8 March 2024
  • Auto-populated based on [[Special:WhatLinksHere/Point (geometry)]]. Needs checking by a human. {{r|Euclidean geometry}}
    735 bytes (92 words) - 03:09, 8 March 2024
  • {{r|Elementary geometry}} {{r|Analytic geometry}}
    325 bytes (34 words) - 06:57, 22 November 2009
  • {{r|Euclidean geometry}} {{r|Non-Euclidean geometry}}
    292 bytes (34 words) - 03:09, 8 March 2024
  • In algebraic geometry, differential geometry, and differential topology, the top wedge product of the cotangent sheaf.
    154 bytes (19 words) - 20:14, 20 May 2008
  • ...] minus the number of [[Edge (geometry)|edge]]s plus the number of [[Face (geometry)|faces]]; it is always equal to 2 for [[convex polyhedron|convex polyhedra]
    284 bytes (41 words) - 14:01, 8 February 2010
  • {{r|Euclidean geometry}} {{r|Differential geometry}}
    250 bytes (27 words) - 08:21, 24 March 2010
  • {{r|Euclidean geometry}} {{r| Point (geometry)}}
    252 bytes (30 words) - 04:56, 14 September 2020
  • ...]] and [[depth]]. A solid is made up of an [[infinite]] number of [[plane (geometry)|planes]].
    173 bytes (24 words) - 20:40, 16 April 2009
  • [[Image:Perpendicular (geometry).png|frame|Diagram showing the perpendicular (in bright red)]] In [[Euclidean geometry]]:
    344 bytes (50 words) - 23:23, 20 February 2010
  • ...[[surface (geometry)|surfaces]] and others in a space, such as a [[Plane_(geometry)|plane]], a higher dimensional Euclidean space, a sphere or other [[non-Euc ...ric]]) properties of a given space or, more specifically in [[differential geometry]], a given complete locally homogeneous Riemannian manifold.
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  • {{r|Euclidean geometry}} {{r|Geometry}}
    704 bytes (91 words) - 19:38, 11 January 2010
  • Auto-populated based on [[Special:WhatLinksHere/Right angle (geometry)]]. Needs checking by a human. {{r|Euclidean geometry}}
    512 bytes (64 words) - 20:03, 11 January 2010
  • \RequirePackage[a4paper]{geometry} \geometry{top=25mm,bottom=25mm,left=25mm,right=25mm,nohead,nofoot,includeheadfoot}
    369 bytes (42 words) - 05:57, 22 January 2011
  • *[[pyramid (geometry|pyramids]], where one plane contains only one vertex *[[wedge (geometry)|wedges]], where one plane contains two vertices
    900 bytes (133 words) - 19:35, 19 October 2008
  • {{r|Manifold (geometry)|In geometry}}
    104 bytes (12 words) - 10:56, 31 May 2009
  • Auto-populated based on [[Special:WhatLinksHere/Perpendicular (geometry)]]. Needs checking by a human. {{r|Euclidean geometry}}
    471 bytes (59 words) - 19:27, 11 January 2010
  • ...to the triangle: the mid-points of the sides; the feet of the [[altitude (geometry)|altitude]]s; the mid-points of the segments from the vertices to the [[ort * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]
    610 bytes (88 words) - 17:13, 7 February 2009
  • ...plane curve <math>C\subset\mathbb{P}^2</math> with its arithmetic [[genus (geometry)|genus]] <math>g</math> via the formula: ...le \frac12 r(r-1)</math>.<ref>Semple and Roth, ''Introduction to Algebraic Geometry'', Oxford University Press (repr.1985) ISBN 0-19-85336-2. Pp.53-54</ref>
    937 bytes (128 words) - 21:58, 7 February 2010
  • ...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
  • * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]] * {{cite book | author=Elmer Rees | title=Notes on Geometry | publisher=[[Springer-Verlag]] | year=1983 | isbn=3-540-12053-X }}
    334 bytes (43 words) - 17:33, 23 November 2008
  • Auto-populated based on [[Special:WhatLinksHere/Solid (geometry)]]. Needs checking by a human. {{r|Geometry}}
    485 bytes (63 words) - 03:57, 24 September 2013
  • In [[vector analysis]] and [[differential geometry]], '''Stokes' theorem''' is a statement that treats integrations of differe ==Differential geometry formulation==
    1 KB (176 words) - 10:16, 19 July 2008
  • ...[[time]], which is not simply a [[Euclidean geometry]] but a [[Riemannian geometry]] that varies from location to location as it is affected by the presence o ...General Relativity |author= L. P. Hughston, K. P. Tod |chapter=Riemannian geometry |url=http://books.google.com/books?id=2q5Rdjn0qfgC&pg=PA62 |isbn=052133943X
    933 bytes (140 words) - 13:24, 5 September 2014
  • [[Image:Point (geometry).png|frame|Diagram of a point (in blue) called A (with its label in black)] [[Image:Point (geometry) circle notation.png|frame|Diagram of a point using an alternative "circle"
    2 KB (301 words) - 03:10, 8 March 2024
  • {{dambigbox|Hemisphere (geometry)|Hemisphere}} In mathematics, a '''hemisphere''' is half of a [[Sphere_(geometry)|sphere]]. It is the set of points on a sphere that are all on the same si
    247 bytes (39 words) - 21:49, 24 January 2021
  • #REDIRECT [[Surface (geometry)]]
    32 bytes (3 words) - 07:23, 11 May 2007
  • #REDIRECT [[Manifold (geometry)]]
    33 bytes (3 words) - 19:05, 12 July 2007
  • {{Differential geometry Subgroup}}
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  • {{Subgroup|Differential geometry}}
    34 bytes (3 words) - 04:48, 14 May 2023
  • #REDIRECT [[Parallel (geometry)]]
    33 bytes (3 words) - 11:18, 16 March 2010
  • {{Subgroup|Differential geometry}}
    1 member (0 subcategories, 0 files) - 04:49, 14 May 2023
  • #REDIRECT [[Altitude (geometry)]]
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  • #REDIRECT [[Square (geometry)]]
    31 bytes (3 words) - 06:51, 22 January 2010
  • {{Subgroup|Differential geometry}}
    34 bytes (3 words) - 04:49, 14 May 2023
  • #REDIRECT [[Altitude (geometry)]]
    33 bytes (3 words) - 16:49, 24 November 2008
  • {{Subgroup|Differential geometry}}
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  • #REDIRECT [[Divisor (algebraic geometry)]]
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  • #REDIRECT [[Prism (geometry)/Definition]]
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  • #REDIRECT [[Divisor (algebraic geometry)]]
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  • #REDIRECT [[rectilinear angle (geometry)]]
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  • #REDIRECT [[Point-free geometry]]
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  • #REDIRECT [[Rectilinear angle (geometry)]]
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  • In [[algebraic geometry]], [[differential geometry]], and [[differential topology]] the canonical sheaf is the top [[wedge pro
    247 bytes (27 words) - 11:21, 6 May 2008
  • #REDIRECT [[Line (Euclidean geometry)/Definition]]
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  • #REDIRECT [[Line (Euclidean geometry)/Approval]]
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  • ...the three [[vertex|vertices]]; and the point common to the three [[median (geometry)|median]]s joining the vertices to the midpoints of the opposite sides.
    334 bytes (51 words) - 01:09, 9 February 2009
  • {{r|Square (geometry)|In elementary geometry}}
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  • #REDIRECT [[Talk:Line (Euclidean geometry)/Draft]]
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  • #REDIRECT [[Line (Euclidean geometry)/Citable Version]]
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  • #REDIRECT [[Line (Euclidean geometry)/Related Articles]]
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  • #REDIRECT [[Talk:Line (Euclidean geometry)/Draft]]
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  • File:Line (geometry).png
    #REDIRECT [[File:Line (Euclidean geometry).png]]
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  • {{r|Circle (geometry)}} {{r|Cone (geometry)}}
    262 bytes (33 words) - 11:03, 4 May 2010
  • {{r|Shape (geometry)|In geometry}}
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  • #REDIRECT [[Template:Line (Euclidean geometry).png/credit]]
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  • The plane known from high-school planar geometry.
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  • [[Image:angle (geometry).png|frame|left|Diagram showing the terminology of an angle including arms In [[Euclidean geometry]]:
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  • {{r|Line (Euclidean geometry)}} {{r|Plane (geometry)}}
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  • | pagename = Point (geometry) | abc = Point (geometry)
    680 bytes (60 words) - 06:07, 15 March 2024
  • | pagename = Solid (geometry) | abc = Solid (geometry)
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  • | pagename = Surface (geometry) | abc = Surface (geometry)
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  • *[http://hermay.org/jconstant/wasan/ Wasan geometry]
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  • Computational problems in the field of geometry.
    85 bytes (10 words) - 08:13, 4 September 2009
  • ...study in [[Euclidean geometry]] (high-school geometry). The plane and the geometry are named after the ancient-Greek mathematician [[Euclid]]. As is known from Euclidean geometry lines can be drawn between points and different geometric figures (triangle
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  • | pagename = Plane (geometry) | abc = Plane (geometry)
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  • {{r|Manifold (geometry)}} {{r|Geometry}}
    359 bytes (48 words) - 15:04, 28 July 2009
  • Theory used to construct l-adic cohomology in algebraic geometry.
    102 bytes (12 words) - 21:04, 4 September 2009
  • A model for the axioms of point-free geometry.
    82 bytes (11 words) - 12:34, 30 November 2008
  • In Euclidean geometry, a distance preserving transformation that reverses orientation
    122 bytes (13 words) - 14:29, 18 July 2009
  • {{r|Triangle geometry}} {{r|Analytical geometry}}
    122 bytes (13 words) - 09:27, 26 November 2008
  • * Ph.D. in Mathematics (Pennsylvania State University, PA, USA), differential geometry - Courant algebroids: Cohomology and matched pairs ...oc in Mathematics (Sun Yat-sen University, Guangzhou, China), differential geometry
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  • * In [[triangle geometry]] ** The [[centroid]], intersection of the [[median (geometry)|median]]s
    937 bytes (133 words) - 18:51, 12 February 2009
  • {{r|Sector (geometry)|In geometry}}
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  • {{r|Region (geometry)|In geometry}}
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  • {{r|Sphere (geometry)|In geometry}}
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  • | pagename = Perpendicular (geometry) | abc = Perpendicular (geometry)
    827 bytes (75 words) - 13:27, 8 March 2009
  • Geometry is not only about "study of the relationships between points, lines, surfac ...nough perspective to write this entry. Indeed if someone would ask me what geometry is the best I can do is tell them about Klein's Erlanger Programm, and desc
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  • In Euclidean geometry, triangles which can be superposed by a rigid motion.
    111 bytes (15 words) - 14:40, 28 November 2008
  • | pagename = Geometry | abc = Geometry
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  • Third-generation jet multirole fighter, with variable geometry wings. Western reporting name was [[MiG-23 FLOGGER]]
    151 bytes (17 words) - 00:12, 19 November 2008
  • In geometry and topology, a set that does not contain any of its [[boundary point]]s.
    122 bytes (19 words) - 19:12, 30 September 2009
  • In [[triangle geometry]], a '''Cevian line''' is a line in a [[triangle]] joining a [[vertex]] of * The [[altitude (geometry)|altitude]]s, meeting at the [[orthocentre]]
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  • | pagename = Euclidean geometry | abc = Euclidean geometry
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  • Auto-populated based on [[Special:WhatLinksHere/Rectilinear angle (geometry)]]. Needs checking by a human. {{r|Euclidean geometry}}
    452 bytes (57 words) - 19:56, 11 January 2010
  • ...type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]
    151 bytes (19 words) - 18:29, 15 December 2010
  • Auto-populated based on [[Special:WhatLinksHere/Vertex (geometry)]]. Needs checking by a human. {{r|Plane (geometry)}}
    439 bytes (56 words) - 21:29, 11 January 2010
  • ...polytopes of dimension ''n-1''. A polytope of 0 dimensions is a [[point (geometry)|point]], 1 dimension a [[line segment]], 2 dimensions a [[polygon]], 3 dim
    454 bytes (62 words) - 05:50, 21 January 2009
  • Auto-populated based on [[Special:WhatLinksHere/Point-free geometry]]. Needs checking by a human. {{r|Point (geometry)}}
    441 bytes (56 words) - 19:36, 11 January 2010
  • {{r|Altitude (geometry)}} {{r|Median (geometry)}}
    475 bytes (61 words) - 11:45, 11 January 2010
  • (of lines or planes) In elementary geometry: having no point in common.
    108 bytes (15 words) - 19:24, 16 April 2010
  • {{r|Algebraic geometry}} {{r|Lattice (geometry)}}
    508 bytes (64 words) - 17:35, 11 January 2010
  • {{r|Geometry}} {{r|Point (geometry)}}
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  • A form of geometry in which the primitive notion is that of "region" rather than "point".
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  • {{r|Geometry}} {{r|Triangle geometry}}
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  • Auto-populated based on [[Special:WhatLinksHere/Divisor (algebraic geometry)]]. Needs checking by a human. {{r|Geometry}}
    473 bytes (59 words) - 16:01, 11 January 2010
  • {{r|Euclidean geometry}} {{r|geometry}}
    313 bytes (48 words) - 14:58, 7 December 2008
  • {{r|Euclidean geometry}} {{r|Analytic geometry}}
    338 bytes (42 words) - 19:08, 5 October 2009
  • Form of geometry first codified by Euclid in his series of thirteen books, ''The Elements''.
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  • | pagename = Line (Euclidean geometry) | abc = Line (Euclidean geometry)
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  • Auto-populated based on [[Special:WhatLinksHere/Lattice (geometry)]]. Needs checking by a human. {{r|Geometry}}
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  • | pagename = Prism (geometry) | abc = Prism (geometry)
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  • {{rpl|Second (geometry)}}
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  • (or '''straight line''') In elementary geometry, a maximal infinite curve providing the shortest connection between any two
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  • {{r|Plane (geometry)}} {{r|Point (geometry)}}
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  • In [[geometry]], a '''lattice''' is a discrete subgroup of a real [[vector space]].
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  • ...cts of interest to algebraic geometry, while the more elementary algebraic geometry of algebraic sets is closely related to [[commutative algebra]]. {{Image|Algebraic geometry.png|center|700px|<br/>}}
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  • {{r|Development (differential geometry)|In differential geometry}}
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  • German mathematician (1826-1866) notable for [[differential geometry]], [[theory of functions|function theory]], and [[number theory]].
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  • ...in the field of algebraic geometry. My research is primarily in algebraic geometry, although more recently, I've been studying geometric methods in data analy
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  • ...Riemannian Geometry. My final year project was on topological solitons and geometry. I am also a keen pianist.
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  • Method in algebraic geometry of making an abelian variety from a morphism of algebraic curves.
    131 bytes (18 words) - 11:13, 4 September 2009
  • ...325 BC - ca. 265 BC) Alexandrian mathematician and known as the father of geometry.
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  • In geometry and topology, a set that contains its [[boundary point|boundary]]; the comp
    150 bytes (21 words) - 19:23, 30 September 2009
  • The overall deviations of a [[surface]] from a [[plane (geometry)|plane]].
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  • In [[triangle geometry]], an '''altitude''' is a line from a vertex perpendicular to the opposite * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]
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  • | pagename = Vertex (geometry) | abc = Vertex (geometry)
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  • | pagename = Point-free geometry | abc = Point-free geometry
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  • | pagename = Algebraic geometry | abc = Geometry, Algebraic
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  • In geometry and topology, a point of a set that is not a [[boundary point]].
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  • The [[area (geometry)|area]] covered by the outer layer of the [[cerebral cortex]].
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  • ==In algebraic geometry== In [[algebraic geometry]], a generic point of an [[algebraic variety]] is a point for which the coo
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  • {{rpl|Line (Euclidean geometry)}}
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  • {{r|Polarization (algebraic geometry)}}
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  • Consider merging with [[right angle (geometry)]]. --[[User:Miguel Adérito Trigueira|Miguel Adérito Trigueira]] 07:56, 1
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  • * {{cite book | title=Groups and Geometry | author=Peter M. Neumann | coauthors=Gabrielle A. Stoy, Edward C. Thompson
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  • * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]
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  • * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]
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  • | title = The intrinsic geometry of the cerebral cortex
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  • {{r|Analytic geometry}} {{r|Defect (geometry)}}
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  • ...the [[finite element method]], i.e. multiple smaller surfaces of a simpler geometry.
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  • {{r|Radius (geometry)}}
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  • {{r|Prism (geometry)}}
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  • *{{r|Point (geometry)}}
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  • | title = The Geometry of Schemes
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  • ...al and subcortical morphometric measures: Effects of pulse sequence, voxel geometry, and parallel imaging
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  • ...| author=Serge Lang | authorlink=Serge Lang | title=Survey of Diophantine geometry | publisher=[[Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 | pages=25
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  • ...puting''' focuses on [[computer|computational]] problems in the field of [[geometry]]. Most problems involve efficient and robust [[algorithm]]s which can be e
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  • {{r|Euclidean geometry}} {{r|Geometry}}
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  • {{rpl|Solid (geometry)}}
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  • ...rmer), moved from "Plane", could be used later in the history of Euclidean geometry. [[User:Boris Tsirelson|Boris Tsirelson]] 07:24, 30 July 2010 (UTC) ...ane" was considered satisfactory. However, with the birth of non-Euclidean geometry and attention to the logical foundations of mathematics in the second half
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  • An explanation of the phenomena of gravity as an effect of masses upon the geometry of space and time
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  • ...de (geography)'' or possibly ''(geodesy)'' to distinguish from [[Altitude (geometry)]]? [[User:Richard Pinch|Richard Pinch]] 20:53, 24 November 2008 (UTC)
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  • ...logy may be viewed as the search for solutions of problems relating to the geometry of position in the true sense of the term.
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  • {{r|Plane (geometry)}}
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  • {{rpl|Altitude (geometry)}}
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  • :* discrete mathematics, in particular: discrete geometry (speciality: tilings) : (Aug 2010): [[Plane (geometry)]] (E) / [[Cryptanalysis]] (A)
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  • {{rpl|Ball (geometry)}}
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  • [[Image:Right angle (geometry) definition.png|frame|Diagram showing the definition of a right angle. The In [[Euclidean geometry]], a '''right angle''', symbolized by the L-shaped figure '''∟''', bisect
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  • A [[map projection|projection]] onto a [[plane (geometry)|plane]].
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  • {{r|Linear system (algebraic geometry)}}
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  • | title = On the evolution and geometry of the brain in mammals.
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  • {{r|Lattice (geometry)}}
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  • {{rpl|Median (geometry)}}
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  • {{rpl|Reflection (geometry)}}
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  • {{r|Genus (algebraic geometry)}}
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  • In [[triangle geometry]], the '''pedal triangle''' is a further triangle defined with respect to a * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]
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  • {{r|Divisor (algebraic geometry)}}
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  • {{r|Area (geometry)}}
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  • .... Research interests include several complex variables and real algebraic geometry.
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  • In [[complex geometry]] and in [[algebraic geometry]] '''K3 surfaces''' are the 2-dimensional analog of [[elliptic curves]]. Th In algebraic geometry a [[algebraic surface|surface]] <math>S</math> is a <math>K3</math> surface
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  • *Diamond, shape called rhombus in geometry and lozenge in heraldry
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  • * [[Congruence (geometry)]]
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  • {{r|Translation (geometry)}}
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  • {{r|scaling (geometry)}}
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  • Formula of algebraic geometry and complex manifold theory relates, for a hypersurface, its normal bundle,
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  • ...re defined by suitable sequences of regions. The basic ideas of point-free geometry were formulated by [[Alfred North Whitehead]] in ''An Inquiry Concerning th ...investigation about the part-whole relation) rather than for a point-free geometry. So, it is not surprising the fact that, later, in [[Process_and_Reality|''
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  • ...lso refer to similarly defined curves on other two-dimensional [[Manifold (geometry)|manifolds]].
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  • {{r|Geometry}} {{r|Fractal geometry}}
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  • (of a set) In geometry and topology, a point such that every neighbourhood contains both points in
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  • ...', Princeton university press. Part II in ''complex analysis and algebraic geometry'', Cambridge university press. Part III in ''Invent Math''. 35. *P. Griffithis and J. Harris ''Principles of Algebraic Geometry''. Chapter 4
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  • ...ans of analytic geometry. However, vectors probably are not quite analytic geometry. Coordinates are. [[User:Boris Tsirelson|Boris Tsirelson]] 15:34, 23 July 2
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  • ==In Euclidean geometry== In Euclidean geometry, the statement is as follows:
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  • {{rpl|Hemisphere (geometry)}}
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  • In geometry and topology, a point of a set which is not in the set and is not a [[bound
    136 bytes (24 words) - 18:44, 30 September 2009
  • ...ields in mathematics, including applied mathematics, analysis, [[algebraic geometry]]. However, he is probably best known for his work in [[number theory]], a
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  • *{{cite book |title=Differential geometry with applications to mechanics and physics |author=Yves Talpaert |url=http:
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  • ...ich affect the Accuracy of Barometrical Measurements," and his Elements of Geometry, all already referred to, being the most important. His lives of Matthew St
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  • {{r|Power (geometry)}}
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  • ...o mathematics for the intelligent general reader; chapter 8, "Rubber-Sheet Geometry," deals with topology.
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  • ===Geometry=== {{rpl|Differential geometry}}
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  • I am a graduate student in Algebraic Geometry at the University of Cambridge.
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  • ...rs at AT&T Labs -- Research. My interests lie in algorithms, computational geometry, information theory, and mathematics
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  • ...heory relating [[Gravitation|gravity]] to non-Euclidean distortions in the geometry of space and time introduced by mass and energy, and reducing to the [[Spec
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  • Do we need this article in addition to [[Plane (geometry)]]? --[[User:Boris Tsirelson|Boris Tsirelson]] 16:33, 18 January 2011 (UTC)
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  • In [[mathematics]], in the field of arithmetic algebraic geometry, the '''Manin obstruction''' is attached to a geometric object ''X'' which ...| author=Serge Lang | authorlink=Serge Lang | title=Survey of Diophantine geometry | publisher=[[Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 | pages=25
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  • ...More specifically: Classical algebraic geometry, moduli spaces, birational geometry. ...proceedings volume of Snowbird Joint Summer Research Conference Algebraic Geometry: Presentations by Young Researchers.
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  • ...y, I am writing a doctoral thesis about a topic in the area of arithmetic geometry.
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  • ...egment AB (those points on the line AB that lie between A and B). Lines in geometry go on and on, to infinity, so the line AB continues through A and B. Could
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  • ...e to a mid-life [[AIM-9 Sidewinder]] missile without all-aspect engagement geometry. The R-60M has an expanded range of target designation angles to +/- 20 de
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  • {{r|Feature geometry}}
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  • {{r|Algebraic geometry}} {{r|Geometry}}
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  • According to the common explanation two straight lines in a [[plane (geometry)|plane]] are said to be ...is correct if (silently) the "natural" ([[Euclidean geometry|Euclidean]]) geometry is assumed.
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  • * {{r|Sacred geometry}}
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  • {{r|Euclidean geometry}}
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  • | pagename = right angle (geometry) | abc = right angle (geometry)
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  • | pagename = Altitude (geometry) | abc = Altitude (geometry)
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  • | pagename = Reflection (geometry) | abc = Reflection (geometry)
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  • ...Incentre]]). On the other hand, I do hope to see an article on [[Triangle geometry]] in the near future. [[User:Richard Pinch|Richard Pinch]] 07:22, 26 Novem
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  • | pagename = Lattice (geometry) | abc = Lattice (geometry)
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  • | pagename = Median (geometry) | abc = Median (geometry)
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  • {{r|Geometry}}
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  • | pagename = Parallel (geometry) | abc = Parallel (geometry)
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  • | pagename = Divisor (algebraic geometry) | abc = Divisor (algebraic geometry)
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  • {{r|Geometry}}
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  • ...e exactly onto the other ("superposition"). Since properties of Euclidean geometry are determined by the [[Euclidean distance]], which in turn determines [[an
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  • {{r|Diophantine geometry}}
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  • == Occurrence in geometry == ...tered the thinking of ancient Greek mathematicians because they arise in [[geometry]]. One of the simplest examples is the ratio of the length of the diagonal
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  • ...Artist/Designer and the greatest source of inspiration has come from maths/geometry...i have been self-employed for 40 yrs and in that time my interests have b
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  • | pagename = Manifold (geometry)
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  • {{r|Geometry}}
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  • | pagename = Rectilinear angle (geometry)
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  • In [[triangle geometry]], the '''circumcentre''' of a [[triangle]] is a point which represents the
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  • | sub1 = Differential Geometry
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  • | sub1 = Differential Geometry
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  • | sub1 = Differential Geometry
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  • == Geometry of sun angle ==
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  • ...en, Pennsylvania (Warren High School, Class of 1960). Interested in finite geometry and graphic design. Artist Josefine Lyche of Oslo has used some of my resul
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  • ...ené Descartes]]), who introduced them in 1637. In 3-dimensional analytical geometry, a point is given by three real numbers, also called Cartesian coordinates. ...metry)|plane]] can be specified by its distance from two [[line (Euclidean geometry)|lines]] intersecting at [[right angle]]s, called axes. For instance, in Fi
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  • In [[triangle geometry]], a '''median''' of a [[triangle]] is a line joining one [[vertex]] to the
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  • Auto-populated based on [[Special:WhatLinksHere/Reflection (geometry)]]. Needs checking by a human.
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  • {{r|Manifold (geometry)}}
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  • In [[algebraic geometry]] an '''Abelian variety''' <math>A</math> over a [[field]] <math>K</math> i
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  • * In [[Euclidean geometry]], the relation between figures that can be superposed by [[rigid motion]]s
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  • Assume the analogous comment to what I made at [[Talk:surface (geometry)]]. I suggest that discussion take place there. --[[User:Catherine Woodgo
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  • {{r|Algebraic geometry}}
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  • {{r|Altitude (geometry)}}
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  • *''A syllabus of plane algebraical geometry'' (1860)
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  • {{r|Prism (geometry)}}
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  • {{r|Geometry}}
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  • {{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''')
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  • {{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''')
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  • {{r|Median (geometry)}}
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  • ...theory, geometry, group theory, Galois theory, and matrices, including the geometry of matrices.
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  • {{r|Manifold (geometry)|Manifold}}
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  • ...age, a '''surface''' is the exterior face of an object in space (a [[body (geometry)|body]]), In [[analytic geometry]] and in [[differential geometry]] a surface can be described
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  • {{r|Geometry}}
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  • Auto-populated based on [[Special:WhatLinksHere/Prism (geometry)]]. Needs checking by a human.
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  • {{r|Algebraic geometry}}
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  • Auto-populated based on [[Special:WhatLinksHere/Altitude (geometry)]]. Needs checking by a human.
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  • {{r|Reflection (geometry)}}
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  • {{r|Euclidean geometry}}
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  • * Allman, George J. ''Greek Geometry from Thales to Euclid'' (1976)
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  • {{r|Algebraic geometry}}
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  • {{r|Geometry}}
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  • {{r|Euclidean geometry}}
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  • ...st=Serge | last=Lang | authorlink=Serge Lang | title=Survey of Diophantine geometry | publisher=[[Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 | page=51
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  • {{r|Algebraic geometry}}
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  • ...d in both [[DNA]] and [[RNA]], but it contains a [[fluorine]] atom and the geometry of the [[ribose]] ring at position 2' is reversed from that of normal DNA.
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  • {{r|Euclidean geometry}}
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  • Auto-populated based on [[Special:WhatLinksHere/Manifold (geometry)]]. Needs checking by a human.
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  • {{r|Algebraic geometry}}
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  • | sub1 = Differential geometry
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  • {{r|Geometry}}
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  • The geometry of the probe dictates the volume over which a constant magnitude [[RF field
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  • In [[geometry]] and, more generally, in [[topology]], In elementary geometry, for figures in the plane (like polygons, convex sets, ...)
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  • I am a Mathematician. PhD in Algebraic Geometry (a kind of generalization of L'Hôpital's Rule to vector fields in higher d
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  • {{r|Manifold (geometry)}}
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  • {{r|Solid (geometry)}}
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  • | pagename = Sphere (geometry) | abc = Sphere (geometry)
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  • | pagename = Hemisphere (geometry) | abc = Hemisphere (geometry)
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  • {{r|Reflection (geometry)}}
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  • ...he principal objects of study in modern [[algebraic geometry]]. Algebraic geometry began as the study of [[variety (mathematics)|varieties]], geometric figure ...braically closed]] field. By contrast, important problems in [[arithmetic geometry]] involve studying arithmetic properties of points on varieties, which cann
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  • {{r|Geometry}}
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  • ...emigroup theory, formal language theory and decision problems, and fractal geometry.
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  • {{r|Manifold (geometry)}}
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  • In [[algebraic geometry]], '''Kummer's quartic surface''' is an [[irreducible]] [[algebraic surface == Geometry of the Kummer surface ==
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  • In [[mathematics]], in [[Diophantine geometry]], the '''conductor of an abelian variety''' defined over a [[local field|l ...ook | author=S. Lang | authorlink=Serge Lang | title=Survey of Diophantine geometry | publisher=[[Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 | pages=70
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  • {{r|Manifold (geometry)}}
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  • {{r|Algebraic geometry}}
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  • ...Alexandria]] at the Museum founded by [[Ptolemy I]]. He systematized the [[geometry|geometric]] and [[arithmetic]] knowledge of his times in thirteen Books&mda *[[Euclidean geometry]]
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  • == Geometry v. calculus ==
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  • ...ld [[Jacobian|Jacobian (analysis)]] and [[Jacobians|Jacobian (differential geometry)]] be OK? Or do you have a better suggestion? --[[User:Paul Wormer|Paul Wor
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  • {{r|Algebraic geometry}}
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  • ...damental to certain fields such as [[differential geometry]], [[Riemannian geometry]] and [[general relativity]]. * [[Differential geometry]]
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  • In [[plane geometry]], a '''cyclic polygon''' is a [[polygon]] whose vertices all lie on one [[
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  • ...tion as intersection at infinity; in non-elementary texts (say, projective geometry) such notion exists, and it appears that parallel lines do intersect at inf ...s ''Elements'', Euclid has a "postulate" which is -- in the context of his geometry -- equivalent to (but different from) the "uniqueness of a parallel" (which
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  • Point-free geometry<br>
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  • {{r|Reflection (geometry)}}
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  • (from elementary geometry) to arbitrary dimensions ''n''. This generalization is obtained by extending the axioms of [[Euclidean geometry]]
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  • {{r|Reflection (geometry)}}
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  • {{r|Algebraic geometry}}
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  • Auto-populated based on [[Special:WhatLinksHere/Algebraic geometry]]. Needs checking by a human.
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  • ...rtillery and mortar]] systems can use POO information to plan [[engagement geometry]] for interception of the projectile, and to predict the [[point of impact]
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  • {{r|Geometry}}
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  • |title = On Quaternions and Octonions: Their Geometry, Arithmetic and Symmetry
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  • ...rs intended for parallel computing. Tasks the programs I have used involve geometry optimization, binding energy calculation (for complexes), and spectra predi
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  • ...separate page to discuss the notion of divisors in the sense of algebraic geometry (i.e., naively, divisors on curves, or more generally, Weil divisors, Carti
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  • ...logy, racism, Web security, representative apportionment, and differential geometry.
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  • In [[algebraic geometry]], the adjunction formula states that if <math>X, Y</math> are smooth algeb * ''Prniciples of algebraic geometry'', Griffiths and Harris, Wiley classics library, ISBN 0-471-05059-8 pp 146-
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  • ==[[Geometry]] topics== *[[List of differential geometry topics]]
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  • * Falconer, Kenneth. ''Fractal Geometry: Mathematical Foundations and Applications''. West Sussex: John Wiley & Son * Mandelbrot, Benoît B. ''The Fractal Geometry of Nature''. New York: W. H. Freeman and Co., 1982. ISBN 0-7167-1186-9
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  • A '''polygon''' is a two-[[dimension]]al [[geometry|geometric]] closed figure bounded by a continuous set of [[line segment]]s. A polygon, in [[Euclidean geometry]], must have at least three sides. A polygon of three sides is called a [[t
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  • *Programming OpenGL and computational geometry computer applications
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  • * In [[algebraic geometry]], there exists the notion of a [[Gröbner basis]] of an [[ideal]].
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  • ...fferential equation]]s theory, [[functional analysis]], and [[differential geometry]].
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  • {{r|Triangle geometry}}
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  • In [[geometry]] the '''law of cosines''' is a useful identity for determining an angle or
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  • {{r|Euclidean geometry}}
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  • : I see, thank you. However, this could be better used on the "Non-euclidean geometry" article rather than here. [[User:Boris Tsirelson|Boris Tsirelson]] 17:25, ...could be rather "Space ([http://en.wikipedia.org/wiki/Solid_geometry solid geometry])" or something like that? [[User:Boris Tsirelson|Boris Tsirelson]] 10:05,
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  • {{rpl|Altitude (geometry)}} {{rpl|Divisor (algebraic geometry)}}
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  • {{r|Euclidean geometry}}
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  • ...e [[equator]], measured in [[degree (angle)|degrees]]. The [[small circle (geometry)]] formed by the collection of points with the same latitude is often calle
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  • ...sh;that specify the position of a [[point (geometry)|point]] on a [[plane (geometry)|plane]].
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  • ...n the areas of Dynamical Systems, and especially Complex Dynamics (Fractal Geometry). My 3rd year essay, which I am writing at the moment, is on the Böttcher
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  • ...e (Euclidean geometry)|line]] (the ''directrix'') as from a given [[point (geometry)|point]] (the ''focus''). Alternatively, a parabola is the curve you get w ...ocal distance. All parabola with the same focal distance are [[congruence (geometry)|congruent]], meaning that given any parabola can be moved to any other par
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  • ...gic that can be vaguely and incorrectly described as generalised algebraic geometry. I am currently an assistant at the Kurt Gödel Research Center for Mathema
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  • In [[triangle geometry]], the '''incentre''' of a triangle is the centre of the '''incircle''', a
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  • *the area of a [[square (geometry)|square]] measuring 1 [[kilometre]] on each side
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  • ...al calculus]]. Combinatorics also studies [[code]]s, [[design]]s, [[finite geometry|finite geometries]] and [[Latin square]]s. Other branches are [[algebraic c
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  • ...s are kept constant. Partial derivatives are widely used in [[differential geometry]], [[vector calculus]], and [[physics]].
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  • ...-authors, 2008, and Hawthorne's Romances: Social Drama and the Metaphor of Geometry. London: Harwood Academic Press, 2000.
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  • ...y — that for any two of its points entirely contains the [[line (Euclidean geometry)|straight line]] joining them. ...l affine subspaces. In an axiomatic approach, basic concepts of elementary geometry, such as "point", "line" and "plane", are undefined primitives.
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  • In [[geometry]] a '''divisor''' on an [[algebraic variety]] is a formal sum (with integer
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  • ..., but he and Reimann invented somewhat different variants of non-Euclidean geometry approximately simultaneously. [[User:Sandy Harris|Sandy Harris]] ([[User ta
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  • In [[algebraic geometry]] the '''Riemann-Hurwitz formula''', named after [[Bernhard Riemann]] and [
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  • ...a mathematics teacher at Santa Fe High School, where he teaches Algebra I, Geometry Honors, and AP Calculus AB and BC. He also considers himself fortunate to
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  • ...y — that for any two of its points entirely contains the [[line (Euclidean geometry)|straight line]] joining them. ...l affine subspaces. In an axiomatic approach, basic concepts of elementary geometry, such as "point", "line" and "plane", are undefined primitives.
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  • Budapest, in computational geometry. For 15 years, I lectured there
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  • In [[algebraic geometry]] the '''Riemann-Roch theorem''' states that if <math>C</math> is a smooth good descriptions of the geometry of the linear system.
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  • ** [[Algebraic curve]] of [[genus (geometry)|genus]] one versus [[elliptic curve]].
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  • : In [[Euclidean geometry]], a '''line''' (sometimes called, more explicitly, a '''straight line''') : It is closely related to other basic concepts of geometry, especially, distance: it provides the shortest path between any two of its
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  • ...l mass'' of fissile material. Furthermore, the criticality depends on the geometry of the material. When a critical mass of fissile material is sufficiently
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  • ...te at Harvard, graduating in 2011. His interests include Topology algebra, geometry and combinations thereof.
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  • ...ed the velocity (direction of movement and value) at every moment (and the geometry of the space, if it is not simply the Euclidean space). --[[User:Peter Schm
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  • In [[Euclidian geometry]], the sum of the three interior angles of any triangle is 180 degrees. Th ...ing definitions on a circle, and analytic definitions which do not rely on geometry.
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  • ...a German mathematician who made important contributions to [[differential geometry]], the [[complex analysis|theory of functions]], and [[number theory]]. ...d that it could have any finite dimension. Riemann's work on differential geometry was carried on by the Italian school of mathematicians, such as [[Eugenio
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  • {{Notice|Plane (geometry)|N}} {{Notice|Line (Euclidean geometry)|N}}
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  • In [[geometry]], '''barycentric coordinates''' form a homogeneous coordinate system based
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  • Should this be renamed "algebraic geometry"?
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  • ...s. There is an English translation by D. E. Smith and M. L. Lantham (''The Geometry of René Descartes'', Dover, 1954).
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  • {{Image|Lacey D. Caskey, The Geometry of Greek Vases, p.37.jpg|right|250px|illustrating geometric proportions in <blockquote>Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the d
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  • {{r|Algebraic geometry}}
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  • ...including [[number theory]], [[statistics]], [[analysis]], [[differential geometry]], [[geodesy]], [[electromagnetism]], [[astronomy]], and [[optics]]. Gauss
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  • ...ld gradients are generated by passing current through coils of appropriate geometry.
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  • geometry, topology. I published various papers in scientific journals
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  • ...in contact, the [[normal force]] between the two surfaces, and the overall geometry of the bodies.
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  • ...gland in 1651. He had a prolonged dispute with John Wilkins, professor of geometry at Oxford, a much better mathematician, and this may have prevented him fro
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  • '''Euclid's Elements''' is the oldest systematic treatise on [[Euclidean geometry]]. For more than twenty centuries the ''Elements'' was the major textbook ...It then goes on to the formulation of the five [[postulates]] of Euclidean geometry:
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  • Arbarello, E.; Cornalba, M.; Griffiths, P. A.; Harris, J. Geometry of algebraic curves. Vol. I. Grundlehren der Mathematischen Wissenschaften
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  • ...t ship, and the vertical slope of the ship's hull, affected the engagement geometry. Even when the geometry was perfect, there were mechanical problems inside the fuze. Too hard an im
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  • ...the angle between the [[axis|axes]] which define a [[plane]] in [[analytic geometry]], units of area are called '''square ''unit''''', where ''unit'' is the un
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  • {{r|Differential geometry}}
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  • * Derrida, Jacques & Husserl, Edmund (1989). ''Edmund Husserl's Origin of Geometry: An Introduction''. University of Nebraska Press. ISBN
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  • ...aphy, I think the article should state why they are important in algebraic geometry, e.g. because they have a particularly simple model which can be written do ...could add just a few branches (mainly in analysis, probability and few in geometry/geometric measure theory; one) but do not want to override your work. Best,
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  • sources mention <i>geometry</i>; more about that later. More about <i>geometry</i>.<br>
    7 KB (1,063 words) - 02:25, 21 September 2008
  • ...> Radar targets associated with such threats are very different in speed, geometry, and distance than the aircraft and cruise missile targets for which AN/SPY
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  • ...type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]. Modular forms played a key rôle in [[Andrew Wiles
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  • * In [[triangle geometry]]
    2 KB (234 words) - 04:36, 22 November 2023
  • | pagename = square (geometry)
    2 KB (228 words) - 06:54, 22 January 2010
  • ...rojects, all of which required the use of the Solidworks and basic angular geometry and measurement. Most recently I have been working on a literary analysis e
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  • ...ence]]s. In mathematics, he made significant contributions to [[projective geometry]], [[probabilities]], and [[combinatorial mathematics]]. In physics, he stu
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  • ...ant" are also mapped to points which are also "distant". In [[differential geometry]], this means that one topological space can be deformed into the other by
    2 KB (265 words) - 07:44, 4 January 2009
  • In [[algebraic geometry]], an '''isogeny''' between [[abelian variety|abelian varieties]] is a [[ra ...r]]s is isomorphic to a quotient of the complex numbers by some [[lattice (geometry)|lattice]]. If ''E''<sub>1</sub> = '''C'''/''L''<sub>1</sub>, and ''L''<su
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  • [http://books.google.com/books?id=5N33Of2RzjsC&pg=PA12&dq=geometry++axiom+%22coordinate+system%22&lr=&as_brr=0&sig=ACfU3U3Vi7xsLiYiWCK0erF6X2g ...f [[geometry]] or of [[algebra]], in particular, a property of [[Manifold (geometry)|manifold]]s (for example, in physics, [[configuration space]]s or [[phase
    8 KB (1,313 words) - 04:07, 22 November 2023
  • include differential geometry, geometric analysis/PDEs, and their
    1 KB (218 words) - 03:58, 22 November 2023
  • {{r|Differential geometry}}
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  • ...ually distributed in many deposits, the value fluctuation also affects the geometry of the mineral deposit.
    2 KB (291 words) - 14:38, 7 September 2010
  • I am a second-year student of the Erasmus Mundus Program [[ALGANT]] (Algebra, Geometry, and Number Theory)--a joint degree in pure mathematics financed by the [[E
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  • *Geometry
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  • In [[algebraic geometry]] an '''Abelian surface''' over a [[field]] <math>K</math> is a two dimensi
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  • {{rpr|Absolute geometry}} {{rpr|Scaling (geometry)}}
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  • Hidetoshi, Fukagawa, and Tony Rothman. ''Sacred Mathematics: Japanese Temple Geometry''. Princeton UP, 2008.
    2 KB (223 words) - 00:38, 14 December 2009
  • ...try]], is an example of an '''affine space'''. Remember that in elementary geometry none of the points in the plane is special&mdash;there is no origin. A '''r From elementary geometry we know that any two points in a plane (a collection of infinitely many p
    15 KB (2,366 words) - 09:09, 4 April 2010
  • ...dited Thales with numerous discoveries and advances in [[astronomy]] and [[geometry]]. ...oretical basis. His name is associated with several basic propositions of geometry: 1) that a circle is bisected by a diameter; 2) the angles at the base of a
    6 KB (969 words) - 18:06, 31 October 2013
  • Theory?, What is Geometry?, What Mathematics from Africa? Open
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  • * Geometry: Topics covered may include triangle geometry, transformation geometry, inversion,
    6 KB (1,015 words) - 16:13, 6 May 2008
  • ...t sure about the ''exact'' definition (or usage) of either of the terms in geometry (Euklidean or otherwise) but in physics, they describe two slightly but imp ...r, I am not sure whether these distinctions should be made in the present (geometry-focused) article because I do not remember having seen the use of "barycent
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  • ...This is obtained by drawing [[perpendicular]] [[axis|axes]] in a [[plane (geometry)|plane]] which enable assigning a pair of [[coordinate]]s <math>(x,y)</math Otherwise, the graph of the equation will be a [[line (Euclidean geometry)|line]] in the plane, hence the name "linear equation". If the coefficient
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  • ...pace from classical to modern. For the classical approach, see [[Euclidean geometry]].</div> | [[geometry]] corresponds to an experimental reality
    28 KB (4,311 words) - 08:36, 14 October 2010
  • ...tical disciplines: [[algebra]], [[number theory]], [[combinatorics]] and [[geometry]]. On each day, the problems are in increasing order of difficulty, and the ...lects a ''shortlist'' with 6-10 problems each from algebra, number theory, geometry and combinatorics.
    7 KB (1,063 words) - 10:07, 28 February 2024
  • {{cite book |title=Geometry, particles, and fields |author=Bjørn Felsager |pages=p. 358 |url=http://bo
    2 KB (332 words) - 04:25, 12 October 2013
  • ...ce theorems, which allows us to change between the language of algebra and geometry.
    2 KB (338 words) - 10:01, 23 December 2008
  • In the area of [[differential geometry]] a topic of [[mathematics]] a '''Courant algebroid''' is the algebroid ver == Generalized complex geometry ==
    13 KB (2,084 words) - 03:51, 7 October 2013
  • ...perly! In fact, at the moment, this is true. With the tools of algebra and geometry, we cannot study the rate of change of this function. The '''derivative''' ...g the area beneath one on an interval is impossible with just the tools of geometry and algebra. We don't even know how to define area! In fact, the definition
    5 KB (912 words) - 09:26, 29 May 2009
  • ...to define sine and cosine in different ways. Two ways, one based on plane geometry and one based on differential equations, will be discussed below. ...cs, elementary [[algebra]] and 2-dimensional [[Euclidean geometry]] (plane geometry). <ref name="kiselev">
    19 KB (3,106 words) - 09:53, 10 October 2013
  • In [[Euclidean geometry]], the '''Pythagorean theorem''' states that:
    2 KB (369 words) - 16:12, 1 February 2010
  • ...le for carrying electronic signals uses thin wire, twisted into pairs; the geometry of the twist is very precise to preserve desired electronic characteristics
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  • In [[geometry]], the '''barycentre''' or '''centre of mass''' or '''centre of gravity'''<
    2 KB (375 words) - 22:54, 10 January 2009
  • ...xt which isn't a live link. After skipping around, found that submitting "Geometry/Definition" in the search field gets the definition.<br/>jnc> If [CZ:Defini
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  • ..., where I have been engaged both in teaching and research (mainly discrete geometry).
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  • ...s in spiral CT both is a matter of speed, and also of image quality as the geometry in a spiral scan is much more complex than the essentially sequential plana
    2 KB (343 words) - 06:57, 22 August 2008
  • ...ation]] in [[potential theory ]], [[Poisson's brackets]] in [[differential geometry]], and [[Poisson's ratio]] in [[elasticity]] are indicative of the scope an
    2 KB (317 words) - 11:12, 5 October 2009
  • ...ic]] 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
  • ...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
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  • == Molecular geometry == :''See main article [[molecular geometry]]''
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  • '''Étale morphism''' in [[algebraic geometry]], a field of mathematics, is an algebraic analogue of the notion of a loca
    2 KB (419 words) - 10:09, 30 May 2009
  • ...ent Greeks with their attempts to treat philosophy as a kind of linguistic geometry.
    2 KB (365 words) - 22:25, 12 February 2010
  • In [[Euclidean geometry]], a '''rigid motion''' is a transformation which preserves the geometrical
    3 KB (392 words) - 14:42, 28 November 2008
  • ...ributions were in the field of [[number theory]], especially [[diophantine geometry]], and he is best-known for his books, in particular ''Algebra'', his gradu ...ked on the geometric analogues of [[class field theory]] and [[diophantine geometry]]. Later he moved into [[diophantine approximation]] and [[transcendence th
    7 KB (1,058 words) - 07:16, 9 June 2009
  • ...und surface of the wheel maintains continuous contact with a flat [[plane (geometry)|plane]] and converts rotational energy into linear movement. [[Friction]]
    2 KB (354 words) - 06:46, 14 November 2010
  • ...ure bounded by a connected set of [[polygon]]s. A polyhedron, in Euclidian geometry, must have at least four faces. A polyhedron of four sides is called a tetr
    3 KB (369 words) - 22:54, 5 February 2010
  • ...c and Philosophical Concept, from Electrodynamics to String Theory and the Geometry of the Microscopic World |author=Luciano Boi |url=http://books.google.com/b
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  • The second problem is that of the Universe’s peculiar spacetime geometry. The Wilkinson Microwave Anistropy Probe (WMAP) has provided data that impl ...accurate to within 15 decimal places at the beginning to manifest the flat geometry of the universe today. The traditional Big Bang Theory does not provide an
    9 KB (1,494 words) - 05:47, 4 January 2010
  • ...n and physicist [[Tullio Levi-Civita]]&mdash;occurs mainly in differential geometry and mathematical physics where it is used to define the components of the (
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  • ...the propositions of [[Euclid]]'s classical work. Legendre's ''Elements of Geometry'' was to become the leading elementary text in most of Europe for around 10 ...e mathematics section. In 1803 [[Napoleon]] reorganized the Institut and a geometry section was created and Legendre was put into this section.
    6 KB (854 words) - 09:52, 24 July 2011
  • ...defined over arbitrartry fields (even finite ones), but in differfdential geometry you're pretty much limited to R (or C). But even in the case of algebraic s
    6 KB (1,080 words) - 19:17, 17 March 2010
  • ...mon. Examples include [[equality]] between numbers or other quantities; [[geometry|geometrical]] relations such as [[parallel]], [[congruence]], [[similarity]
    3 KB (477 words) - 17:43, 14 October 2009
  • ...above source material creates a circular definition with [[perpendicular (geometry)]]. An alternative, that does not depend on the definition of perpendicular *Even poor old Wikipedia has this to say: "In geometry and trigonometry, a right angle is an angle of 90 degrees, corresponding to
    9 KB (1,379 words) - 17:46, 6 February 2009
  • ...aced in a location such that the probe surrounds the sample. However, the geometry and placement of magnet, probe and sample may be changed if required. For ...ld gradients are generated by passing current through coils of appropriate geometry. Static magnetic field gradients are used for shimming. In addition pulse
    7 KB (1,077 words) - 11:05, 18 May 2009
  • ...be observed at ''P''. Fig. 2 illustrates a theorem known from high-school geometry: any exterior angle of a triangle is equal to the sum of the two interior a
    3 KB (470 words) - 12:45, 11 June 2009
  • Due to its large size, but need to operate from carriers, it had variable-geometry wings, which could be spread wide for slow carrier landing but folded to a
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  • ...es on the circumference of the same circle. A well-known theorem of plane geometry states that in that case &alpha; = &alpha;' , so that it follows that the a
    3 KB (502 words) - 12:32, 11 June 2009
  • ...ound applications in various mathematical disciplines, including algebraic geometry.
    3 KB (352 words) - 14:08, 23 August 2023
  • ...ds to be in bold). Certainly, because of these two uses and the algebraic geometry one, the [[divisor]] page should include a disambiguation.
    3 KB (449 words) - 14:19, 23 July 2009
  • | gen-articles-1 = Euclidean geometry
    3 KB (361 words) - 04:59, 27 August 2008
  • ...e as a noun. I think we have an article on Point; would you have it Point (Geometry)?, Well you do, but only to distinguish it from another noun use - would yo
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  • ...ent implements; it was his favorite <b>metaphor</b>, that the classics and geometry constituted that culture of the mind which prepared it for the reception of ...n intellectual stomach, and one's ingenious conception of the classics and geometry as ploughs and harrows seems to settle nothing. But then it is open to some
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  • 2003 The Fractal Geometry of Ancient Maya Settlement. ''Journal of Archaeological Science'' Vol. 30,
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  • ...SM-2. With another target course change, ''Churchill'' still has the best geometry to illuminate the target for the SM-2's final semi-active radar homing, and
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  • In [[analytic geometry]], a '''triple product''' is a common term for a product of three vectors '
    4 KB (583 words) - 13:16, 25 November 2009
  • ...aginary. At least in algebra, the distinction is a useful one, as it is in geometry. I realize I may not always express myself as well as I should, and that, a
    3 KB (511 words) - 09:31, 1 January 2010
  • * it is called "space" but is far from geometry; ''Fact:'' it is called "space" but is far from geometry.
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  • [[Image:MASINT-Sensor-geometry.png|thumb|Remote Sensing Geometry-- relationships between scanning sensor and target]]
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  • ...There, he showed an exceptional talent for mathematics, and especially for geometry; at the age of 14 he was awarded the degree of MA, for his thesis "On the p ...MacLaurin's intent was to found the doctrine of fluxions (the calculus) on geometry, thereby answering all objections to it as being “founded on false reason
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  • ...ressley>{{cite book |author=Andrew Pressley |title=Elementary Differential Geometry |page=p. 183 |url=http://books.google.com/books?id=UXPyquQaO6EC&pg=PA185&dq ...of ''S'', then γ is a geodesic.|Andrew Pressley: ''Elementary Differential Geometry'', p. 183}}
    8 KB (1,320 words) - 12:25, 6 March 2011
  • ...elation]]s such as "greater than" or "less than" between [[magnitude]]s; [[geometry|geometrical]] relations such as [[parallel]], [[congruence]], [[similarity]
    4 KB (684 words) - 11:25, 31 December 2008
  • ...>4</sub> (eg, CCl<sub>4</sub>): sp³ hybridisation; [[tetrahedral molecular geometry|tetrahedral]] shape; bond angles are cos<sup>-1</sup>(-1/3) ≈ 109.5° ...(eg, PCl<sub>5</sub>): sp³d hybridisation; [[Trigonal bipyramid molecular geometry|trigonal bipyramidal]] shape
    14 KB (2,154 words) - 09:32, 12 November 2007
  • ...operties of complex numbers and as a tool in applying complex numbers to [[geometry|geometrical]] and [[physics|physical]] problems. ...ation (geometry)|Translation]] corresponds to complex addition, [[scaling (geometry)|scaling]] to multiplication by a real number, and [[rotation]] to multipli
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  • | plans-wk-1 = Work on geometry articles
    4 KB (521 words) - 14:14, 12 October 2008
  • ...e studied and used to solve quantitative problems in finance, engineering, geometry (mensuration), and such fields. The basic arithmetic operations are additio
    4 KB (562 words) - 18:28, 5 January 2010
  • A [[circle (geometry)|circle]] (in the plane) &mdash; more precisely: an arc of a circle &mdash;
    4 KB (680 words) - 05:33, 2 February 2010
  • ...of science (until a level requiring higher mathematics skills is reached), geometry, and creative arts. But, inconsistent results when completing addition, sub
    4 KB (631 words) - 03:57, 7 October 2013
  • #[[Line (Euclidean geometry)/Citable Version]] #[[Plane (geometry)/Citable Version]]
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  • ...997. ISBN 0-471-92287-0</ref> and use the term ''fractal'' to refer to a [[geometry|geometric]] object that has (most of) the following features * no easy description in the language of traditional Euclidean geometry
    14 KB (2,043 words) - 12:19, 11 June 2009
  • In [[algebraic geometry]] and in the theory of [[Riemann surfaces]] a '''hyperelliptic curve''' is * E. Arbarello, M. Cornalba, P. Griffiths, J. Harris: ''Geometry of Algebraic Curves, I''. Grund. series, vol. 267, Springer. ISBN 03879099
    9 KB (1,597 words) - 15:29, 4 December 2007
  • ...positive real roots. The construction is due to the Pythagorean School of geometry. ...Persian people|Persian]] mathematician [[Omar Khayyam]] develops algebraic geometry and, in the ''Treatise on Demonstration of Problems of Algebra'', gives a c
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  • *Differential Geometry
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  • ...provided with an origin. The Euclidean plane, well-known from high-school geometry, is a collection of points (a 2-dimensional [[affine space]]) between which
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  • The curvature of space, or '''spacetime''' geometry, also refers to the shape of the universe. The concept of curved space orig Negative spacetime geometry is depicted as a pseudosphere, for example a '''hyperboloid''' which appear
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  • ([[diophantine geometry]]). Questions in number theory are often best understood through ====Diophantine geometry====
    27 KB (4,383 words) - 08:05, 11 October 2011
  • ...t electronically excited states of these triatomic molecules have a linear geometry and they observed in these excited states an unusual type of vibronic struc
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  • The '''tangent space''' of a [[manifold_(geometry)|differentiable manifold]] M is a [[vector space]] at a point p on the mani
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  • ...rs is definitely of great interest. In particular, the fact that it was [[geometry]] that made it necessary to think about the concept in the first place is o
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  • :: [[point]] [[line]] [[plane]] [[solid (geometry)|solid]] stubs ...so [[/List of mathematical topics#calculus topics|here]] (pre-calculus or geometry sections)
    24 KB (3,085 words) - 08:58, 23 March 2021
  • ...ok of differential- and integral-calculus and first principles of analytic geometry with special attention to the applications in science] E. J. Brill (Leiden)
    4 KB (579 words) - 04:44, 24 November 2008
  • ...s is very difficult and was the genesis of the modern field of [[algebraic geometry]], which itself is used in modern [[theoretical physics]].
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  • {{Image|Sangaku example.png|right|150px|Geometry was the most frequent type of problems that appeared on the sangaku tablets ...takeoff, Japanese mathematics steadily progressed, primarily in areas of [[geometry]] and [[number theory]],<ref name="okumura80">Okumura, 2009. pp.&nbsp;80</r
    15 KB (2,247 words) - 10:12, 28 February 2024
  • ...erent forms. These forms are categorized in several ways, depending on the geometry or the chemistry of the structures. The most ordered forms, i.e., the form
    4 KB (698 words) - 02:42, 10 February 2010
  • ...r decided to hire a private teacher, al-Natali, who taught him arithmetic, geometry, logic, natural sciences and astronomy. He also studied Muslim jurisprudenc
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  • ...effect on [[gyrification]] (cf. [[CZ:Ref:Hofman 1989 On the evolution and geometry of the brain in mammals|Hofman 1989]] and [[CZ:Ref:Casanova 2004 Reduced Br
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  • ...z | authorlink2=Gisbert Wüstholz | title=Logarithmic Forms and Diophantine Geometry | series=New Mathematical Monographs | volume=9 | publisher=[[Cambridge Uni ...k | author=Gary Cornell | coauthors=Joseph H. Silverman | title=Arithmetic geometry | year=1986 | publisher=[[Springer-Verlag]] | isbn=0-387-96311-1 }}
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  • If one considers the geometry between the radar and the SART, the aircraft has a much better angle to sep
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  • Article for [[Solid_(geometry)|sphere]] has been created. Well, the start of an article, anyway. Ain't no ...ere, but nothing can truly ''be'' a sphere either. More edits to [[Sphere_(geometry)]] [[User:Mark Widmer|Mark Widmer]] ([[User talk:Mark Widmer|talk]]) 01:28,
    10 KB (1,578 words) - 08:46, 25 January 2021
  • Together with [[geometry]], [[mathematical analysis|analysis]], and [[number theory]], algebra is o ...and algebras over a field are investigated in the presence of a natural [[geometry|geometric]] structure (a [[topology]]) which is compatible with the algebra
    18 KB (2,669 words) - 08:38, 17 April 2024
  • ...he amount that the set fills the space around it. For example, a [[plane (geometry)|plane]] would have a Hausdorff dimension of 2, because it fills a 2-parame Benoît Mandelbrot discovered<ref>B.B. Mandelbrot: ''The fractal geometry of nature'', Freemann '''(1983)''', ISBN 978-0-716-711-865</ref> that many
    15 KB (2,549 words) - 09:18, 17 February 2012
  • ...term still reminds me of the order in which students entered the room for geometry class; I was generally last. --[[User:Howard C. Berkowitz|Howard C. Berkowi
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  • ...[mathematics]] concerned with analysis of random phenomena. Like algebra, geometry and other parts of mathematics, probability theory has its origins in the
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  • This geometry lets it detect targets below the coverage of air control traffic radar.<ref
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  • He also wrote elementary texts such as ''[[Trigonometry]]'' and ''[[Analytic Geometry]]''. His final book was ''Leçons sur les méthodes de Sturm dans la théor
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  • ...). The Venn diagram may be viewed on its own as a subject of geometry (the geometry of intersecting shapes subject to certain aesthetic rules) or as a tool use
    11 KB (1,760 words) - 09:20, 15 June 2012
  • ** Geometry
    4 KB (462 words) - 04:22, 22 November 2023
  • {{rpr|Point (geometry)}} 977 {{rpr|Plane (geometry)}} 868
    7 KB (789 words) - 11:16, 23 February 2024
  • ...operties of complex numbers and as a tool in applying complex numbers to [[geometry|geometrical]] and [[physics|physical]] problems. ...<math>z</math> by <math>\pi/2</math> (that is, 90 degrees). [[Translation (geometry)|Translation]] corresponds to complex addition, [[scale|scaling]] to multip
    20 KB (3,304 words) - 17:11, 25 August 2013
  • ...o the expressiveness of [[positional number system]]s, the usefulness of [[geometry|geometric objects]], and the advances in different scientific fields, it ca In [[geometry]], a number can be represented in different ways. For instance, the length
    11 KB (1,701 words) - 20:07, 1 July 2021
  • ...system|set of axes]], within which to measure the position, [[orientation (geometry)|orientation]], and other properties of objects. More generally, a ''frame ...outside an isolated sphere<ref name= Faber>{{cite book |title=Differential Geometry and Relativity Theory: an introduction |author=Richard L Faber |url=http://
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  • ...published in 1701 (2nd ed. 1713). In these he discusses the application of geometry to physic, the circulation of the blood in the smaller vessels, the differe
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  • ...onic wave functions as a function of an infinitesimally changing nuclear geometry is reminiscent of the conditions for the [[adiabatic theorem]], this manner geometry. The method would give a discontinuity (jump) in the PES if electronic stat
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  • ...ebraic geometry article, i.e. is quite technical and studies the algebraic geometry of elliptic curves. I wonder if this is the best way to introduce the subje ...yond just that one article. There is significant overlap between algebraic geometry and number theory and a number of articles might benefit from having dual p
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  • ...on]]), naturally followed. Monolithic monuments testify to knowledge of [[geometry]]. | title = Sidelights on Relativity (Geometry and Experience)
    30 KB (4,289 words) - 16:03, 20 January 2023
  • ==Word geometry==
    11 KB (1,491 words) - 10:28, 8 November 2009
  • ...country|countries]] or [[province]]s in a flat surface known as a [[plane (geometry)|plane]] such that no two [[adjacent]] regions with a common [[boundary]] h ...ansmitters are like ''dots'' or ''nodes'' connected by ''[[line (Euclidean geometry)|lines]]'', then it's possible to imagine the transmission channels as if t
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  • | title = The geometry of musical structure: a brief introduction and history
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  • The '''Hill [[Sphere_(geometry)|sphere]]''' (or Roche sphere, not to be confused with the Roche ''limit'')
    6 KB (1,003 words) - 20:54, 29 August 2021
  • :::A carrier can steam at about 65 km/hr. What is the plausible engagement geometry for an anti-shipping cruise missile to engage it? The closer the cruise mis
    5 KB (760 words) - 14:18, 27 April 2010
  • ...pt platforms (e.g., aircraft, satellites, etc.) that have better intercept geometry, or perhaps use other methods of recognizing the existence of a signal, suc
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  • Figure "Remote Sensing Geometry" illustrates several key aspects of a scanning sensor. Image:MASINT-Sensor-geometry.png|thumb|Remote Sensing Geometry-- relationships between scanning sensor and target
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  • ...eapons -- it's more instanteous feasibility of an aspect of the engagement geometry, with the addition of capabilities of sensors, directional control, and war
    5 KB (741 words) - 16:59, 18 March 2011
  • ...zed by [[Élie Cartan]] and remains an important approach to [[differential geometry]].
    15 KB (2,535 words) - 20:29, 14 February 2010
  • ...y convex]] spaces; metric generalizations of the notions of [[differential geometry]]; metric properties of the metric spaces which appear in other branches of
    6 KB (1,068 words) - 07:30, 4 January 2009
  • ...ntains a propellant with a high burning rate and strongly digressive grain geometry could be equal to the burning time of a charge that contains a propellant w a low burning rate and strongly progressive grain geometry." Short burning times are necessary in short-barreled firearms, which have
    14 KB (2,181 words) - 09:14, 5 May 2024
  • * "similar" is interpreted as usual in elementary geometry: triangles related by a dilation (in other words, "triangles with the same
    6 KB (944 words) - 08:32, 14 October 2013
  • * "similar" is interpreted as usual in elementary geometry: triangles related by a dilation (in other words, "triangles with the same
    6 KB (944 words) - 15:09, 23 September 2013
  • ...metry, where Carnap distinguished physical geometry as synthetic, and pure geometry as pure analytic. In the debate with Quine Carnap tried to define analytic
    15 KB (2,251 words) - 14:06, 2 February 2023
  • '''Stereology''' is the science of [[Estimation|estimating]] or measuring [[Geometry|geometric]] quantities. A geometric quantity is something like [[length]] o
    5 KB (915 words) - 19:49, 1 January 2009
  • Because the trigonometric functions are basic to [[geometry]] and applied mathematics, they are also considered elementary. The two mos
    8 KB (1,289 words) - 13:46, 26 May 2009
  • * <math>\Sigma</math> is the operation constant representing the geometry and speed of the centrifuge.
    5 KB (826 words) - 10:57, 3 October 2021
  • * DeGandt, François. ''Force and Geometry in Newton's Principia.'' Princeton U. Press, 1995. 296 pp.
    8 KB (1,049 words) - 11:57, 31 January 2008
  • ...s that involve algebraic structures, such as algebraic topology, algebraic geometry, and algebraic number theory. A strong understanding of module theory is e
    7 KB (1,154 words) - 02:39, 16 May 2009
  • <blockquote>Since the principles of certain sciences, such as logic, geometry and arithmetic are taken only from the formal principles of things, on whic ...might as well ask, "If given the axioms of [[elliptic geometry|Riemannian geometry]], can an omnipotent being create a triangle whose angles ''do not'' add up
    23 KB (3,644 words) - 17:50, 3 November 2013
  • ==Analytic geometry== I added some high-school-level analytic geometry plus two drawings. --[[User:Paul Wormer|Paul Wormer]] 10:46, 1 April 2010 (
    25 KB (4,086 words) - 17:59, 12 May 2010
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