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- ...[[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.2 KB (232 words) - 03:09, 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
- In [[triangle geometry]], a '''median''' of a [[triangle]] is a line joining one [[vertex]] to the452 bytes (71 words) - 17:00, 24 November 2008
- ...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 described3 KB (468 words) - 08:24, 24 March 2010
- * {{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
- 1 KB (246 words) - 07:18, 12 August 2021
- ...the angle between the [[axis|axes]] which define a [[plane]] in [[analytic geometry]], units of area are called '''square ''unit''''', where ''unit'' is the un1 KB (243 words) - 16:35, 22 January 2010
- ...damental to certain fields such as [[differential geometry]], [[Riemannian geometry]] and [[general relativity]]. * [[Differential geometry]]5 KB (805 words) - 17:01, 28 November 2008
- 794 bytes (137 words) - 16:13, 5 February 2009
- ...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/>}}2 KB (287 words) - 10:43, 11 June 2009
- {{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 si247 bytes (39 words) - 21:49, 24 January 2021
- 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.5 KB (852 words) - 05:23, 17 April 2010
- 12 bytes (1 word) - 14:08, 26 September 2007
- 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]]671 bytes (102 words) - 14:53, 12 February 2009
- [[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
- [[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 '''∟''', bisect832 bytes (148 words) - 17:48, 6 February 2009
- ...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
- In [[geometry]], a '''lattice''' is a discrete subgroup of a real [[vector space]].96 bytes (14 words) - 13:26, 1 February 2009
- 81 bytes (10 words) - 10:36, 6 April 2010
- [[Image:Perpendicular (geometry).png|frame|Diagram showing the perpendicular (in bright red)]] In [[Euclidean geometry]]:344 bytes (50 words) - 23:23, 20 February 2010
- In [[Euclidean geometry]], a '''reflection''' is a linear operation σ on <font style="vertica8 KB (1,366 words) - 09:12, 10 August 2009
- 33 bytes (3 words) - 20:21, 8 January 2008
- ...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.16 KB (2,638 words) - 03:10, 8 March 2024
- ...]] and [[depth]]. A solid is made up of an [[infinite]] number of [[plane (geometry)|planes]].173 bytes (24 words) - 20:40, 16 April 2009
- #REDIRECT [[rectilinear angle (geometry)]]42 bytes (4 words) - 11:53, 21 October 2008
- 72 bytes (8 words) - 16:46, 24 May 2008
- 186 bytes (30 words) - 19:08, 4 September 2009
- 12 bytes (1 word) - 18:29, 14 November 2007
- 161 bytes (22 words) - 20:45, 19 October 2008
- 114 bytes (13 words) - 19:27, 4 September 2009
- 12 bytes (1 word) - 23:36, 14 November 2007
- * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]205 bytes (27 words) - 17:39, 23 November 2008
- Form of geometry first codified by Euclid in his series of thirteen books, ''The Elements''.128 bytes (18 words) - 12:21, 22 January 2009
- 119 bytes (15 words) - 19:29, 22 March 2010
- 147 bytes (19 words) - 19:45, 24 January 2021
- 146 bytes (18 words) - 09:55, 4 August 2008
- 12 bytes (1 word) - 11:47, 26 September 2007
- 107 bytes (16 words) - 07:14, 12 February 2009
- 108 bytes (13 words) - 20:40, 4 September 2009
- 68 bytes (9 words) - 06:55, 22 January 2010
- 17 bytes (4 words) - 21:45, 24 January 2021
- [[Image:angle (geometry).png|frame|left|Diagram showing the terminology of an angle including arms In [[Euclidean geometry]]:1 KB (234 words) - 06:20, 22 October 2008
- ...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|''5 KB (808 words) - 00:14, 22 December 2007
- 67 bytes (7 words) - 11:15, 26 November 2008
- 111 bytes (16 words) - 10:36, 6 April 2010
- 12 bytes (1 word) - 02:44, 22 December 2007
- 12 bytes (1 word) - 16:37, 23 December 2007
- {{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
- 79 bytes (11 words) - 13:32, 29 November 2008
- 12 bytes (1 word) - 20:46, 19 October 2008
- 12 bytes (1 word) - 15:15, 10 November 2007
- In Euclidean geometry, a distance preserving transformation that reverses orientation122 bytes (13 words) - 14:29, 18 July 2009
- (of lines or planes) In elementary geometry: having no point in common.108 bytes (15 words) - 19:24, 16 April 2010
- 392 bytes (35 words) - 12:09, 5 August 2010
- In [[geometry]] a '''divisor''' on an [[algebraic variety]] is a formal sum (with integer818 bytes (138 words) - 10:54, 18 February 2009
- #REDIRECT [[Line (Euclidean geometry)/Definition]]50 bytes (5 words) - 04:56, 14 September 2020
- 98 bytes (15 words) - 10:44, 24 August 2008
- 116 bytes (18 words) - 12:57, 23 November 2008
- ...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
- 12 bytes (1 word) - 09:49, 13 November 2007
- {{r|Elementary geometry}} {{r|Analytic geometry}}325 bytes (34 words) - 06:57, 22 November 2009
- #REDIRECT [[Line (Euclidean geometry)/Approval]]48 bytes (5 words) - 04:56, 14 September 2020
- Auto-populated based on [[Special:WhatLinksHere/Prism (geometry)]]. Needs checking by a human.475 bytes (60 words) - 19:43, 11 January 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
- #REDIRECT [[Line (Euclidean geometry)/Related Articles]]56 bytes (6 words) - 04:56, 14 September 2020
- {{r|Euclidean geometry}} {{r|Differential geometry}}250 bytes (27 words) - 08:21, 24 March 2010
- 87 bytes (12 words) - 15:08, 15 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Reflection (geometry)]]. Needs checking by a human.442 bytes (56 words) - 19:57, 11 January 2010
- 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
- Auto-populated based on [[Special:WhatLinksHere/Solid (geometry)]]. Needs checking by a human. {{r|Geometry}}485 bytes (63 words) - 03:57, 24 September 2013
- {{r|Euclidean geometry}} {{r|Non-Euclidean geometry}}292 bytes (34 words) - 03:09, 8 March 2024
- {{r|Triangle geometry}}851 bytes (136 words) - 17:40, 23 November 2008
- Auto-populated based on [[Special:WhatLinksHere/Lattice (geometry)]]. Needs checking by a human. {{r|Geometry}}498 bytes (63 words) - 18:00, 11 January 2010
- 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
- 213 bytes (28 words) - 02:28, 6 April 2010
- 12 bytes (1 word) - 00:18, 22 December 2007
- Auto-populated based on [[Special:WhatLinksHere/Algebraic geometry]]. Needs checking by a human.898 bytes (114 words) - 10:49, 11 January 2010
- {{r|Euclidean geometry}}172 bytes (18 words) - 20:07, 7 March 2024
- #REDIRECT [[Line (Euclidean geometry)/Citable Version]]55 bytes (6 words) - 11:17, 21 March 2021
- 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
- Auto-populated based on [[Special:WhatLinksHere/Altitude (geometry)]]. Needs checking by a human.519 bytes (65 words) - 10:51, 11 January 2010
- 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
- 80 bytes (9 words) - 06:04, 4 September 2009
- 416 bytes (37 words) - 04:56, 14 September 2020
- {{r|Euclidean geometry}}607 bytes (78 words) - 06:51, 22 January 2010
- (or '''straight line''') In elementary geometry, a maximal infinite curve providing the shortest connection between any two175 bytes (23 words) - 04:56, 14 September 2020
- A form of geometry in which the primitive notion is that of "region" rather than "point".125 bytes (19 words) - 12:36, 30 November 2008
- ...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.16 KB (2,609 words) - 03:09, 8 March 2024
- Auto-populated based on [[Special:WhatLinksHere/Manifold (geometry)]]. Needs checking by a human.580 bytes (72 words) - 18:18, 11 January 2010
- 89 bytes (12 words) - 17:25, 6 December 2008
- 125 bytes (15 words) - 12:21, 13 December 2008
- 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
- 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
- {{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
- {{Subgroup|Differential geometry}}34 bytes (3 words) - 04:49, 14 May 2023
- {{r|Euclidean geometry}} {{r| Point (geometry)}}252 bytes (30 words) - 04:56, 14 September 2020
- 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
Page text matches
- 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.2 KB (232 words) - 03:09, 8 March 2024
- {{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
- *[[pyramid (geometry|pyramids]], where one plane contains only one vertex *[[wedge (geometry)|wedges]], where one plane contains two vertices900 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 als335 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=052133943X933 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 si247 bytes (39 words) - 21:49, 24 January 2021
- #REDIRECT [[Surface (geometry)]]32 bytes (3 words) - 07:23, 11 May 2007
- #REDIRECT [[Square (geometry)]]31 bytes (3 words) - 06:51, 22 January 2010
- #REDIRECT [[Manifold (geometry)]]33 bytes (3 words) - 19:05, 12 July 2007
- #REDIRECT [[Parallel (geometry)]]33 bytes (3 words) - 11:18, 16 March 2010
- {{Subgroup|Differential geometry}}34 bytes (3 words) - 04:49, 14 May 2023
- #REDIRECT [[Altitude (geometry)]]33 bytes (3 words) - 16:48, 24 November 2008
- #REDIRECT [[Altitude (geometry)]]33 bytes (3 words) - 16:49, 24 November 2008
- #REDIRECT [[Divisor (algebraic geometry)]]42 bytes (4 words) - 16:12, 6 December 2008
- #REDIRECT [[rectilinear angle (geometry)]]42 bytes (4 words) - 11:53, 21 October 2008
- #REDIRECT [[Rectilinear angle (geometry)]]42 bytes (4 words) - 17:15, 1 November 2008
- #REDIRECT [[Divisor (algebraic geometry)]]42 bytes (4 words) - 15:12, 17 December 2008
- #REDIRECT [[Point-free geometry]]33 bytes (3 words) - 12:30, 30 November 2008
- #REDIRECT [[Prism (geometry)/Definition]]41 bytes (4 words) - 20:45, 19 October 2008
- In [[algebraic geometry]], [[differential geometry]], and [[differential topology]] the canonical sheaf is the top [[wedge pro247 bytes (27 words) - 11:21, 6 May 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
- ...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}}384 bytes (49 words) - 16:43, 22 January 2010
- #REDIRECT [[Line (Euclidean geometry)/Citable Version]]55 bytes (6 words) - 11:17, 21 March 2021
- #REDIRECT [[Line (Euclidean geometry)/Related Articles]]56 bytes (6 words) - 04:56, 14 September 2020
- {{r|Circle (geometry)}} {{r|Cone (geometry)}}262 bytes (33 words) - 11:03, 4 May 2010
- {{r|Shape (geometry)|In geometry}}109 bytes (17 words) - 11:48, 31 May 2009
- The plane known from high-school planar geometry.85 bytes (10 words) - 09:56, 15 November 2008
- [[Image:angle (geometry).png|frame|left|Diagram showing the terminology of an angle including arms In [[Euclidean geometry]]:1 KB (234 words) - 06:20, 22 October 2008
- {{r|Line (Euclidean geometry)}} {{r|Plane (geometry)}}879 bytes (114 words) - 03:09, 8 March 2024
- *[http://hermay.org/jconstant/wasan/ Wasan geometry]161 bytes (20 words) - 08:27, 13 December 2009
- 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 (triangle1 KB (163 words) - 15:47, 25 November 2008
- {{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 orientation122 bytes (13 words) - 14:29, 18 July 2009
- {{r|Triangle geometry}} {{r|Analytical geometry}}122 bytes (13 words) - 09:27, 26 November 2008
- * In [[triangle geometry]] ** The [[centroid]], intersection of the [[median (geometry)|median]]s937 bytes (133 words) - 18:51, 12 February 2009
- {{r|Sector (geometry)|In geometry}}124 bytes (16 words) - 11:47, 31 May 2009
- {{r|Region (geometry)|In geometry}}120 bytes (16 words) - 11:47, 31 May 2009
- {{r|Sphere (geometry)|In geometry}}124 bytes (16 words) - 11:49, 31 May 2009
- In Euclidean geometry, triangles which can be superposed by a rigid motion.111 bytes (15 words) - 14:40, 28 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
- 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 [[triangle geometry]], a '''Cevian line''' is a line in a [[triangle]] joining a [[vertex]] of * The [[altitude (geometry)|altitude]]s, meeting at the [[orthocentre]]1 KB (157 words) - 22:12, 7 February 2009
- 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 dim454 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)}}487 bytes (62 words) - 19:39, 11 January 2010
- A form of geometry in which the primitive notion is that of "region" rather than "point".125 bytes (19 words) - 12:36, 30 November 2008
- {{r|Geometry}} {{r|Triangle geometry}}231 bytes (27 words) - 13:09, 23 November 2008
- 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''.128 bytes (18 words) - 12:21, 22 January 2009
- Auto-populated based on [[Special:WhatLinksHere/Lattice (geometry)]]. Needs checking by a human. {{r|Geometry}}498 bytes (63 words) - 18:00, 11 January 2010
- {{rpl|Second (geometry)}}63 bytes (7 words) - 05:51, 24 September 2013
- (or '''straight line''') In elementary geometry, a maximal infinite curve providing the shortest connection between any two175 bytes (23 words) - 04:56, 14 September 2020
- {{r|Plane (geometry)}} {{r|Point (geometry)}}532 bytes (68 words) - 19:37, 11 January 2010
- In [[geometry]], a '''lattice''' is a discrete subgroup of a real [[vector space]].96 bytes (14 words) - 13:26, 1 February 2009
- ...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/>}}2 KB (287 words) - 10:43, 11 June 2009
- {{r|Development (differential geometry)|In differential geometry}}289 bytes (32 words) - 16:48, 12 June 2009
- German mathematician (1826-1866) notable for [[differential geometry]], [[theory of functions|function theory]], and [[number theory]].171 bytes (18 words) - 10:52, 31 May 2009
- 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.125 bytes (17 words) - 06:59, 4 September 2009
- In geometry and topology, a set that contains its [[boundary point|boundary]]; the comp150 bytes (21 words) - 19:23, 30 September 2009
- The overall deviations of a [[surface]] from a [[plane (geometry)|plane]].110 bytes (14 words) - 07:16, 7 April 2010
- 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]]671 bytes (102 words) - 14:53, 12 February 2009
- In geometry and topology, a point of a set that is not a [[boundary point]].113 bytes (18 words) - 18:42, 30 September 2009
- The [[area (geometry)|area]] covered by the outer layer of the [[cerebral cortex]].119 bytes (16 words) - 09:46, 7 April 2010
- ==In algebraic geometry== In [[algebraic geometry]], a generic point of an [[algebraic variety]] is a point for which the coo1 KB (240 words) - 20:00, 7 February 2009
- {{rpl|Line (Euclidean geometry)}}70 bytes (8 words) - 11:25, 21 March 2021
- {{r|Polarization (algebraic geometry)}}82 bytes (8 words) - 11:07, 31 May 2009
- * {{cite book | title=Groups and Geometry | author=Peter M. Neumann | coauthors=Gabrielle A. Stoy, Edward C. Thompson206 bytes (27 words) - 12:42, 16 November 2008
- * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]205 bytes (27 words) - 17:32, 24 November 2008
- * {{cite book | author=H.S.M. Coxeter | coauthors=S.L. Greitzer | title=Geometry revisited | series=New Mathematical Library | volume=19 | publisher=[[MAA]]205 bytes (27 words) - 17:39, 23 November 2008
- {{r|Analytic geometry}} {{r|Defect (geometry)}}938 bytes (125 words) - 06:57, 12 June 2009
- ...the [[finite element method]], i.e. multiple smaller surfaces of a simpler geometry.165 bytes (23 words) - 06:01, 3 August 2010
- *{{r|Point (geometry)}}61 bytes (7 words) - 12:18, 31 May 2009
- {{r|Prism (geometry)}}57 bytes (7 words) - 12:25, 31 May 2009
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- | title = The Geometry of Schemes234 bytes (26 words) - 07:32, 27 July 2008
- ...| author=Serge Lang | authorlink=Serge Lang | title=Survey of Diophantine geometry | publisher=[[Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 | pages=25198 bytes (24 words) - 02:23, 16 December 2008
- ...puting''' focuses on [[computer|computational]] problems in the field of [[geometry]]. Most problems involve efficient and robust [[algorithm]]s which can be e210 bytes (28 words) - 19:05, 12 February 2008
- {{r|Euclidean geometry}} {{r|Geometry}}927 bytes (119 words) - 16:24, 11 January 2010
- {{rpl|Solid (geometry)}}95 bytes (12 words) - 03:54, 24 September 2013
- An explanation of the phenomena of gravity as an effect of masses upon the geometry of space and time101 bytes (19 words) - 14:07, 2 September 2013
- ...logy may be viewed as the search for solutions of problems relating to the geometry of position in the true sense of the term.1 KB (206 words) - 14:09, 29 December 2008
- {{r|Plane (geometry)}}101 bytes (13 words) - 12:14, 13 September 2013
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- {{rpl|Ball (geometry)}}117 bytes (16 words) - 15:47, 26 September 2020
- [[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 '''∟''', bisect832 bytes (148 words) - 17:48, 6 February 2009
- {{r|Linear system (algebraic geometry)}}73 bytes (9 words) - 02:39, 16 May 2009
- A [[map projection|projection]] onto a [[plane (geometry)|plane]].102 bytes (12 words) - 14:22, 20 May 2010
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- {{r|Genus (algebraic geometry)}}113 bytes (14 words) - 03:41, 30 July 2009
- 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]]1 KB (162 words) - 14:05, 8 March 2009
- {{r|Divisor (algebraic geometry)}}133 bytes (17 words) - 02:37, 16 May 2009
- {{r|Area (geometry)}}108 bytes (13 words) - 09:39, 7 April 2010
- 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> surface2 KB (305 words) - 02:21, 4 November 2007
- *Diamond, shape called rhombus in geometry and lozenge in heraldry264 bytes (34 words) - 06:45, 23 November 2022
- * [[Congruence (geometry)]]375 bytes (42 words) - 03:34, 30 August 2010
- {{r|Translation (geometry)}}160 bytes (16 words) - 15:30, 31 October 2014
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- Formula of algebraic geometry and complex manifold theory relates, for a hypersurface, its normal bundle,225 bytes (31 words) - 05:57, 4 September 2009
- ...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|''5 KB (808 words) - 00:14, 22 December 2007
- ...lso refer to similarly defined curves on other two-dimensional [[Manifold (geometry)|manifolds]].2 KB (298 words) - 22:10, 14 December 2020
- {{r|Geometry}} {{r|Fractal geometry}}1 KB (184 words) - 06:32, 3 February 2010
- (of a set) In geometry and topology, a point such that every neighbourhood contains both points in170 bytes (28 words) - 18:49, 30 September 2009
- ...', 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 41,005 bytes (121 words) - 16:33, 1 December 2008
- ==In Euclidean geometry== In Euclidean geometry, the statement is as follows:2 KB (414 words) - 08:12, 16 April 2009
- {{rpl|Hemisphere (geometry)}}217 bytes (30 words) - 09:56, 20 February 2024
- In geometry and topology, a point of a set which is not in the set and is not a [[bound136 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]], a385 bytes (48 words) - 00:30, 31 March 2008
- *{{cite book |title=Differential geometry with applications to mechanics and physics |author=Yves Talpaert |url=http:399 bytes (52 words) - 18:07, 20 March 2011
- ...ich affect the Accuracy of Barometrical Measurements," and his Elements of Geometry, all already referred to, being the most important. His lives of Matthew St1 KB (210 words) - 11:17, 27 February 2009
- {{r|Power (geometry)}}284 bytes (40 words) - 16:09, 28 July 2008
- ...o mathematics for the intelligent general reader; chapter 8, "Rubber-Sheet Geometry," deals with topology.407 bytes (53 words) - 18:13, 13 March 2009
- ...heory relating [[Gravitation|gravity]] to non-Euclidean distortions in the geometry of space and time introduced by mass and energy, and reducing to the [[Spec296 bytes (41 words) - 12:45, 14 September 2011
- 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=251 KB (164 words) - 16:21, 27 October 2008
- ...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 de388 bytes (55 words) - 17:36, 7 February 2009
- {{r|Feature geometry}}355 bytes (41 words) - 07:01, 22 December 2008
- {{r|Algebraic geometry}} {{r|Geometry}}2 KB (247 words) - 06:00, 7 November 2010
- 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.5 KB (852 words) - 05:23, 17 April 2010
- * {{r|Sacred geometry}}503 bytes (58 words) - 08:35, 7 June 2008
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- {{r|Geometry}}184 bytes (24 words) - 19:07, 30 September 2009
- {{r|Geometry}}542 bytes (63 words) - 14:59, 1 November 2014
- ...e 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
- {{r|Diophantine geometry}}350 bytes (42 words) - 12:01, 12 June 2009
- == 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 diagonal4 KB (666 words) - 11:23, 3 October 2009
- {{r|Geometry}}471 bytes (59 words) - 05:36, 9 January 2024
- In [[triangle geometry]], the '''circumcentre''' of a [[triangle]] is a point which represents the431 bytes (65 words) - 22:44, 17 February 2009
- == Geometry of sun angle ==2 KB (404 words) - 10:27, 26 September 2007
- ...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 Fi4 KB (679 words) - 03:09, 8 March 2024
- In [[triangle geometry]], a '''median''' of a [[triangle]] is a line joining one [[vertex]] to the452 bytes (71 words) - 17:00, 24 November 2008
- Auto-populated based on [[Special:WhatLinksHere/Reflection (geometry)]]. Needs checking by a human.442 bytes (56 words) - 19:57, 11 January 2010
- {{r|Manifold (geometry)}}438 bytes (56 words) - 20:49, 11 January 2010
- In [[algebraic geometry]] an '''Abelian variety''' <math>A</math> over a [[field]] <math>K</math> i522 bytes (82 words) - 02:26, 16 December 2008
- * In [[Euclidean geometry]], the relation between figures that can be superposed by [[rigid motion]]s645 bytes (93 words) - 12:51, 31 May 2009
- {{r|Algebraic geometry}}466 bytes (59 words) - 11:38, 11 January 2010
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- {{r|Altitude (geometry)}}454 bytes (58 words) - 19:25, 11 January 2010
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- *''A syllabus of plane algebraical geometry'' (1860)574 bytes (65 words) - 21:20, 25 October 2009
- {{r|Prism (geometry)}}449 bytes (57 words) - 19:43, 11 January 2010
- {{r|Geometry}}448 bytes (57 words) - 16:50, 11 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
- {{r|Median (geometry)}}476 bytes (61 words) - 11:44, 11 January 2010
- {{r|Manifold (geometry)|Manifold}}572 bytes (72 words) - 02:47, 8 November 2008
- ...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 described3 KB (468 words) - 08:24, 24 March 2010
- {{r|Geometry}}489 bytes (62 words) - 20:37, 11 January 2010
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- Auto-populated based on [[Special:WhatLinksHere/Prism (geometry)]]. Needs checking by a human.475 bytes (60 words) - 19:43, 11 January 2010
- {{r|Algebraic geometry}}528 bytes (68 words) - 21:49, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Altitude (geometry)]]. Needs checking by a human.519 bytes (65 words) - 10:51, 11 January 2010
- {{r|Reflection (geometry)}}508 bytes (65 words) - 16:07, 11 January 2010
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- {{r|Prism (geometry)}}553 bytes (73 words) - 19:38, 11 January 2010
- {{r|Euclidean geometry}}484 bytes (62 words) - 15:48, 11 January 2010
- * Allman, George J. ''Greek Geometry from Thales to Euclid'' (1976)746 bytes (93 words) - 22:18, 14 September 2013
- {{r|Algebraic geometry}}462 bytes (59 words) - 17:55, 11 January 2010
- {{r|Geometry}}476 bytes (63 words) - 18:00, 11 January 2010
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- {{r|Euclidean geometry}}607 bytes (78 words) - 06:51, 22 January 2010
- ...st=Serge | last=Lang | authorlink=Serge Lang | title=Survey of Diophantine geometry | publisher=[[Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 | page=51609 bytes (75 words) - 16:20, 11 January 2013
- {{r|Algebraic geometry}}544 bytes (68 words) - 20:02, 11 January 2010
- ...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.638 bytes (88 words) - 02:54, 10 February 2010
- {{r|Euclidean geometry}}566 bytes (74 words) - 16:25, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Manifold (geometry)]]. Needs checking by a human.580 bytes (72 words) - 18:18, 11 January 2010
- {{r|Algebraic geometry}}565 bytes (72 words) - 19:39, 11 January 2010
- {{r|Algebraic geometry}}598 bytes (78 words) - 20:14, 11 January 2010
- {{r|Geometry}}682 bytes (88 words) - 10:48, 4 October 2013
- The geometry of the probe dictates the volume over which a constant magnitude [[RF field705 bytes (103 words) - 04:58, 17 October 2013
- In [[geometry]] and, more generally, in [[topology]], In elementary geometry, for figures in the plane (like polygons, convex sets, ...)2 KB (394 words) - 04:46, 5 October 2009
- {{r|Manifold (geometry)}}689 bytes (88 words) - 17:15, 11 January 2010
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- {{r|Solid (geometry)}}612 bytes (83 words) - 03:58, 24 September 2013
- {{r|Reflection (geometry)}}631 bytes (81 words) - 20:07, 11 January 2010
- ...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 cann4 KB (743 words) - 03:55, 14 February 2010
- {{r|Geometry}}648 bytes (83 words) - 10:12, 11 May 2009
- {{r|Manifold (geometry)}}601 bytes (77 words) - 20:38, 11 January 2010
- {{r|Vertex (geometry)}}797 bytes (101 words) - 16:58, 11 January 2010
- In [[algebraic geometry]], '''Kummer's quartic surface''' is an [[irreducible]] [[algebraic surface == Geometry of the Kummer surface ==7 KB (1,246 words) - 05:37, 18 October 2013
- 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=702 KB (316 words) - 04:24, 1 November 2013
- {{r|Manifold (geometry)}}798 bytes (103 words) - 16:04, 11 January 2010
- {{r|Algebraic geometry}}715 bytes (91 words) - 17:34, 10 December 2008
- ...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]]2 KB (339 words) - 22:18, 14 September 2013
- {{r|Algebraic geometry}}837 bytes (109 words) - 16:27, 11 January 2010
- ...damental to certain fields such as [[differential geometry]], [[Riemannian geometry]] and [[general relativity]]. * [[Differential geometry]]5 KB (805 words) - 17:01, 28 November 2008
- In [[plane geometry]], a '''cyclic polygon''' is a [[polygon]] whose vertices all lie on one [[755 bytes (114 words) - 20:27, 31 January 2009
- {{r|Reflection (geometry)}}965 bytes (124 words) - 17:23, 11 January 2010
- (from elementary geometry) to arbitrary dimensions ''n''. This generalization is obtained by extending the axioms of [[Euclidean geometry]]9 KB (1,403 words) - 02:22, 14 October 2013
- {{r|Reflection (geometry)}}949 bytes (118 words) - 16:12, 11 January 2010
- {{r|Algebraic geometry}}654 bytes (81 words) - 13:36, 29 November 2008
- Auto-populated based on [[Special:WhatLinksHere/Algebraic geometry]]. Needs checking by a human.898 bytes (114 words) - 10:49, 11 January 2010
- ...rtillery and mortar]] systems can use POO information to plan [[engagement geometry]] for interception of the projectile, and to predict the [[point of impact]747 bytes (111 words) - 19:26, 13 August 2010
- {{r|Geometry}}942 bytes (125 words) - 18:29, 11 January 2010
- |title = On Quaternions and Octonions: Their Geometry, Arithmetic and Symmetry899 bytes (119 words) - 17:42, 26 September 2007
- 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 146-2 KB (374 words) - 14:46, 12 April 2008
- * 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 0-7167-1186-92 KB (297 words) - 13:37, 21 February 2009
- 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 [[t4 KB (654 words) - 03:08, 20 November 2009
- * In [[algebraic geometry]], there exists the notion of a [[Gröbner basis]] of an [[ideal]].885 bytes (138 words) - 19:39, 31 January 2009
- ...fferential equation]]s theory, [[functional analysis]], and [[differential geometry]].975 bytes (135 words) - 02:13, 3 September 2010
- {{r|Triangle geometry}}851 bytes (136 words) - 17:40, 23 November 2008
- In [[geometry]] the '''law of cosines''' is a useful identity for determining an angle or926 bytes (162 words) - 03:58, 19 November 2007
- {{r|Euclidean geometry}}886 bytes (141 words) - 14:42, 28 November 2008
- {{r|Geometry}}890 bytes (141 words) - 14:14, 29 December 2008
- {{r|Algebraic geometry}}895 bytes (142 words) - 02:21, 16 December 2008
- {{r|Geometry}}894 bytes (142 words) - 05:56, 28 November 2008
- {{r|Euclidean geometry}}930 bytes (146 words) - 14:49, 28 November 2008
- ...e [[equator]], measured in [[degree (angle)|degrees]]. The [[small circle (geometry)]] formed by the collection of points with the same latitude is often calle1,016 bytes (156 words) - 19:59, 19 October 2009
- ...sh;that specify the position of a [[point (geometry)|point]] on a [[plane (geometry)|plane]].3 KB (451 words) - 23:53, 20 February 2010
- ...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 par4 KB (730 words) - 03:09, 8 March 2024
- In [[triangle geometry]], the '''incentre''' of a triangle is the centre of the '''incircle''', a1 KB (189 words) - 12:27, 11 June 2009
- *the area of a [[square (geometry)|square]] measuring 1 [[kilometre]] on each side1 KB (138 words) - 22:35, 31 July 2009
- ...al calculus]]. Combinatorics also studies [[code]]s, [[design]]s, [[finite geometry|finite geometries]] and [[Latin square]]s. Other branches are [[algebraic c1 KB (165 words) - 10:24, 18 June 2009
- ...s are kept constant. Partial derivatives are widely used in [[differential geometry]], [[vector calculus]], and [[physics]].1 KB (175 words) - 02:51, 10 July 2008
- ...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.16 KB (2,609 words) - 03:09, 8 March 2024
- In [[geometry]] a '''divisor''' on an [[algebraic variety]] is a formal sum (with integer818 bytes (138 words) - 10:54, 18 February 2009
- ..., 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
- In [[algebraic geometry]] the '''Riemann-Hurwitz formula''', named after [[Bernhard Riemann]] and [1 KB (166 words) - 10:43, 14 November 2007
- ...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.16 KB (2,638 words) - 03:10, 8 March 2024
- 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.7 KB (1,127 words) - 14:33, 16 March 2008
- ** [[Algebraic curve]] of [[genus (geometry)|genus]] one versus [[elliptic curve]].1 KB (168 words) - 12:06, 22 November 2008
- ...l mass'' of fissile material. Furthermore, the criticality depends on the geometry of the material. When a critical mass of fissile material is sufficiently1 KB (185 words) - 12:40, 26 November 2012
- 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.4 KB (637 words) - 16:32, 24 November 2008
- ...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 [[Eugenio5 KB (751 words) - 11:37, 25 March 2022
- In [[geometry]], '''barycentric coordinates''' form a homogeneous coordinate system based1 KB (187 words) - 03:54, 1 April 2010
- ...s. There is an English translation by D. E. Smith and M. L. Lantham (''The Geometry of René Descartes'', Dover, 1954).3 KB (468 words) - 06:32, 12 June 2009
- {{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 d4 KB (685 words) - 19:54, 1 November 2013
- {{r|Algebraic geometry}}2 KB (206 words) - 19:38, 11 January 2010
- ...including [[number theory]], [[statistics]], [[analysis]], [[differential geometry]], [[geodesy]], [[electromagnetism]], [[astronomy]], and [[optics]]. Gauss1 KB (153 words) - 19:06, 1 April 2009
- ...ld gradients are generated by passing current through coils of appropriate geometry.1 KB (187 words) - 16:18, 3 April 2024
- ...in contact, the [[normal force]] between the two surfaces, and the overall geometry of the bodies.1 KB (223 words) - 13:05, 28 January 2022
- ...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 fro3 KB (531 words) - 14:54, 21 May 2013
- '''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:8 KB (1,314 words) - 11:25, 13 January 2020
- Arbarello, E.; Cornalba, M.; Griffiths, P. A.; Harris, J. Geometry of algebraic curves. Vol. I. Grundlehren der Mathematischen Wissenschaften1 KB (175 words) - 08:08, 12 January 2010
- ...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 im5 KB (830 words) - 15:41, 8 April 2024
- ...the angle between the [[axis|axes]] which define a [[plane]] in [[analytic geometry]], units of area are called '''square ''unit''''', where ''unit'' is the un1 KB (243 words) - 16:35, 22 January 2010
- {{r|Differential geometry}}2 KB (254 words) - 10:43, 20 February 2024
- * Derrida, Jacques & Husserl, Edmund (1989). ''Edmund Husserl's Origin of Geometry: An Introduction''. University of Nebraska Press. ISBN2 KB (187 words) - 02:43, 17 April 2014
- ...> Radar targets associated with such threats are very different in speed, geometry, and distance than the aircraft and cruise missile targets for which AN/SPY1 KB (203 words) - 16:24, 30 March 2024
- ...type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]. Modular forms played a key rôle in [[Andrew Wiles1 KB (235 words) - 19:47, 15 December 2010
- ...ence]]s. In mathematics, he made significant contributions to [[projective geometry]], [[probabilities]], and [[combinatorial mathematics]]. In physics, he stu2 KB (236 words) - 13:55, 6 June 2008
- ...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 by2 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''<su4 KB (647 words) - 15:51, 7 February 2009
- {{r|Differential geometry}}2 KB (281 words) - 10:43, 20 February 2024
- ...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
- *Geometry2 KB (266 words) - 23:03, 19 February 2010
- In [[algebraic geometry]] an '''Abelian surface''' over a [[field]] <math>K</math> is a two dimensi2 KB (290 words) - 09:39, 13 January 2009
- 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—there is no origin. A '''r From elementary geometry we know that any two points in a plane (a collection of infinitely many p15 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 a6 KB (969 words) - 18:06, 31 October 2013
- * Geometry: Topics covered may include triangle geometry, transformation geometry, inversion,6 KB (1,015 words) - 16:13, 6 May 2008
- ...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 coefficient6 KB (982 words) - 03:09, 8 March 2024
- ...pace from classical to modern. For the classical approach, see [[Euclidean geometry]].</div> | [[geometry]] corresponds to an experimental reality28 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://bo2 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 definition5 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 characteristics2 KB (334 words) - 14:29, 26 July 2009
- In [[geometry]], the '''barycentre''' or '''centre of mass''' or '''centre of gravity'''<2 KB (375 words) - 22:54, 10 January 2009
- ...ation]] in [[potential theory ]], [[Poisson's brackets]] in [[differential geometry]], and [[Poisson's ratio]] in [[elasticity]] are indicative of the scope an2 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/mi5 KB (818 words) - 20:46, 20 February 2010
- == Molecular geometry == :''See main article [[molecular geometry]]''11 KB (1,558 words) - 21:27, 10 November 2020
- '''Étale morphism''' in [[algebraic geometry]], a field of mathematics, is an algebraic analogue of the notion of a loca2 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 geometrical3 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 th7 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 tetr3 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/b3 KB (418 words) - 04:17, 19 September 2013
- 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 an9 KB (1,494 words) - 05:47, 4 January 2010
- ...n and physicist [[Tullio Levi-Civita]]—occurs mainly in differential geometry and mathematical physics where it is used to define the components of the (3 KB (390 words) - 11:35, 12 March 2011
- ...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
- ...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
- ...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 pulse7 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 a3 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 a2 KB (396 words) - 09:00, 28 April 2024
- ...es on the circumference of the same circle. A well-known theorem of plane geometry states that in that case α = α' , so that it follows that the a3 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
- ...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 some6 KB (1,033 words) - 17:25, 6 February 2010
- ...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, and7 KB (1,004 words) - 16:21, 30 March 2024
- 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
- * it is called "space" but is far from geometry; ''Fact:'' it is called "space" but is far from geometry.18 KB (2,797 words) - 14:37, 30 January 2011
- [[Image:MASINT-Sensor-geometry.png|thumb|Remote Sensing Geometry-- relationships between scanning sensor and target]]7 KB (1,038 words) - 09:50, 20 March 2024
- ...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 reason7 KB (1,121 words) - 07:27, 10 July 2008
- ...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]] shape14 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 multipli18 KB (3,028 words) - 17:12, 25 August 2013
- ...e studied and used to solve quantitative problems in finance, engineering, geometry (mensuration), and such fields. The basic arithmetic operations are additio4 KB (562 words) - 18:28, 5 January 2010
- A [[circle (geometry)|circle]] (in the plane) — more precisely: an arc of a circle —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, sub4 KB (631 words) - 03:57, 7 October 2013
- ...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 geometry14 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 038790999 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 c8 KB (1,117 words) - 08:22, 5 December 2011
- ...provided with an origin. The Euclidean plane, well-known from high-school geometry, is a collection of points (a 2-dimensional [[affine space]]) between which4 KB (632 words) - 10:13, 6 January 2010
- 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 appear18 KB (2,817 words) - 20:15, 27 October 2020
- ([[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 struc4 KB (510 words) - 06:55, 11 May 2009
- The '''tangent space''' of a [[manifold_(geometry)|differentiable manifold]] M is a [[vector space]] at a point p on the mani4 KB (676 words) - 00:52, 15 November 2007
- ...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]].4 KB (647 words) - 16:35, 22 December 2008
- {{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. 80</r15 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 form4 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 jurisprudenc4 KB (555 words) - 02:01, 6 February 2010
- ...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 Br4 KB (546 words) - 13:58, 1 May 2010
- If one considers the geometry between the radar and the SART, the aircraft has a much better angle to sep4 KB (635 words) - 10:05, 24 August 2010
- 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 algebra18 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 many15 KB (2,549 words) - 09:18, 17 February 2012
- ...[mathematics]] concerned with analysis of random phenomena. Like algebra, geometry and other parts of mathematics, probability theory has its origins in the4 KB (672 words) - 14:38, 30 January 2011
- This geometry lets it detect targets below the coverage of air control traffic radar.<ref4 KB (554 words) - 16:22, 30 March 2024
- He also wrote elementary texts such as ''[[Trigonometry]]'' and ''[[Analytic Geometry]]''. His final book was ''Leçons sur les méthodes de Sturm dans la théor4 KB (565 words) - 11:48, 2 February 2023
- ...). 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 use11 KB (1,760 words) - 09:20, 15 June 2012
- ...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 multip20 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 length11 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://29 KB (4,366 words) - 09:10, 26 March 2011
- ...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 differe4 KB (752 words) - 21:20, 16 February 2010
- ...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 stat20 KB (3,194 words) - 03:34, 8 November 2013
- ...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 t22 KB (3,572 words) - 03:09, 8 March 2024
- | title = The geometry of musical structure: a brief introduction and history6 KB (674 words) - 18:05, 25 December 2008
- 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
- ...pt platforms (e.g., aircraft, satellites, etc.) that have better intercept geometry, or perhaps use other methods of recognizing the existence of a signal, suc5 KB (691 words) - 16:24, 30 March 2024
- 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 target11 KB (1,709 words) - 12:25, 22 March 2024
- ...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 of6 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 have14 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 same6 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 same6 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 analytic15 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]] o5 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 mos8 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 e7 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 up23 KB (3,644 words) - 17:50, 3 November 2013
- ...tish Highlands]] of the 17th and 18th centuries<ref>There is a branch of [[geometry]] called ''[[topology]]'' which considers the basic forms of objects, reduc6 KB (1,050 words) - 05:05, 8 June 2009
- In [[Euclidean geometry]], a '''reflection''' is a linear operation σ on <font style="vertica8 KB (1,366 words) - 09:12, 10 August 2009
- ...infrastructure behind various specialized mathematical theories (algebra, geometry, analysis etc.) Each specialized mathematical theory deals with relevant o ...ological spaces; linear algebra is a theory of linear spaces. Differential geometry investigates smooth manifolds. Algebra investigates groups, rings, fields e34 KB (5,174 words) - 21:32, 25 October 2013
- [[Proportion]] and [[geometry]] have been understood as sources of beauty in many different cases. ====Proportion and geometry====35 KB (5,491 words) - 09:41, 21 January 2018
- ...by an expert. Once the fractured bone has healed, the nose will assume the geometry of this underlying skeleton.6 KB (1,047 words) - 04:51, 8 June 2009
- ...ded for the study of motion ([[Johannes Kepler]], [[Galileo Galilei]]) and geometry ([[Pierre de Fermat|Pierre Fermat]], [[René Descartes]]), became tractable ...r = The method of fluxions and infinite series with its application to the geometry of curve-lines15 KB (2,342 words) - 06:26, 30 November 2011
- ...lizations]] have important applications to [[number theory]], [[arithmetic geometry]], [[graph theory]], and [[dynamical systems]], to name a few examples. Th7 KB (1,113 words) - 10:50, 4 October 2013
- ...mproved missile version, or there was some other peculiarity of engagement geometry that let the SAM reach the U-2. Against aircraft flying at lower altitudes, ...hreat; an aircraft evading a more modern SAM might fly into the engagement geometry of a SA-2.<ref name=AstronautixDvina />12 KB (1,953 words) - 06:56, 4 April 2024
- ...ld War, when the main Soviet threat would be coming across the Arctic; the geometry meant that the forward early warning systems needed primarily to be in Cana6 KB (878 words) - 02:18, 7 April 2024
- ..., Descartes founded [[analytic geometry]], that bridge between algebra and geometry crucial to the invention of the [[calculus]] and [[Mathematical analysis|an ...n young Descartes' life and the foundation on which he develops analytical geometry. He dedicated the rest of his life to researching this connection between17 KB (2,634 words) - 18:36, 19 March 2010
- ...efense of a target in Europe, except possibly in a very limited engagement geometry This proposal also assumed ten interceptor missiles, with two fired at each6 KB (776 words) - 11:52, 19 March 2024
- * The set of diagonals in a regular [[pentagon (geometry)|pentagon]] ABCDE: {AC,AD,BD,BE,CE}. (A,B,C,D,E denote the vertices of the10 KB (1,462 words) - 17:24, 25 August 2013
- * The set of diagonals in a regular [[pentagon (geometry)|pentagon]] ABCDE: {AC,AD,BD,BE,CE}. (A,B,C,D,E denote the vertices of the10 KB (1,462 words) - 17:25, 25 August 2013
- ...Schaffer/> As an example, the choice between planar geometry and spherical geometry is not just a question of a more or less inclusive vocabulary.19 KB (2,784 words) - 10:50, 30 July 2013
- ...tions a different geometry is used, notably asymmetric in drain and source geometry. Special attention is given to the drain, which is adapted to large drain v ...n greater in today's technology where ''λ'' is a function of device geometry in three dimensions (not just channel length, although this is important) a25 KB (4,018 words) - 04:18, 1 November 2013
- ...r skin, and apparent [[non-Euclidean geometry]],<ref>Husserl, ''Origins of Geometry'', Introduction by Jacques Derrida</ref> (i.e., non-[[rectilinear]] shapes) ...s to postmodernists, the subject of complication, and this complication of geometry was in turn, applied to the functional, structural, and spacial aspects of24 KB (3,347 words) - 02:42, 17 April 2014
- ...hether 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
- ...number]]. Beyond about 5 stages or a 4:1 design pressure ratio, [[variable geometry]] is normally used to improve operation. ...'') uses two interleaved spiral-like vanes to compress [[gas]]es. The vane geometry may be [[involute]], [[archimedean spiral]], or hybrid curves.<ref>J. Tisch17 KB (2,493 words) - 19:22, 17 February 2010
- The first heat-seeking air-to-air missiles had restricted "engagement geometry" -- the relative angles between the firing aircraft and the target. While m8 KB (1,281 words) - 07:02, 4 April 2024
- ...ical scales, the distribution of mass and energy itself ''determines'' the geometry of space-time, and any distinction between accelerating and inertial frames9 KB (1,374 words) - 13:22, 29 September 2011
- ...sophical mathematicians who had an influence on the beginning of axiomatic geometry, which after two hundred years of development was written down by [[Euclid] ...e Pythagorean of the third generation, who made important contributions to geometry, reflected in Book VIII of Euclid's Elements.17 KB (2,671 words) - 23:35, 25 October 2013
- ...r, the [[mechanical advantage]], that can be calculated from the machine's geometry. For example, the mechanical advantage of a [[lever]] is equal to the rati10 KB (1,497 words) - 20:04, 16 June 2009
- *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
- ...ote a series of elementary textbooks in the fields of trigonometry, sound, geometry, algebra, and mechanics. All these texts were used in his own courses at [8 KB (1,209 words) - 08:09, 28 September 2013
- ...stions surrounding the observed expansion of the universe and indicate its geometry.10 KB (1,526 words) - 19:36, 18 August 2020
- Given that topological spaces capture notions of geometry, a good notion of isomorphism in the [[category]] of topological spaces sho15 KB (2,586 words) - 16:07, 4 January 2013
- Using the high school geometry rule: the area ''S'' of a triangle is its base ''a'' times its half-height12 KB (1,961 words) - 13:04, 11 June 2009
- ...the computation.<ref>This name is somewhat pretentious, since the nuclear geometry, (that is, the positions of the nuclei constituting the molecule in space), ...e electrons. The nuclear Coulomb repulsion is constant because the nuclear geometry is fixed. This also means that the kinetic energy of the nuclei is absent,20 KB (3,082 words) - 17:39, 9 December 2008
- ...1664, as Newton's notebooks indicate, he began an intensive self-study of geometry, Copernican astronomy and optics. On his own he read Descartes, Pierre Gass ...r = The method of fluxions and infinite series with its application to the geometry of curve-lines17 KB (2,625 words) - 19:47, 19 March 2023
- ...urve is isomorphic to a quotient of the complex numbers by some [[lattice (geometry)|lattice]]; moreover two elliptic curves are isomorphic if and only the two10 KB (1,637 words) - 16:03, 17 December 2008
- ...s of the [[Cartesian coordinate system]], the [[Histogram]] and [[Analytic geometry]]. These ideas influenced [[Isaac Newton]] and [[Gottfried Leibniz]] in the10 KB (1,742 words) - 09:15, 26 September 2007
- ::*Analysis of novel geometry-independent method for dialysis access pressure-flow monitoring (555 times)10 KB (1,412 words) - 17:20, 20 October 2016
- ...t of initial warming. "It is concluded that changes in the earth's orbital geometry is the fundamental cause of the succession of [[quaternary]] ice ages." <re10 KB (1,472 words) - 08:34, 8 June 2009
- ...of organosilicon compounds are [[tetravalent]] and [[tetrahedral molecular geometry|tetrahedral]]. Hypervalent silicon is rare, and occurs mainly in organosili9 KB (1,169 words) - 02:10, 27 October 2013
- {{rpr|Plane (geometry)}}11 KB (1,622 words) - 08:06, 25 February 2012
- ...lato]] (c. 427–347 BCE) mentions the teaching of arithmetic, astronomy and geometry in schools.<ref>''Protagoras'' (318d-f)</ref> The philosophers of Ancient G ...we find Descartes primary contribution to science. His work in [[analytic geometry]] however, was a necessary precedent to [[differential calculus]] and instr22 KB (3,288 words) - 18:53, 9 July 2010
- ==Geometry== ...ickness of the material, many pieces can be welded together in a lap joint geometry.<ref>{{cite book|author=John Hicks|title=Welded Joint Design|publisher=Indu41 KB (6,367 words) - 05:51, 12 September 2013
- ...E/> provides these discharge coefficients for their specified venturi tube geometry (per the diagram at the top of this article) and for three types of fabrica12 KB (1,976 words) - 16:12, 10 February 2024
- ...seems that the articles are misguided and that [[straight line (Euclidean geometry)]] needs to be deleted. Unfortunately, I've no idea who to do this. Any ass I am thinking of adding a few simple diagrams, such as triangle geometry and Venn diagrams. Can anyone suggest a suitable picture editor that produ44 KB (7,312 words) - 03:09, 8 March 2024
- The remarkable result in [[integral geometry]] known as [[Hadwiger's theorem]] states that the space of translation-inva14 KB (2,350 words) - 17:37, 10 November 2007
- ...rogen interaction. [[Neutron diffraction]] has shown that the [[molecular geometry]] of these complexes are similar to hydrogen bonds, in that the bond length12 KB (1,827 words) - 17:00, 7 March 2024
- ...2^n + 1</math> (called 'Fermat primes'). Fermat primes arise in elementary geometry because if <math>p</math> is a Fermat prime, it is possible to construct a14 KB (2,281 words) - 12:20, 13 September 2013
- ...|function]]s of an [[angle]]; they are important when studying [[triangle (geometry)|triangle]]s and modeling periodic phenomena, among many other applications Using only geometry and properties of [[limit of a function|limits]], it can be shown that the33 KB (5,179 words) - 08:26, 4 June 2010
- ...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 ...e=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
- ...a molecule (as a stable system of electrons and nuclei with a well-defined geometry) from the properties of the Coulomb Hamiltonian alone. If we make a Taylor expansion of ''V'' around the equilibrium geometry,31 KB (4,757 words) - 02:20, 27 October 2013
- It must be pointed out that the Shichman-Hodges model for voltage and geometry dependence of the device parameters such as ''g<sub>m</sub>'', ''r<sub>O</s13 KB (2,071 words) - 10:15, 1 July 2011
- ...eometry) its origin in the needs to survey the lands and waters of Earth. Geometry was used to lay out fields in [[Egypt]] after the [[Nile flooding|flooding ===The enrichment of biology by mathematical progress in geometry, topology, algebra, and analysis===46 KB (6,635 words) - 13:25, 14 April 2021
- .... These nozzles also acted as the control [[thruster]]s for [[translation (geometry)|translation]] and [[rotation]] of the lander. Terminal [[descent (aircraft11 KB (1,602 words) - 01:59, 11 September 2013
- ...addle shaped curvature), the flat (or Euclidean) geometry, and a spherical geometry. In each case there is a corresponding mass measured by the ratio denoted � *If Ω<sub>tot</sub> < 1 then the geometry is open or saddle shaped, it will expand forever;46 KB (7,449 words) - 19:49, 26 October 2020
- # A geometry of the molecule is chosen (in accordance with the [[Born-Oppenheimer approx14 KB (2,265 words) - 05:37, 6 March 2024
- # K.C.H. Mackenzie: ''Lie Groupoids and Lie Algebroids in Differential Geometry'', Cambridge U. Press, '''1987'''.16 KB (2,719 words) - 04:11, 7 October 2013
- Conceptual classification include [[point (geometry)|point]], [[line (mathematics)|line]], [[plane (mathematics)|plane]] and [[12 KB (1,851 words) - 06:33, 9 June 2009
- Aside from his musical interests, Ligeti expressed fondness for the [[fractal geometry]] of [[Benoît Mandelbrot]], and the writings of [[Lewis Carroll]] and [[Do12 KB (1,735 words) - 20:15, 12 September 2013
- *[[Rectilinear angle (geometry)/Definition]]15 KB (1,521 words) - 09:02, 2 March 2024
- ...hrough soils are a function of the hydraulic conductivity of the soil, the geometry of the soil conditions, and the [[hydraulic head]] across the soil region.15 KB (2,155 words) - 16:26, 3 April 2010
- ...n geometrical terms, Diophantus did what we would now call basic algebraic geometry in purely algebraic terms. In modern language, what Diophantus does is to f ...eans of what amounts to a tangent construction: translated into coordinate geometry35 KB (5,526 words) - 11:29, 4 October 2013
- ...tuff of legend. Among the lasting achievements of the Library are Euclid's geometry, along with Greek translation of the Old Testament (although it is unclear13 KB (2,038 words) - 15:24, 10 January 2021
- ...ematical 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
- ...a wealthy architect who valued education, educated his son in mathematics, geometry and philosophy, an unusual course compared to the emphasis of Roman schools14 KB (2,210 words) - 15:14, 28 August 2011
- ...hers 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
- ...for the energy required to break molecules of hydrogen into atoms; for the geometry and energy content of CH<sub>2</sub> (the unstable "molecule" in which two14 KB (2,214 words) - 16:43, 14 July 2009
- ...on the number of bonds separating the interacting nuclei as well as on the geometry. For <sup>3</sup>J coupling, i.e., coupling between nuclei separated by th ...and duration are generated by passing current through coils of appropriate geometry. Magnetic field gradients are controlled by an independent subsystem.41 KB (6,350 words) - 04:54, 21 March 2024
- ...ghing scale or balance]] and the volume may be measured directly (from the geometry of the object) or by the displacement of a liquid.14 KB (2,241 words) - 12:26, 26 October 2021
- ...1.63 Hz) to the next higher ''C'' is octave number 4. {{cite book |title=A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice |author= {{cite book |title=A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice |author=32 KB (5,025 words) - 10:07, 28 February 2024
- ...lates in space, (s)he would constantly see the molecule in its equilibrium geometry, provided the nuclei are at the points,20 KB (3,213 words) - 02:14, 23 February 2010
- ...ge. Yet it should not be concluded that Plato rejects ''doxa''. Including "geometry and the kindred arts," Plato asserts that, through the power of dialectic (17 KB (2,685 words) - 18:54, 24 December 2011
- ...ses were already known and were being predicted. Thales reportedly brought geometry to Greece from Egypt and contributed to the field as well. <ref>[http://www ...in Miletus, both influencing him, particularly Anaximander who tutored on geometry and cosmology. Upon Thales advice, Pythagoras travelled to Egypt in about 551 KB (8,075 words) - 05:28, 17 October 2013
- ...te methods are required because the image depends on the three-dimensional geometry of the measured feature, for example, the contour of an edge, and not just ...asurements is tricky, as results depend upon the material measured and its geometry. A typical wavelength is 0.5 Å, and a typical resolution is about 4 nm.34 KB (5,178 words) - 10:12, 28 February 2024
- ...describing the same state of the molecule. The distortion of the molecular geometry causes the degeneracy to be lifted.28 KB (4,424 words) - 07:32, 20 April 2024
- The Go cross-section points can be represented, as in [[analytic geometry]], by ordered pairs of integers, <math>\ (x,y)</math>, where the two22 KB (3,851 words) - 00:06, 8 March 2024
- ...een that rapidly changing tactical situations, including sudden changes in geometry between friendly forces and the target, GOT was assumed. If the attack was16 KB (2,372 words) - 10:20, 8 April 2024
- ...bscurities and has a forbidding mathematical structure modeled on Euclid's geometry.<ref name=tws908/> But his philosophy attracted believers such as [[Albert }}</ref> or [[Euclid]] who built geometry from basic theorems, and using the basic theorems to deduce more complex th63 KB (10,232 words) - 16:14, 25 March 2010
- ...rized as being either elevated or at ground-level. A point source has no [[Geometry|geometric]] dimensions.19 KB (2,906 words) - 10:19, 30 July 2023
- ...rized as being either elevated or at ground-level. A point source has no [[Geometry|geometric]] dimensions.19 KB (2,906 words) - 10:19, 30 July 2023
- ...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
- | title = On the evolution and geometry of the brain in mammals. ...entations aside, the cortical surface mesh, like any mesh of a [[manifold (geometry)|closed three-dimensional manifold]], can then be analyzed in terms of loca40 KB (4,911 words) - 10:27, 1 April 2024
- ...cell can be obtained from the lattice spacing of the crystal, provided the geometry of the unit cell is known. The silicon crystal is cubic and has ''n'' = 8 a19 KB (2,947 words) - 20:20, 27 December 2020
- The geometry of the bomb is critical. Its case, or at least the inner surface of it, is20 KB (3,072 words) - 10:33, 18 March 2024
- Subsequently, when the geometry between the rocket exhaust and the sensor permits a clear view of the exhau20 KB (2,899 words) - 07:03, 4 April 2024
- ...tallography]]: This is the most precise method for determining [[molecular geometry]]; however, it is very difficult to grow crystals of sufficient size and hi21 KB (3,106 words) - 09:10, 5 May 2024
- Figure "Remote Sensing Geometry" illustrates several key aspects of a scanning sensor. Image:MASINT-Sensor-geometry.png|thumb|400px|Remote Sensing Geometry-- relationships between scanning sensor and target40 KB (5,946 words) - 12:21, 22 March 2024
- ...as experimental in a sense, but the heavens were considered to exhibit the geometry of the Gods, which was why it was necessary to insist on the stars and plan21 KB (3,286 words) - 15:50, 24 July 2015
- ...mperatures or pressures. Vessels in chemical plants are often [[Cylinder (geometry)|cylindrical]] with rounded ends, a shape which can be suited to hold eithe23 KB (3,456 words) - 11:44, 2 February 2023
- Somebody found a strange property relating geometry to the numbers within the Pascal's triangle.32 KB (4,192 words) - 18:42, 3 March 2024
- ...ical scales, the distribution of mass and energy itself ''determines'' the geometry of space-time, and any distinction between accelerating and inertial frames37 KB (6,109 words) - 17:53, 8 October 2021
- ...] took up level design. He explored "large spaces with more complex sector geometry", used altitude changes abundantly, and made his levels "flow so the player22 KB (3,391 words) - 07:04, 27 August 2013
- ...] took up level design. He explored "large spaces with more complex sector geometry", used altitude changes abundantly, and made his levels "flow so the player22 KB (3,391 words) - 06:59, 27 August 2013
- ...d]]'s ''[[Euclid's Elements|Elements]]'', which he called the "holy little geometry book" <ref name=HarvChemAE/> (given by Talmey [Talmud]). While at the Gymna ...h the mathematician [[Marcel Grossmann]], who introduced him to Riemannian geometry. In 1912, Einstein started to refer to [[time]] as the [[fourth dimension]]69 KB (10,580 words) - 15:14, 4 April 2024
- Kant used mathematics as the paradigm of synthetic [[a priori knowledge]]. In geometry, the drawing of a triangle in the mind's eye generates what Kant calls an i25 KB (4,036 words) - 16:09, 26 November 2008
- ...asurements. As an astronomer, Tycho worked to combine what he saw as the [[geometry|geometrical]] benefits of the [[Copernican system]] with the philosophical23 KB (3,568 words) - 10:30, 2 April 2024
- The earliest use of math and [[geometry]] in relation to logic and philosophy goes back to the ancient Greeks such32 KB (4,979 words) - 21:47, 12 November 2011
- 118. Mandelbrot, B.B. 1982. The Fractal Nature of Geometry. W.H. Freedman and Company.23 KB (3,026 words) - 11:38, 13 June 2010
- ...on the number of bonds separating the interacting nuclei as well as on the geometry. For <sup>3</sup>J coupling, i.e., coupling between nuclei separated by th39 KB (6,024 words) - 04:54, 21 March 2024
- ...t a perfect or high score on the test, whereas a student who has never had geometry lessons would likely get every question wrong, possibly with a few right du46 KB (6,956 words) - 07:01, 9 June 2009
- ..., A., Llinás, R. | year =1980 | month = | title =Tensorial Approach To The Geometry Of Brain Function: Cerebellar Coordination Via A Metric Tensor | journal =42 KB (5,883 words) - 10:27, 1 April 2024
- ...stored besides the spatial data represented by the coordinates of a vector geometry or the position of a raster cell. In vector data, the additional data are a41 KB (6,343 words) - 17:02, 22 March 2024
- The effects of curing are primarily a function of geometry (the relation between exposed surface area and volume), the [[Permeability44 KB (6,586 words) - 07:31, 20 April 2024
- ...endence of the [[Vibrational spectrum|modes of a vibrating drum]] upon its geometry, both due to the effects of ''boundary layers'': regions of rapid variation47 KB (6,881 words) - 10:00, 14 July 2015
- ...journal |author=Salanti G, Kavvoura FK, Ioannidis JP |title=Exploring the geometry of treatment networks |journal=Ann. Intern. Med. |volume=148 |issue=7 |page73 KB (9,970 words) - 13:21, 2 February 2023
- ...assisted ramjet. At high speeds (above Mach 2.4), the engine used variable geometry vanes to direct excess air through 6 bypass pipes from downstream of the fo63 KB (9,748 words) - 13:17, 2 February 2023
- ...ere are not even active editors in half the existing WGs, and the varibale geometry that could be created in the future might well be a nightmare -- discouragi216 KB (35,266 words) - 10:45, 7 March 2024