Algebraic geometry and analytic geometry (3533 bytes)
1: ...lso in a sense included in the scope of algebraic geometry, that is not the topic being discussed in this ar...
3: ...hisms, and a well-defined subcategory of analytic geometry objects and holomorphic mappings. Since it is usu...
9: ...y the use of topological techniques for algebraic geometry over any [[algebraically closed field]] ''K'' of ...
11: ...c methods within the classical parts of algebraic geometry.
17: [[Category:Algebraic geometry]]

Geometry (3543 bytes)
1: ...ht lines]], [[curve]]s, [[surface]]s, and [[solid geometry|solids]] to draw logical conclusions.
3: ...until a millennium later, and that was [[analytic geometry]], in which [[coordinate system]]s are introduced...
5: ...[reflection]]s, [[rotation]]s, and [[translation (geometry)|translation]]s.
7: ...invariants there are. As an example, in [[affine geometry]] any linear transformation is allowed, and so th...
9: A [[discrete]] form of geometry is treated under [[Pick's theorem]].

Triangle (16095 bytes)
1: ...ngle (instrument)|the musical instrument]], see [[triangle (disambiguation)]].''
3: ...x|vertices]] and three sides which are [[Distance geometry#straight|straight]] [[line segment]]s.
5: == Types of triangles ==
6: Triangles can be classified according to the lengths of th...
7: ...gle''' all sides are equally long. An equilateral triangle is also '''equiangular''', i.e. all its internal ...

Tropical geometry (957 bytes)
1: [[Category:Geometry]]
2: '''Tropical geometry''' is the study of geometry within a ''tropical semiring'' (also known as the...
6: ...s of geometric ideas in more traditional ideas of geometry.
11: ...r/Papers/PDF/tropical.pdf First Steps in Tropical Geometry (pdf)]
12: ...rchive.org/movies/details-db.php?id=4603 Tropical Geometry, I]

Integral geometry (2230 bytes)
2: In [[mathematics]], the term '''''integral geometry''''' in is used in two ways, which, although rela...
6: We can therefore say that '''integral geometry in the sense of Santalo''', is the application of...
10: ...ost interesting theorems in this form of integral geometry is [[Hadwiger's theorem]].
12: The more recent meaning of '''integral geometry''' is that of [[Gel'fand]]. It deals more specifi...
14: [[Category:Geometry]]

Cylinder (geometry) (1597 bytes)
29: [[Category:Geometry]]

Birational geometry (2522 bytes)
1: [[Category:Geometry]]
2: ...er dimensions, giving a good theory of birational geometry for dimension 3.
4: Birational geometry is largely a geometry of transformations; but it doesn't fit exactly wi...

Pixel geometry (1394 bytes)
4: ...rdered in different [[pattern]]s, called '''pixel geometry'''.
10: <td> [[Image:lcd_rgb_geometry_triangular.png|150px|]]</td>
11: <td> [[Image:lcd_rgb_geometry_stripes.png|150px|]]</td>
12: <td> [[Image:lcd_rgb_geometry_diagonal.png|150px|]]</td>
22: Knowledge of the pixel geometry used by a display may be used to create [[raster]...

Turn (geometry) (310 bytes)
1: '''Turn (geometry)''' The British Astronomer and Science writer [[S...

Geometry of numbers (1711 bytes)
1: [[Category:Geometry of numbers]]
2: In [[number theory]], the '''geometry of numbers''' is a topic and method arising from ...
4: ... therefore belongs properly to a sort of [[affine geometry]] simplification of the theory of [[quadratic for...
8: One can say that the geometry of numbers takes on some of the work that [[conti...

Affine geometry (5302 bytes)
1: ...geometry]] and [[projective geometry]]. It is the geometry of '''affine space''', of a given dimension ''n''...
5: ...his page, completing a formal reduction of affine geometry to [[linear algebra]].
9: ... have applications, for example in [[differential geometry]]. Because of the close relation with [[linear a...
14: ...Erlangen programme]], we can say best what affine geometry is by looking at the underlying [[group (mathemat...
16: ...affine group'': we must allow also [[translation (geometry)|translations]] by vectors <i>v</i> in <i>V</i>. ...

Projective geometry (4552 bytes)
1: ...g stone from [[analytic geometry]] to [[algebraic geometry]].
2: ...he detailed study of [[quadric]]s and the '[[line geometry]]' of [[Julius Plucker]] still forms a rich set o...
3: ... of the century the [[Italian school of algebraic geometry|Italian school]] ([[Federigo Enriques|Enriques]],...
5: ...y]]. Techniques were supposed to be ''[[synthetic geometry|synthetic]]'': in effect [[projective space]] as ...
8: ...tever the precise foundational status, projective geometry did include basic [[incidence (mathematics)|incid...

Hyperbolic geometry (3790 bytes)
1: [[Image:Hyperbolic triangle.png|frame|right|A triangle immersed in a saddle-shape plane, as well as two ...
3: ...Lobachevskian geometry''', is the [[non-Euclidean geometry]] obtained by replacing the [[parallel postulate]...
6: In hyperbolic geometry, the term '''parallel''' only applies to lines th...
8: Hyperbolic geometry was initially explored by [[Giovanni Gerolamo Sac...
9: (See article on [[non-Euclidean geometry]] for more history.)

Elliptic geometry (1570 bytes)
1: ...s '''Riemannian geometry''') is a [[non-Euclidean geometry]], in which, given a [[line]] '''L''' and a [[poi...
3: ... For example, the sum of the [[angle]]s of any [[triangle]] is always greater than 180&deg;.
5: ...70&deg;, which would be impossible in [[Euclidean geometry]].
7: ...alization of elliptic geometry. See [[Riemannian geometry]].
9: [[Category:Geometry]]

Turtle geometry (129 bytes)
1: '''''Turtle Geometry''''' is a book written by [[Hal Abelson]] [[Andre...

Molecular geometry (4891 bytes)
1: [[image:Water_molecule_dimensions.png|thumb|Geometry of the [[water]] molecule]]
3: [[Molecule]]s have fixed equilibrium [[geometry|geometries]]--bond lengths and angles--that are d...

Finite geometry (4264 bytes)
1: [[Category:Geometry]][[Category:Applied mathematics]][[Category:Discr...
2: A '''finite geometry''' is any [[geometry|geometric]] system that has only a [[finite]] num...
3: [[Euclidean geometry]], for example, is not finite, because a Euclidea...
4: ...etry: [[affine geometry|affine]] and [[projective geometry|projective]].
5: In an [[affine geometry]], the [[parallel postulate]] holds, meaning that...

Synthetic geometry (1800 bytes)
1: [[Category:Geometry]]
2: ...orems or solve problems, as opposed to [[analytic geometry]] which uses [[algebra]], [[number]]s, [[computat...
4: ...favour of a synthetic development of [[projective geometry]].
6: ...eometry]] led to the discovery of [[non-Euclidean geometry]]. The question is whether this is success or fai...
8: ...gramme]] of Klein the geometrical nature of ''a'' geometry has been seen as the connection of [[symmetry]] a...

Cone (geometry) (1844 bytes)
2: ... is a solid object obtained by rotating a [[right triangle]] around one of its two short sides, the cone's '...
22: [[category:geometry]]

Chord (geometry) (602 bytes)
1: A '''chord''' of a [[curve]] is a [[geometry|geometric]] [[line segment]] whose endpoints both...

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