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'''Geometry''' is the branch of mathematics that deals with properties of [[shape]]s and spatial relationships. In its modern form, it is the pure mathematics of [[point]]s and [[line]]s and [[curve]]s and [[surface]]s. It is one of the two most basic branches of [[mathematics]], the other being [[algebra]], the study of relationships between [[number]]s. Primarily, the subject may be divided into six branches:

'''Geometry''' is the branch of mathematics that deals with properties of [[shape]]s and spatial relationships. It is one of the five most basic branches of [[pure mathematics]], the others being [[algebra]], [[number theory]], [[analysis]], and [[logic]]. Primarily, the subject may be divided into six branches:

* [[Euclidean geometry]] studies geometry where the [[parallel postulate]] is valid.

* [[Euclidean geometry]] studies geometry where the [[parallel postulate]] is valid.

* [[Topology]], broadly speaking, studies properties of shapes invariant under [[continuous function]]s.  

* [[Topology]], broadly speaking, studies properties of shapes invariant under [[continuous function]]s.  

* [[Riemannian geometry]], a geometry developed by [[Riemann]].

* [[Geometric measure theory]] studies objects that possess a notion of fractional dimension, such as fractals.

 

There are a few main types of spatial forms:

 

* [[Line]]s, an infinitely long set of points expanding in two opposite directions.

* [[Space]], all of the 3-dimensional space that points, lines, and planes exist ons.

[[category:geometry]]

[[category:geometry]]