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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:
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'''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.
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* [[Topology]], broadly speaking, studies properties of shapes invariant under [[continuous function]]s.  
 
* [[Topology]], broadly speaking, studies properties of shapes invariant under [[continuous function]]s.  
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* [[Geometric measure theory]] studies objects that possess a notion of fractional dimension, such as fractals.
    
[[category:geometry]]
 
[[category:geometry]]
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