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| − | '''Geometry''' is the branch of mathematics dealing with [[shape]]s and spatial relationships. It is one of the two most basic branches of [[mathematics]], the other being [[algebra]], the study of relationships between [[number]]s.
| + | Geometry is the branch of mathematics that deals with properties of shapes. Primarily, the subject may be divided into three branches: |
| − | | + | <br /><br /> |
| − | There are a few main types of spatial forms:
| + | '''Differential Geometry''' studies properties of smooth shapes called "differentiable manifolds" by analyzing their curvature properties. |
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| − | Points, an infinitely small dot.
| + | '''Algebraic Geometry''' studies properties of shapes defined by algebraic equations, by making use of the additional structures these objects inherit from their algebraic nature. |
| − | Lines, an infinitely long set of points expanding in two opposite directions.
| + | <br /><br /> |
| − | Planes, an infinitely wide set of lines, stretching out in four directions.
| + | '''Topology''', broadly speaking, studies properties of shapes invariant under continuous deformations. |
| − | Space, all of the 3-dimensional space that points, lines, and planes exist ons.
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| | [[category:geometry]] | | [[category:geometry]] |