Geometry
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Geometry is the branch of mathematics that deals with properties of shapes. Primarily, the subject may be divided into three branches:
Differential Geometry studies properties of smooth shapes called "differentiable manifolds" by analyzing their curvature properties.
Algebraic Geometry studies properties of shapes defined by algebraic equations, by making use of the additional structures these objects inherit from their algebraic nature.
Topology, broadly speaking, studies properties of shapes invariant under continuous deformations.
