### Geometry

**Geometry**(from Ancient Greek:

*geo*, "earth", and

*metria*, "measure") is a branch of Mathematics dealing with issues related to shape, relative position and properties of figures in a given space. Geometry arose naturally and independently in several ancient cultures. During a long period of human history, Geometry was restricted to a single type —

*Euclidean Geometry*—, presented in an axiomatized form in

*Euclid's Elements*(\(\Sigma\tau o\iota\chi\varepsilon\tilde{\iota}\alpha\)), (about 3rd century B.C.), and its study was later extended (in the 19th century) with the introduction of alternative geometries, such as

*Hyperbolic Geometry*and, more generally,

*Riemannian Geometry*.

*Differential Geometry*is an important branch of Mathematics where Analysis techniques are used in the study of the geometry of curves and surfaces.

Sub-categories

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