Mathematics 
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.
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