# Algebric Geometry.

**Geometry** (from the Ancient Greek: γεωμετρία; geo-"earth", - metron "estimation") is a part of arithmetic worried about inquiries of shape, size, relative position of figures, and the properties of room. A mathematician __who works __in the field of geometry is known as a geometer.

Geometry emerged autonomously in various early societies as a down to earth route for managing lengths, regions, and volumes. Geometry started to see components of formal numerical science rising in the West as right on time as the sixth century BC.[1] By the third century BC, geometry was put into an aphoristic structure by Euclid, whose treatment, Euclid's Elements, set a standard for a long time to follow.[2] Geometry emerged freely in India, with writings giving principles to geometric developments showing up as ahead of schedule as the third century BC.[3] Islamic researchers safeguarded Greek thoughts and developed them during the Middle Ages.[4] By the mid seventeenth century, geometry had been put on a strong diagnostic balance by mathematicians, for example, René Descartes and Pierre de Fermat. From that point forward, and into current occasions, geometry has ventured into non-Euclidean geometry and manifolds, portraying spaces that lie past the ordinary scope of human experience.[5]

While geometry has advanced altogether consistently, there are some broad ideas that are pretty much principal to geometry. These incorporate the ideas of focuses, lines, planes, surfaces, edges, and bends, just as the further developed thoughts of manifolds and topology or metric.[6]

Geometry has applications to numerous fields, including craftsmanship, engineering, material science, just as to different parts of arithmetic.