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A section; a category w/ similar material in it. *+~+*
Certainly as far back as the era of ancient Egypt. The form of the pyramids, and their alignment is remarkably true. And even then, this was almost after a lengthy period of cerebration and measuremnt.
It comes from geo (Earth) and metron (measure). So in a technical sense, it means to measure Earth or land.
It's great importance of geometry as far as everything is measured in some way and in civil structures as buildings and properties geometry has great importance so there's no disaster.
Euclid is famous because he was a great geometrist. Today, his style of geometry is called Euclidean Geometry. I do it at school sometimes because my teacher absolutely adores it and so do I :)