Geometry (from the Greek words geo = earth and metro =
measure) is the branch of mathematics first popularized in ancient Greek culture
by Thales (circa 624-547 BC) dealing with spatial relationships.
Because of its immediate practical applications, geometry was one of the
first branches of mathematics to be developed. Likewise, it was the first field
to be put on an axiomatic basis, by Euclid.
The Greeks were interested in many questions about ruler-and-compass
constructions. The next most significant development had to wait until a
millennium later, and that was analytic geometry, in which coordinate systems
are introduced and points are represented as ordered pairs or triples of
numbers. This sort of representation has since then allowed us to construct new
geometries other than the standard Euclidean version.
Select one of the following geometry concepts: