the alexandrian greek mathematician euclid worked out a system of plane geometry.
the alexandrian greek mathematician euclid worked out a system of plane geometry.
who worked out a system of plane geometry?
the alexandrian greek mathematician euclid
"euclidean geometry" is a mathematical system attributed to the alexandrian greek mathematician euclid, which he described (although non-rigorously by modern standards) in his textbook on geometry: the "elements". euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. although many of euclid's results had been stated by earlier mathematicians, euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system. the "elements" begins with plane geometry, still taught in secondary school as the first axiomatic system and the first examples of formal proof. it goes on to the solid geometry of three dimensions. much of the "elements" states results of what are now called algebra and number theory, explained in geometrical language.
foundations of geometry
plane geometry (disambiguation)









































in mathematics, plane geometry may refer to the geometry of a two-dimensional geometric object called a plane.









































most times it refers to euclidean plane geometry, the geometry of plane figures,









































more specifically it can refer to:









































bullet::::- euclidean plane geometry:









































bullet::::- cartesian geometry, the study of geometry using a coordinate system









































bullet::::- two-dimensional space









































bullet::::- synthetic geometry, the study of geometry using a logical deduction and compass and straightedge constructions









































bullet::::- geometry of a projective plane,









































bullet::::- often the real projective plane,









































bullet::::- but possibly the complex projective plane or projective plane defined over some other field,
plane geometry (disambiguation)