<P> Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid , which he described 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 . </P>
<P> Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid , which he described 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 . </P>
who worked out a system of plane geometry
who worked out a system of plane geometry
the Alexandrian Greek mathematician Euclid
the Alexandrian Greek mathematician Euclid