Euclidean geometry

Detail from Raphael's The School of Athens featuring a Greek mathematician – perhaps representing Euclid or Archimedes – using a compass to draw a geometric construction.

The parallel postulate (Postulate 5): If two lines intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.

A proof from Euclid's elements that, given a line segment, an equilateral triangle exists that includes the segment as one of its sides. The proof is by construction: an equilateral triangle ΑΒΓ is made by drawing circles Δ and Ε centered on the points Α and Β, and taking one intersection of the circles as the third vertex of the triangle.

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.

单词	Classical geometry
释义	Classical geometry 英语百科 Euclidean geometry 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.
随便看	multiplexed distribution的意思 multiplexed distribution service的意思 multiplexed format的意思 multiplexed hologram的意思 multiplexed information的意思 Multiplexed Information and Computing Service的意思 Multiplexed Information and Computing System的意思 multiplexed laser的意思 multiplexed line的意思 multiplexed message processor的意思 multiplexed microwave data communication的意思 multiplexed operation的意思 multiplexed output的意思 multiplexed pixel input port的意思 multiplexed sequence的意思 multiplexed signal的意思 multiplexed system的意思 multiplexed voice communication的意思 multiplexel circuit的意思 multiplex endemlca neuritis的意思 multiplex equipment的意思 multiplexer的意思 multiplexer and bus interface的意思 multiplexer and terminal unit的意思 multiplexer bus mode的意思

Classical geometry

Euclidean geometry