Euclidean geometry

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A Greek mathematician (possibly Euclid or Archimedes) performin a geometric construction wi a compass, frae The School of Athens bi Raphael

Euclidean geometry is a mathematical seestem attributit tae the Alexandrian Greek mathematician Euclid, which he described in his textbeuk on geometry: the Elements. Euclid's method consists in assumin a smaa set o intuitively appealin axioms, an deducin mony ither proposeetions (theorems) frae these. Altho mony o Euclid's results haed been statit bi earlier mathematicians,[1] Euclid wis the first tae shaw hou these proposeetions could fit intae a comprehensive deductive an logical seestem.[2] The Elements begins wi plane geometry, still taught in seicontary schuil as the first axiomatic seestem an the first examples o formal pruif. It gangs on tae the solit geometry o three dimensions. Much o the Elements states results o what are nou cried algebra an nummer theory, explained in geometrical leid.[3]

References[eedit | eedit soorce]

  1. Eves, vol. 1., p. 19
  2. Eves (1963), vol. 1, p. 10
  3. Eves, p. 19

Citit soorces

  • Eves, Howard (1963). A Survey of Geometry. Allyn and Bacon.