A geometry in which Euclid's fifth postulate holds, sometimes also called parabolic geometry. Two-dimensional Euclidean geometry is called plane geometry, and three-dimensional Euclidean geometry is called solid geometry. Hilbert proved the consistency of Euclidean geometry.
Euclidean Geometry
See also
Elements, Elliptic Geometry, Geometric Construction, Geometry, Hyperbolic Geometry, Non-Euclidean Geometry, Plane GeometryExplore with Wolfram|Alpha
References
Altshiller-Court, N. College Geometry: A Second Course in Plane Geometry for Colleges and Normal Schools, 2nd ed., rev. enl. New York: Barnes and Noble, 1952.Casey, J. A Treatise on the Analytical Geometry of the Point, Line, Circle, and Conic Sections, Containing an Account of Its Most Recent Extensions with Numerous Examples, 2nd rev. enl. ed. Dublin: Hodges, Figgis, & Co., 1893.Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., 1967.Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, 1969.Dodge, C. W. Euclidean Geometry and Transformations. New York: Dover, 2004.Gallatly, W. The Modern Geometry of the Triangle, 2nd ed. London: Hodgson, 1913.Greenberg, M. J. Euclidean and Non-Euclidean Geometries: Development and History, 3rd ed. San Francisco, CA: W. H. Freeman, 1994.Heath, T. L. The Thirteen Books of the Elements, 2nd ed., Vol. 1: Books I and II. New York: Dover, 1956.Heath, T. L. The Thirteen Books of the Elements, 2nd ed., Vol. 2: Books III-IX. New York: Dover, 1956.Heath, T. L. The Thirteen Books of the Elements, 2nd ed., Vol. 3: Books X-XIII. New York: Dover, 1956.Honsberger, R. Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., 1995.Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, 1929.Klee, V. "Some Unsolved Problems in Plane Geometry." Math. Mag. 52, 131-145, 1979.Klee, V. and Wagon, S. Old and New Unsolved Problems in Plane Geometry and Number Theory, rev. ed. Washington, DC: Math. Assoc. Amer., 1991.Weisstein, E. W. "Books about Plane Geometry." http://www.ericweisstein.com/encyclopedias/books/PlaneGeometry.html.Referenced on Wolfram|Alpha
Euclidean GeometryCite this as:
Weisstein, Eric W. "Euclidean Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EuclideanGeometry.html