Euclidean geometry is 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 underlies elementary geometry in its traditional sense and is central to the broader subject of classical
geometry .
See also Classical Geometry ,
Elementary Geometry ,
Elements ,
Elliptic
Geometry ,
Geometric Construction ,
Geometry ,
Hyperbolic
Geometry ,
Non-Euclidean Geometry ,
Plane Geometry
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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. Coxeter,
H. S. M. Introduction
to Geometry, 2nd ed. Coxeter, H. S. M.
and Greitzer, S. L. Geometry
Revisited. Dodge, C. W.
Euclidean
Geometry and Transformations. Gallatly,
W. The
Modern Geometry of the Triangle, 2nd ed. Greenberg,
M. J. Euclidean
and Non-Euclidean Geometries: Development and History, 3rd ed. Heath, T. L. The
Thirteen Books of the Elements, 2nd ed., Vol. 1: Books I and II. Heath, T. L. The
Thirteen Books of the Elements, 2nd ed., Vol. 2: Books III-IX. Heath, T. L. The
Thirteen Books of the Elements, 2nd ed., Vol. 3: Books X-XIII. Honsberger, R. Episodes
in Nineteenth and Twentieth Century Euclidean Geometry. Johnson, R. A. Modern
Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. 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. Weisstein, E. W. "Books about
Plane Geometry." http://www.ericweisstein.com/encyclopedias/books/PlaneGeometry.html . Referenced
on Wolfram|Alpha Euclidean Geometry
Cite this as:
Weisstein, Eric W. "Euclidean Geometry."
From MathWorld https://mathworld.wolfram.com/EuclideanGeometry.html
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