Euclidean Geometry

A Geometry in which Euclid's Fifth Postulate holds, sometimes also called Parabolic Geometry. 2-D Euclidean geometry is called Plane Geometry, and 3-D Euclidean geometry is called Solid Geometry. Hilbert proved the Consistency of Euclidean geometry.

See also Elliptic Geometry, Geometric Construction, Geometry, Hyperbolic Geometry, Non-Euclidean Geometry, Plane Geometry

References

Plane Geometry

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.

Gallatly, W. The Modern Geometry of the Triangle, 2nd ed. London: Hodgson, 1913.

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.

Johnson, R. A. Advanced Euclidean Geometry. New York: Dover, 1960.

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.