|
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.
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.
|
Contact the MathWorld Team
