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.

**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.

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.

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1999-05-25