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Elementary Geometry

Elementary geometry is the traditional study of basic figures and geometric constructions in Euclidean geometry. It includes plane geometry and solid geometry (Roe 1993). In this traditional sense, it forms part of classical geometry.

In logic, Tarski (1959, pp. 16-17) uses the term for a formulation of Euclidean geometry in first-order logic. In this formulation, variables range over points, with no variables ranging over arbitrary sets of points.

See also

Classical Geometry, Euclidean Geometry, First-Order Logic, Plane Geometry, Solid Geometry

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References

Roe, J. Elementary Geometry. Oxford, England: Oxford University Press, 1993. https://doi.org/10.1093/oso/9780198534570.001.0001.Tarski, A. "What Is Elementary Geometry?" In The Axiomatic Method with Special Reference to Geometry and Physics (Ed. L. Henkin, P. Suppes, and A. Tarski). Amsterdam, Netherlands: North-Holland, pp. 16-29, 1959. https://doi.org/10.1016/S0049-237X(09)70017-5.

Cite this as:

Weisstein, Eric W. "Elementary Geometry." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ElementaryGeometry.html

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