Analytic Geometry

The study of the Geometry of figures by algebraic representation and manipulation of equations describing their positions, configurations, and separations. Analytic geometry is also called Coordinate Geometry since the objects are described as $n$-tuples of points (where $n=2$ in the Plane and 3 in Space) in some Coordinate System.

See also Argand Diagram, Cartesian Coordinates, Complex Plane, Geometry, Plane, Quadrant, Space, x-Axis, y-Axis, z-Axis

References

Courant, R. and Robbins, H. ``Remarks on Analytic Geometry.'' §2.3 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 72-77, 1996.