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 
-tuples
of points (where 
in the plane and 3 in space)
in some coordinate system.
Analytic Geometry
See also
Argand Diagram, Cartesian Coordinates, Cartesian Geometry, Complex Plane, Geometry, Plane, Quadrant, Space, x-Axis, y-Axis, z-AxisExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Analytic GeometryCite this as:
Weisstein, Eric W. "Analytic Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AnalyticGeometry.html