Geometry that deals with the relation between algebra and geometry, using graphs and equations of lines, curves, and surfaces to develop and prove relationships

(n) The analysis of geometric structures and properties, principally using algebraic operations and position coordinates. The term also refers to a particular geometric method for describing 3-D solid models.

the use of algebra to study geometric properties; operates on symbols defined in a coordinate system

The quantitative study of geometry using the tools and methods of algebra and calculus.

A branch of mathematics in which algebraic procedures are applied to geometry, i.e. coordinate geometry.

The branch of mathematics that uses functions and relations to study geometric phenomena, e.g., the description of ellipses and other conic sections in the coordinate plane by quadratic equations.

Analytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry or analytical geometry, is the study of geometry using the principles of algebra. Usually the Cartesian coordinate system is applied to manipulate equations for planes, lines, curves, and circles, often in two and sometimes in three dimensions of measurement. As taught in school books, analytic geometry can be explained more simply: it is concerned with defining geometrical shapes in a numerical way, and extracting numerical information from that representation.