analytic geometry


analytic geometry

noun

Definition of ANALYTIC GEOMETRY

:  the study of geometric properties by means of algebraic operations upon symbols defined in terms of a coordinate system —called also coordinate geometry

First Known Use of ANALYTIC GEOMETRY

1835

analytic geometry

noun    (Concise Encyclopedia)

Investigation of geometric objects using coordinate systems. Because René Descartes was the first to apply algebra to geometry, it is also known as Cartesian geometry. It springs from the idea that any point in two-dimensional space can be represented by two numbers and any point in three-dimensional space by three. Because lines, circles, spheres, and other figures can be thought of as collections of points in space that satisfy certain equations, they can be explored via equations and formulas rather than graphs. Most of analytic geometry deals with the conic sections. Because these are defined using the notion of fixed distance, each section can be represented by a general equation derived from the distance formula.

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