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Qu'est-ce (qui) est coordinate geometry - définition

STUDY OF GEOMETRY USING A COORDINATE SYSTEM

Analytical geometry; Cartesian geometry; Analytic Geometry; Coordinate geometry; Co-ordinate geometry; History of analytic geometry; Equation of a curve

analytical geometry

¦ noun geometry making use of coordinates.

Analytic geometry

In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry.

https://en.wikipedia.org/wiki/Analytic_geometry

Synthetic geometry

STUDY OF GEOMETRY WITHOUT THE USE OF COORDINATES OR FORMULAS.

Synthetical geometry; Computational synthetic geometry; Pure geometry; Synthetic proof

Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is the study of geometry without the use of coordinates or formulae. It relies on the axiomatic method and the tools directly related to them, that is, compass and straightedge, to draw conclusions and solve problems.

https://en.wikipedia.org/wiki/Synthetic_geometry

Wikipédia

Analytic geometry

In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry.

Analytic geometry is used in physics and engineering, and also in aviation, rocketry, space science, and spaceflight. It is the foundation of most modern fields of geometry, including algebraic, differential, discrete and computational geometry.

Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes three dimensions. Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space. As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometric shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor–Dedekind axiom.

https://en.wikipedia.org/wiki/Analytic geometry