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・ Anameristes doryphora
・ Anameromorpha
・ Anamesa
・ Analytic and enumerative statistical studies
・ Analytic applications
・ Analytic apriori
・ Analytic capacity
・ Analytic combinatorics
・ Analytic confidence
・ Analytic continuation
・ Analytic dissection
・ Analytic element method
・ Analytic frame
・ Analytic Fredholm theorem
・ Analytic function
Analytic geometry
・ Analytic hierarchy process
・ Analytic hierarchy process – car example
・ Analytic hierarchy process – leader example
・ Analytic induction
・ Analytic journalism
・ Analytic language
・ Analytic manifold
・ Analytic narrative
・ Analytic network process
・ Analytic number theory
・ Analytic philosophy
・ Analytic polyhedron
・ Analytic proof
・ Analytic reasoning


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Analytic geometry : ウィキペディア英語版
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.
Analytic geometry is widely used in physics and engineering, and 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 squares, often in two and sometimes in three dimensions. Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space (three dimensions). As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometrical shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. The numerical output, however, might also be a vector or a shape. 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.
==History==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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