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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.

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Overview

History

Coordinates

Equations and curves

Distance and angle

Transformations

Geometric axis

Spherical and nonlinear planes and their tangents

Books

Articles

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Analytic geometry

Nodes123
Edges122
Triples111
Avg. degree1.98
Density0.01626
Components1

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Analytic geometry

Top relations

related to Books · 26
Analytic geometry → Addison Wesley Longman, AMS, An Introduction, Boyer, Carl, Casey, Circle, Conic Sections, Dover Publications, Ed, Florian, Geometry Semester, Harvard University Press, History, Internet Archive, Internet ArchiveStruik, ISBN, Katz, Lectures, Line
related to Western Europe · 22
Analytic geometry → Analytic, Cartesian, Descartes, Descartes's, Discourse, Europe, Fermat, French, Geometry, Initially, La Geometrie, La Géométrie, Latin, Method, Only, Pierre, René Descartes, Rightly Directing One's Reason, Schooten, Sciences
related to Articles · 18
Analytic geometry → American Mathematical Monthly, BF03023730Boyer, Bissell, Carl, Cartesian, Christopher, Descartes, Fermat, Johann Hudde, JSTOR, Mathematics Teacher, MT, Newton, The Beginnings, The Discovery, The Dutch, The Mathematical Intelligencer, Three Dimensions
related to Ancient Greece · 12
Analytic geometry → Apollonius, Conics, Coordinates, Descartes, He, His, However, Menaechmus, On Determinate Section, Perga, That, The Greek
related to Persia · 11
Analytic geometry → Algebra, Because, Demonstrations, Descartes, Europe, Khayyam, Omar Khayyam, Persian, Problems, The, Treatise
related to Distance and angle · 8
Analytic geometry → Cartesian, Euclidean, For, In, Pythagorean, Similarly, The, These
related to Equations and curves · 6
Analytic geometry → For, In, The, These, This, Usually
related to Coordinates · 5
Analytic geometry → Euclidean, In, Similarly, The, There

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Important terminology

displaystyle geometry equation point plane line analytic equations space coordinates two intersection points curve geometric also cartesian coordinate angle descartes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
distanceinstance ofgeometric notions0.80text
angle measure are defined using formulasinstance ofgeometric notions0.80text
a line or vector that is perpendicular to a given objectinstance ofa normal is an object0.80text
Analytic geometryrelated to Ancient GreeceThe Greek0.60section
Analytic geometryrelated to Ancient GreeceMenaechmus0.60section
Analytic geometryrelated to Ancient GreeceApollonius0.60section
Analytic geometryrelated to Ancient GreecePerga0.60section
Analytic geometryrelated to Ancient GreeceOn Determinate Section0.60section
Analytic geometryrelated to Ancient GreeceConics0.60section
Analytic geometryrelated to Ancient GreeceDescartes0.60section
Analytic geometryrelated to Ancient GreeceHis0.60section
Analytic geometryrelated to Ancient GreeceHe0.60section

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    Min side: 3
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