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Conic section

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though it was sometimes considered a fourth type. The ancient Greek mathematicians studied conic sections, culminating…

History & Applications

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Overview

Euclidean geometry

History

Applications

In the real projective plane

In the complex geometry

Degenerate cases

Pencil of conics

Intersecting two conics

Generalizations

In other areas of mathematics

Bibliography

Advanced semantic analysis

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Map overview Semantic statistics

Conic section

Nodes183
Edges182
Triples196
Avg. degree1.99
Density0.010929
Components1

How this topic connects Entity context

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Conic section

Top relations

related to Bibliography · 94
Conic section → Addison Wesley Longman, Addison-Wesley, Akopyan, Allyn, America, American Mathematical Society, An Introduction, Analytic Geometry, Artzy, BaconFaulkner, Berlin, Blaisdell, Boris, Boston, Boyd, Bruce, Business MediaDowns, Calculus, Cambridge University Press, Carl
related to Menaechmus and early works · 16
Conic section → Archimedes, BC, Cones, Delian, Duplicating, Euclid, His, If, It, Menaechmus, On Conoids, Parabola, Quadrature, Spheroids, The, Three
related to Apollonius of Perga · 14
Conic section → AD, Alexandria, Apollonius, Apollonius's, BC, Circles, Conic Sections, Conics, Greeks, Pappus, Perga, Pythagorean, The, This
has application · 8
Conic section → Canary, Conic, Herschel, If, La Palma, Newton's, See, The
related to Islamic world · 8
Conic section → Abu, Apollonius's, Arabic, Islamic, Jud, Khayyam, Omar Khayyám, Persian
related to Degenerate cases · 7
Conic section → Euclidean, In, The, There, These, What, With
related to In the real projective plane · 7
Conic section → Euclidean, More, On, One, R2, The, The Euclidean
related to Standard forms in Cartesian coordinates · 7
Conic section → After, By, Cartesian, Define, For, In, The
related to External links · 5
Conic section → Conics, Eric, MathWorld, Occurrence, Weisstein
related to Eccentricity, focus and directrix · 4
Conic section → Alternatively, Euclidean, For, The

Important terminology Word statistics

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Important terminology

conic plane points line projective point two ellipse hyperbola conics geometry parabola one lines equation section circle sections intersection displaystyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Conic sectionis acircle0.90text
with the equation x 2instance ofThe empty set case may correspond either to a pair of complex conjugate parallel lines0.80text
Conic sectionhas applicationConic0.60section
Conic sectionhas applicationNewton's0.60section
Conic sectionhas applicationIf0.60section
Conic sectionhas applicationSee0.60section
Conic sectionhas applicationThe0.60section
Conic sectionhas applicationHerschel0.60section
Conic sectionhas applicationLa Palma0.60section
Conic sectionhas applicationCanary0.60section
Conic sectionrelated to Apollonius of PergaThe0.60section
Conic sectionrelated to Apollonius of PergaGreeks0.60section

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    Min side: 3
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