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Quadric

In mathematics, a quadric or quadric surface is a generalization of conic sections (ellipses, parabolas, and hyperbolas). In three-dimensional space, quadrics include ellipsoids, paraboloids, and hyperboloids.

Euclidean space, Projective quadrics over fields & Definition and basic properties

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Overview

Formulation

Euclidean plane

Euclidean space

Definition and basic properties

Normal form of projective quadrics

Rational parametrization

Rational points

Projective quadrics over fields

Bibliography

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Map overview Semantic statistics

Quadric

Nodes140
Edges139
Triples121
Avg. degree1.99
Density0.014286
Components1

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Quadric

Top relations

related to Bibliography · 23
Quadric → Audin, Berger, Berlin, Beutelspacher, Braunschweig, Dembowski, EMS PressWeisstein, Encyclopedia, Eric, Finite Geometries, Geometry, ISBN, Iskovskikh, ISSN, Mathematics, MathWorld, Problem Books, Projektive Geometrie, Rosenbaum, Springer
related to Latitude, longitude, and altitude as quadric surfaces · 12
Quadric → Altitudes, Earth, Earth's, If, In, Latitude, Latitudes, The, This, WGS84, When, World Geodetic System
related to Quadric Surface Affine Transformation · 10
Quadric → Affine, For, Here, However, If, Note, Such, The, These, Using
related to Definition and basic properties · 7
Quadric → An, As, Euclidean, However, Many, Technically, When
related to Intersection with a line · 7
Quadric → For, From, Hence, II, In, Let, Proof
related to Quadric surface patches in graphical ray tracing · 7
Quadric → Frequently, However, In, Indeed, The, Thus, Using
related to External links · 6
Quadric → Interactive Java, Introduction, Laguerre, Minkowski Planes, Moebius, Note Planar Circle Geometries
related to Projective quadric · 6
Quadric → E1, E2, Examples, For, That, They
related to Rational parametrization · 6
Quadric → Expressing, Given, In, The, This, Zariski
related to Euclidean space · 5
Quadric → Euclidean, In, That, The, Their

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Important terminology

displaystyle one points two equation point space projective case form mathbf real surface affine field vec set matrix quadrics conic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quadricis aaffine algebraic variety0.90text
Quadricis aset of zeros of a polynomial of degree two0.90text
Quadricis aset of zeros in a projective space of a homogeneous polynomial of degree two.As the above process of homogenization can be reverted by setting X00.90text
Quadricis arather homogeneous object0.90text
Quadricrelated to BibliographyAudin0.60section
Quadricrelated to BibliographyGeometry0.60section
Quadricrelated to BibliographySpringer0.60section
Quadricrelated to BibliographyBerlin0.60section
Quadricrelated to BibliographyISBN0.60section
Quadricrelated to BibliographyBerger0.60section
Quadricrelated to BibliographyProblem Books0.60section
Quadricrelated to BibliographyMathematics0.60section

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