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=== Confocal quadrics === The article [[confocal conic sections]] deals with confocal ''quadrics'', too. They are a prominent example of a non trivial orthogonal system of ...

...on of a [[quadric]] (sphere, cylinder, cone, etc.), c) intersection of two quadrics in special cases. For the general case, literature provides algorithms, in ...adrics. In any case (parallel or central projection), the contour lines of quadrics are conic sections. See below and [[:de:Umrisskonstruktion|Umrisskonstrukti ...

...iamino|last=Segre|year=1951}}, is an intersection of two [[quadric surface|quadrics]] in 4-dimensional [[projective space]]. ...

{{about|quadrics in [[algebraic geometry]]|quadrics over the [[real number]]s|quadric}} ...[[polynomial]] equation of degree 2 over a [[field (mathematics)|field]]. Quadrics are fundamental examples in [[algebraic geometry]]. The theory is simplifie ...

...entation generalizes naturally to higher dimensions (see {{slink||Confocal quadrics}}). ...definition of the focal curves of confocal quadrics. See {{slink|#Confocal quadrics}} below. ...

==== Quadrics in the projective plane ==== ...

[[Category:Quadrics]] ...

...any other circles, if it is not a sphere. More hidden are circles on other quadrics, such as tri-axial ellipsoids, elliptic cylinders, etc. Nevertheless, it is [[Category:Quadrics| ]] ...

...ct ovoids by combining halves of suitable ellipsoids such that they are no quadrics. ...

...oc. London Math.|pages=259–271|title=Tetrahedra in relation to spheres and quadrics|volume=Soc.17}}<!-- auto-translated by Module:CS1 translator --></ref><ref ...

...irwise disjoint hyperbolic quadrics and two lines disjoint from all of the quadrics and each other. Since a hyperbolic quadric consists of the points covered b ...y an [[Pencil (mathematics)|algebraic pencil]] generated by any two of the quadrics), as articulated by André.<ref name=":0" /> Using nest replacement, Ebert<r ...

...-link=H. F. Baker| title=Principles of geometry. Volume 3. Solid geometry. Quadrics, cubic curves in space, cubic surfaces. | url=https://archive.org/stream/pr ...

...to define the Jacobi form of an elliptic curve as the intersection of two quadrics. Let ''E_a,b'' be an elliptic curve in the Weierstrass form, we a ...

...invariants are the invariants of odd weight. They do not exist for binary quadrics, cubics, or quartics, but do for binary quintics. {{harv|Elliott|1895|loc=p {{defn|An invariant of nets of quadrics in 3-dimensional projective space that vanishes on nets with a common polar ...

Forms of degrees 2, 3, 4, 5, 6, 7, 8, 9, 10 are sometimes called quadrics, cubic, quartics, quintics, sextics, septics or septimics, octics or octavi ...

...o [[quadratic equation]]s that can be easily solved. Intersections between quadrics lead to [[quartic equation]]s that can be solved [[algebraic equation|algeb ...

[[Category:Quadrics]] ...

...s a set of 8 points in projective space given by the intersection of three quadrics. {{harv|Dolgachev|2012|loc=6.3.1}} }} ...|no=2|1= A [[Steinerian]] is the locus of the singular points of the polar quadrics of a hypersurface. {{harvtxt|Salmon|1879}}}} ...