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Hyperboloid

A particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.

📖 Definitions of "Hyperboloid"

noun
  1. 1

    A particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.

💡 Words with a Similar Meaning to "Hyperboloid"

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WordDefinition
sheetedCovered by a sheet, as of cloth or paper.
bifoliumnoun(geometry) A quartic plane curve whose equation in Cartesian coordinates is (x²+y²)²=ax²ʸ.
hyperbolic spacenoun(mathematics) Any space exhibiting hyperbolic geometry rather than Euclidean geometry
quadricnoun(mathematics) A surface or curve whose shape is defined in terms of a quadratic equation
superellipsoidnoun(algebra, geometry) A closed surface, of which the sphere and ellipsoid are special cases, whose parametric equation is x = a.cos^(2/r)t, y = b.cos^(2/r)t, z = c.cos^(2/r)t.
hyperbolic geometrynoun(geometry) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature
unit hyperbolanoun(geometry) The hyperbola that satisfies the equation: x²-y²=1
hyperellipsenoun(geometry) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.
cyclidenoun(mathematics) Any of a class of surfaces, described by quartic expressions, that are related to spherical surfaces
hypersurfacenoun(mathematics) A n-dimensional surface in a space (often a Euclidean space) of dimension n+1
hypergeometrynounA geometry in more than three dimensions.
squirclenounAn object whose shape combines a circle and a square.
cubic curvenoun(mathematics) A plane curve defined by an equation whose highest degree is 3. Formally, the set of solutions to an equation of the form
biquadratic(mathematics) Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1.
hypercylindernoun(mathematics) A four-dimensional analog of a cylinder
cubic(geometry) Used in the names of units of volume formed by multiplying a unit of length by itself twice.
hyperbolic polynomialnoun(mathematics) A real, multivariate homogeneous polynomial p(x) is hyperbolic (in direction e) if p(x-te) = 0 has only real roots as a function of t.
hyperquadricnoun(mathematics) A particular generalization of a superquadric
quadrilateralizationnounAlternative form of quadrangulation. [(mathematics) A graph embedded in a surface such that every face is a quadrangle.]
hyperbolic quaternionnoun(mathematics, abstract algebra) A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}

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