Definition of Hyperboloid

1. Noun. A quadric surface generated by rotating a hyperbola around its main axis.

Generic synonyms: Quadric, Quadric Surface
Derivative terms: Hyperboloidal



Definition of Hyperboloid

1. n. A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.

2. a. Having some property that belongs to an hyperboloid or hyperbola.

Definition of Hyperboloid

1. Noun. 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. ¹

¹ Source: wiktionary.com

Definition of Hyperboloid

1. [n -S]

Medical Definition of Hyperboloid

1. A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface. Hyperboloid of revolution, an hyperboloid described by an hyperbola revolving about one of its axes. The surface has two separate sheets when the axis of revolution is the transverse axis, but only one when the axis of revolution is the conjugate axis of the hyperbola. Having some property that belongs to an hyperboloid or hyperbola. (04 Mar 1998)

Hyperboloid Pictures

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Lexicographical Neighbors of Hyperboloid

hyperbolic tangent
hyperbolical
hyperbolically
hyperbolicity
hyperbolick
hyperboliform
hyperbolike
hyperbolism
hyperbolisms
hyperbolist
hyperbolists
hyperbolize
hyperbolized
hyperbolizes
hyperbolizing
hyperboloid (current term)
hyperboloidal
hyperboloids
hyperbolæ
hyperboreal
hyperborean
hyperboreans
hyperboulia
hyperbrachycephaly
hyperbranched
hypercaffeinated
hypercalcaemia
hypercalcaemias
hypercalcemia
hypercalcemias

Literary usage of Hyperboloid

Below you will find example usage of this term as found in modern and/or classical literature:

1. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"Conversely, any hexagon whose sides lie in a hyperboloid is a ... This hexagon V inscribed in U determines uniquely a hyperboloid on which it lies. ..."

2. An Elementary Treatise on Solid Geometry: By Charles Smith by Charles Smith (1884)
"These lines are clearly real when the surface is an hyperboloid of one sheet, and imaginary when ... Hence the hyperboloid of one sheet is a ruled surface. ..."

3. The Mechanic's Assistant: A Thorough Practical Treatise on Mensuration and by D. M. Knapen (1849)
"hyperboloid. An hyperboloid is a solid generated by the revolution of an hyperbola ... A frustum of an hyperboloid is a portion of it contained between two ..."

4. The Elements of Descriptive Geometry: Shadows and Perspective. With a Brief by Samuel Edward Warren (1877)
"Construct a tangent plane to a warped hyperboloid, and parallel to a given ... To find the intersection of a plane and warped hyperboloid of revolution, ..."

5. New Analytic Geometry by Percey Franklyn Smith, Arthur Sullivan Gale (1912)
"The equation of the curve in which a plane parallel to the A"T-plane, z = k, intersects the hyperboloid is The locus of this equation is an ellipse. ..."

6. An Elementary Course in Analytic Geometry by John Henry Tanner, Joseph Allen (1898)
"+ Byz — Cz2 — K=Q represents an un-parted hyperboloid. ... The bi-parted hyperboloid: equation ^i~^ From the equation a?2 y2 3 _ ..."

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