American Heritage® Dictionary of the English Language, Fourth Edition
- n. Either of two quadric surfaces generated by rotating a hyperbola about either of its main axes and having a finite center with certain plane sections that are hyperbolas and others that are ellipses or circles.
Century Dictionary and Cyclopedia
- n. A quadric surface having a center not at infinity, and some of its plane sections hyperbolas. There are two kinds of hyperboloid, those of one and of two sheets. The hyperboloid of one sheet has a real intersection with every plane in space; that of two sheets has only imaginary intersections with some planes. In either case all the plane sections perpendicular to one of the axes are ellipses, and those perpendicular to either of the others are hyperbolas.
- n. A hyperbola of a higher order.
- n. 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.
GNU Webster's 1913
- n. (Geom.) A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.
- adj. (Geom.) Having some property that belongs to an hyperboloid or hyperbola.
- n. a quadric surface generated by rotating a hyperbola around its main axis
“It has 4 nester hyperboloid mirrors and 4 nested paraboloid mirrors to focus the x-rays.”
“Figure 3 by taking Î£ to be the indicated spacelike hyperboloid of (1 + 1) - dimensional Minkowski spacetime.”
“The big milling machine was working on the final large beryllium component, a large metallic hyperboloid about fifty centimeters in length, with a maximum width of twenty.”
“Inside the hyperboloid will be this cylinder of tritium-enriched lithium deuteride. ”
“Armed with this and with the running data from instruments he set out to calculate the hyperboloid by which he intended to pass the Sun.”
“They would pass very close to Earth in an hyperboloid at better than five miles per second, Earth relative.”
“The Valkyrie blasted away to shape a fast, almost flat, hyperboloid orbit; she would arrive as soon or sooner than the Nautilus.”
“He put on his control machine the equation of a hyperboloid of two branches, and changed the constants gradually till the two branches came close.”
“PRAGUE - Architect Karel Hubacek, whose bold hyperboloid design for an elegant mountain-top hotel was named the most significant Czech building of the 20th century, has died.”
“• The spatial section of the universe is a 3-sphere [a higher-dimensional analogue of a sphere], ruling out the possibility of a flat or hyperboloid geometry.”
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