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Parabola   Listen
noun
Parabola  n.  (pl. parabolas)  (Geom.)
(a)
A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus.
(b)
One of a group of curves defined by the equation y = ax^(n) where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = 3/2. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes.






Collaborative International Dictionary of English 0.48








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"Parabola" Quotes from Famous Books



... are really general propositions. For example, when we have proved with respect to the circle, that a straight line can not meet it in more than two points, and when the same thing has been successively proved of the ellipse, the parabola, and the hyperbola, it may be laid down as a universal property of the sections of the cone. The distinction drawn in the two previous examples can have no place here, there being no difference between all known sections of the cone and all ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill

... arcuation[obs3], devexity|, turn, deviation, detour, sweep; curl, curling; bough; recurvity[obs3], recurvation[obs3]; sinuosity &c. 248. kink. carve, arc, arch, arcade, vault, bow, crescent, half-moon, lunule[obs3], horseshoe, loop, crane neck; parabola, hyperbola; helix, spiral; catenary[obs3], festoon; conchoid[obs3], cardioid; caustic; tracery; arched ceiling, arched roof; bay window, bow window. sine curve; spline, spline curve, spline function; obliquity ...
— Roget's Thesaurus

... separating the lenses of an achromatic object-glass (suggested by my old telescope), Barlow's theory of numbers, and division of the circle into 17 parts, partial differentials, theory of eye-pieces, epicycloids, Figure of the Earth, Time of body in arc of parabola, Problem of Sound, Tides, Refraction of Lens, including thickness, &c., Ivory's paper on Equations, Achromatism of microscope, Capillary Attraction, Motions of Fluids, Euler's principal axes, Spherical pendulum, Equation ...
— Autobiography of Sir George Biddell Airy • George Biddell Airy

... he had reached the cathedral, and for the hundredth time stood to admire those powerful abutments throwing out, with the strong curve of a projectile, flying buttresses like spoked wheels, and, as usual, he was amazed by the flight of the parabola, the grace of the trajectory, the sober strength of those curved supports. "Still," said he to himself, as he studied the parapet raised above them, bordering the roof of the nave, "the architect who was content to stamp out those trefoil arches, as if they were punched in that stone parapet, ...
— The Cathedral • Joris-Karl Huysmans

... walls so far overhanging as to conceal the zygomatic arches in the vertical view, so that if lines be drawn as previously mentioned, instead of forming a triangle they may, like the asymptotes of a parabola, be extended to ...
— The First Landing on Wrangel Island - With Some Remarks on the Northern Inhabitants • Irving C. Rosse

... Michelangelo brought to its perfection that system of working wholly through the human form which Signorelli initiated. He shared his violence, his terribilita, his almost brutal candour. In the fated evolution of Italian art, describing its parabola of vital energy, Michelangelo softened, sublimed, and harmonised his predecessor's qualities. He did this by abandoning Luca's naivetes and crudities; exchanging his savage transcripts from coarse life for ...
— The Life of Michelangelo Buonarroti • John Addington Symonds

... sphere and cylinder, terminating in the discovery that the solidity and surface of a sphere are two thirds respectively of the solidity and surface of the circumscribing cylinder. He also wrote on conoids and spheroids. "The properties of the spiral and the quadrature of the parabola were added to ancient geometry by Archimedes, the last being a great step in the progress of the science, since it was the first curvilineal space legitimately squared." Modern mathematicians may not have the patience to go through his investigations, since the conclusions he arrived at may now be ...
— Beacon Lights of History, Volume III • John Lord



Words linked to "Parabola" :   parabolical, conic section



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