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Definitions of hyperbola

an open curve formed by a plane that cuts the base of a right circular cone Scrapingweb Dictionary DB

A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus. Webster Dictionary DB

A curve formed by the section of a cone when the cutting plane makes a greater angle with the base than is made by the surface of the cone. The Winston Simplified Dictionary. By William Dodge Lewis, Edgar Arthur Singer. Published 1919.

(geom.) One of the conic sections or curves formed when the intersecting plane makes a greater angle with the base than the side of the cone makes. The american dictionary of the english language. By Daniel Lyons. Published 1899.

HYPERBOLIC, HYPERBOLICAL. The american dictionary of the english language. By Daniel Lyons. Published 1899.

HYPERBOLICALLY. The american dictionary of the english language. By Daniel Lyons. Published 1899.

Geom. The figure formed when two cones, placed vertex to vertex, are cut by a plane that passes through them both. The Concise Standard Dictionary of the English Language. By James Champlin Fernald. Published 1919.

A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. Nuttall's Standard dictionary of the English language. By Nuttall, P.Austin. Published 1914.

One of the conic sections or curves, formed by the section of a cone when the cuttingplane makes a greater angle with the base than the side of the cone makes. Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.

h[=i]per'bola, n. (geom.) one of the conic sections or curves formed when the intersecting plane makes a greater angle with the base than the side of the cone makes.adjs. HYPERBOL'IC, AL.adv. HYPERBOL'ICALLY.adjs. HYPERBOL'IFORM; HYPER'BOLOID. [L.,Gr. hyperbol[=e], from hyperballeinhyper, beyond, ballein, to throw.] gutenberg.org/ebooks/37683

(geom.). Curve produced when cone is cut by plane making larger angle with base than side of cone makes (cf. ELLIPSE). Hence hyperbolic a. [Greek] Concise Oxford Dictionary

[Gr.] (Math.) One of the Conic sections. It is described by a moving point, the difference of whose distance from two fixed points (its foci) is always the same; it consists of two distinct parts contained within the opposite angles formed by two straight lines; it continually approaches but never actually meets these lines, which are called its asymptotes. Glossary of terms and phrases  Percy

n. [Greek] A curve formed by a section of a cone, when the cuttingplane makes a greater angle with the base than the side of the cone makes. Cabinet Dictionary

A term in mathematicks. Complete Dictionary
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