Definition of Hyperbola

1. Noun. An open curve formed by a plane that cuts the base of a right circular cone.

Generic synonyms: Conic, Conic Section
Derivative terms: Hyperbolic



Definition of Hyperbola

1. n. 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.

Definition of Hyperbola

1. Noun. (geometry) A conic section formed by the intersection of a cone with a plane that intersects the base of the cone and is not tangent to the cone. ¹

¹ Source: wiktionary.com

Definition of Hyperbola

1. [n -LAE or -LAS]

Medical Definition of Hyperbola

1. 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. 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. Origin: Gr, prop, an overshooting, excess, i. E, of the angle which the cutting plane makes with the base. (06 Mar 1998)

Hyperbola Pictures

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Lexicographical Neighbors of Hyperbola

hyperbaton
hyperbatons
hyperbeat
hyperbeats
hyperbenthic
hyperbenthos
hyperbetalipoproteinaemia
hyperbetalipoproteinemia
hyperbike
hyperbikes
hyperbilirubinaemia
hyperbilirubinaemias
hyperbilirubinemia
hyperbilirubinemia of the newborn
hyperbilirubinemias
hyperbola (current term)
hyperbolae
hyperbolas
hyperbole
hyperboles
hyperbolic
hyperbolic cosine
hyperbolic function
hyperbolic geometry
hyperbolic navigation system
hyperbolic plane
hyperbolic planes
hyperbolic polynomial
hyperbolic sine
hyperbolic space

Literary usage of Hyperbola

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

1. A Treatise on Conic Sections: Containing an Account of Some of the Most by George Salmon (1879)
"If an equilateral hyperbola circumscribe a triangle, it will also pass through the ... A circle described through the centre of an equilateral hyperbola, ..."

2. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"A conic meeting /, in two distinct points is called a hyperbola, one meeting it in only ... The tangents to a hyperbola at its points of intersection with / ..."

3. Higher Mathematics for Students of Chemistry and Physics: With Special by Joseph William Mellor (1902)
"If we put a = b in the standard equation to the hyperbola, the result is a special case ... This special form of the hyperbola is called an equilateral or ..."

4. Encyclopaedia Britannica: A Standard Work of Reference in Art, Literature (1907)
"If we describe on a diameter AB of an ellipse or hyperbola a circle concentric to the conic, ... An ellipse as well as an hyperbola has one pair of axes. ..."

5. Encyclopædia Britannica: Or, A Dictionary of Arts, Sciences, and by Colin MacFarquhar, George Gleig (1797)
"If a line be drawn through A hyperbola parallel to its fécond ... Hence, if right lines be drawn parallel to the fécond axis1, cutting an hyperbola and its ..."

6. An Elementary Course in Analytic Geometry by John Henry Tanner, Joseph Allen (1898)
"Write the equation of the hyperbola conjugate to that of Ex. 6. 8. Find the equations of the asymptotes of the hyperbola 2z2 - xy - 2x = y2 + y -f- 6; ..."

7. A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and by Isaac Todhunter (1881)
"tbe centre of an hyperbola will not meet the curve if it makes with the transverse axis on either side of it an angle greater than tan"1 -. a 241. ..."

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