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# hyperbola

## Definitions

### from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun A plane curve having two branches, formed by the intersection of a plane with both halves of a right circular cone at an angle parallel to the axis of the cone. It is the locus of points for which the difference of the distances from two given points is a constant.

### from The Century Dictionary.

• noun A curve formed by the intersection of a plane with a double cone—that is, with two similar cones placed vertex to vertex, so that one is the continuation of the other.
• noun An algebraic curve having asymptotes greater in number by one than its order. This meaning was introduced by Newton.

### from the GNU version of the Collaborative International Dictionary of English.

• noun (Geom.) 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.

• 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.

• noun an open curve formed by a plane that cuts the base of a right circular cone

## Etymologies

### from The American Heritage® Dictionary of the English Language, 4th Edition

[New Latin, from Greek huperbolē, a throwing beyond, excess (from the relationship between the line joining the vertices of a conic and the line through its focus and parallel to its directrix); see hyperbole.]

From Ancient Greek ὑπερβολή (huperbolē).

## Examples

• It gives the best fit to the observed data for this particular kind of curve, which is called a hyperbola.

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• It gives the best fit to the observed data for this particular kind of curve, which is called a hyperbola.

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• Just change the name hyperbola and that fits in this case.

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• Lenski did a sort of short-cut equivalent to that exhaustive operation to arrive at the best-fit hyperbola, which is the one you see drawn in.

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• Lenski did a sort of short-cut equivalent to that exhaustive operation to arrive at the best-fit hyperbola, which is the one you see drawn in.

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• If the velocity of the comet is accelerated by this disturbing influence, the orbit will be changed from a parabola into another curve known as a hyperbola, and the comet will swing round the sun and pass away never to return.

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• The semi-major axis of a hyperbola is the distance of the center of hyperbola from the nearest point of hyperbola.

• The semi-major axis of a hyperbola is the distance of the center of hyperbola from the nearest point of hyperbola.