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View synonyms for hyperbola
hyperbola
[ hahy-pur-buh-luh ]
noun
, Geometry.
- the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone. Equation: x 2 /a 2 − y 2 /b 2 = ±1.
hyperbola
/ haɪˈpɜːbələ /
noun
- a conic section formed by a plane that cuts both bases of a cone; it consists of two branches asymptotic to two intersecting fixed lines and has two foci. Standard equation: x ²/ a ² – y ²/ b ² = 1 where 2 a is the distance between the two intersections with the x -axis and b = a √( e ² – 1), where e is the eccentricity
hyperbola
/ hī-pûr′bə-lə /
, Plural hyperbolas hī-pûr′bə-lē
- A plane curve having two separate parts or branches, formed when two cones that point toward one another are intersected by a plane that is parallel to the axes of the cones.
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Notes
The path of a comet that enters the solar system and then leaves forever is a hyperbolic curve (half of a hyperbola).
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Word History and Origins
Origin of hyperbola1
1660–70; < New Latin < Greek hyperbolḗ the geometrical term, literally, excess. See hyperbole
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Word History and Origins
Origin of hyperbola1
C17: from Greek huperbolē, literally: excess, extravagance, from hyper- + ballein to throw
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Example Sentences
The planet would then have moved in a parabola, or an hyperbola, curves not returning into themselves.
From Project Gutenberg
To assimilate the hyperbola to the ellipse was rather to contradict this evidence.
From Project Gutenberg
Only on the assumption that the social value curve for this totality of commodities is a rectangular hyperbola.
From Project Gutenberg
When the conic is a hyperbola the meridian line is in the form of a looped curve (fig. 12).
From Project Gutenberg
This is the equation of an hyperbola whose center is on the axis of abscisses.
From Project Gutenberg
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