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Hyperbola

Hyperbola Hy*per"bo*la, n. [Gr. ?, prop., an overshooting, excess, i. e., of the angle which the cutting plane makes with the base. See Hyperbole.] (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.

Hyperbola Hy*per"bo*la, n. [Gr. ?, prop., an overshooting, excess, i. e., of the angle which the cutting plane makes with the base. See Hyperbole.] (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.

- In mathematics, a hyperbola (listen) (adjective form hyperbolic, listen) (plural hyperbolas, or hyperbolae (listen)) is a type of smooth curve lying in...

- through a focus, and to the perimeter. The semi-minor axis of an ellipse or hyperbola is a line segment that is at right angles with the semi-major axis and...

- surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse...

- Hyperbola GNU/Linux-libre is an operating system for the i686 and x86-64 architectures. It is based on Arch snapshots and Debian development. It includes...

- Hyperbola-1S (also called SQX-1S), and the Hyperbola-1Z (also called SQX-1Z), are single stage, solid-fueled suborbital test rockets. The Hyperbola-1S...

- In geometry, the unit hyperbola is the set of points (x,y) in the Cartesian plane that satisfy the implicit equation x 2 − y 2 = 1. {\displaystyle x^{2}-y^{2}=1...

- less than 1. The eccentricity of a parabola is 1. The eccentricity of a hyperbola is greater than 1. Any conic section can be defined as the locus of points...

- are analogues of the ordinary trigonometric functions defined for the hyperbola rather than on the circle: just as the points (cos t, sin t) form a circle...

- called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its prin****l axes. A hyperboloid is the surface obtained...

- America. H. hyperbola californica Knull, 1947 H. hyperbola hyperbola Knull, 1938 "Hesperorhipis hyperbola Species Information". BugGuide.net. Iowa State...

- through a focus, and to the perimeter. The semi-minor axis of an ellipse or hyperbola is a line segment that is at right angles with the semi-major axis and...

- surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse...

- Hyperbola GNU/Linux-libre is an operating system for the i686 and x86-64 architectures. It is based on Arch snapshots and Debian development. It includes...

- Hyperbola-1S (also called SQX-1S), and the Hyperbola-1Z (also called SQX-1Z), are single stage, solid-fueled suborbital test rockets. The Hyperbola-1S...

- In geometry, the unit hyperbola is the set of points (x,y) in the Cartesian plane that satisfy the implicit equation x 2 − y 2 = 1. {\displaystyle x^{2}-y^{2}=1...

- less than 1. The eccentricity of a parabola is 1. The eccentricity of a hyperbola is greater than 1. Any conic section can be defined as the locus of points...

- are analogues of the ordinary trigonometric functions defined for the hyperbola rather than on the circle: just as the points (cos t, sin t) form a circle...

- called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its prin****l axes. A hyperboloid is the surface obtained...

- America. H. hyperbola californica Knull, 1947 H. hyperbola hyperbola Knull, 1938 "Hesperorhipis hyperbola Species Information". BugGuide.net. Iowa State...

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