Hyperbola definitions

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Hyperbola

Hyperbola logo #10101) Arc
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Hyperbola

Hyperbola logo #10101) Certain curve in math 2) Conic 3) Conic section
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Hyperbola

Hyperbola logo #21000 Hyperbolas share many of the ellipses` analytical properties such as eccentricity, focus, and directrix. Typically the correspondence can be made with nothing more than a change of sign in some term. Many other mathematical objects have their origin in the hyperbola, such as hyperbolic paraboloids (saddle surfaces), hyperboloids (`wastebaskets`......
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Hyperbola

Hyperbola logo #23450A curve resulting when a cone is cut along a plane that makes a larger angle with the base than that made by the side of the cone
Found on http://jot101.com/2015/05/a-z-of-science-fiction-words/

Hyperbola

Hyperbola logo #21002• (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...
Found on http://thinkexist.com/dictionary/meaning/hyperbola/

hyperbola

hyperbola logo #21003two-branched open curve, a conic section, produced by the intersection of a circular cone and a plane that cuts both nappes (see cone) of the cone. ... [3 related articles]
Found on http://www.britannica.com/eb/a-z/h/90

hyperbola

hyperbola logo #21160One of the conic section family of curves, which also includes the circle, the ellipse, and the parabola. The hyperbola is obtained if a double cone is cut by a plane inclined to the axis of the cone such that it meets both branches of the cone. Of the four conic curves, the hyperbola is the one l...
Found on http://www.daviddarling.info/encyclopedia/H/hyperbola.html

hyperbola

hyperbola logo #20973<geometry> 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 o...
Found on http://www.encyclo.co.uk/local/20973

Hyperbola

Hyperbola logo #20972Hy·per'bo·la noun [ Greek ..., 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 make...
Found on http://www.encyclo.co.uk/webster/H/81

Hyperbola

Hyperbola logo #21217A hyperbola is a plane curve, one of the conic sections, formed by a plane that cuts both nappes of a right circular cone but does not pass through the vertex of the cone. A hyperbola has two U- shaped non-intersecting branches, identical in form, with the open parts facing in opposite directions; the arms of each branch separate as they recede. A ...
Found on http://www.probertencyclopaedia.com/browse/AH.HTM

Hyperbola

Hyperbola logo #21217In geometry, hyperbola is a curve formed by cutting a cone in a direction parallel to its axis, or so that the cutting plane makes a greater angle with the base than the side of the cone makes, and when produced cuts also the opposite cone, or the cone which is the continuation of the former, on the opposite side of the vertex, thus producing anoth...
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hyperbola

hyperbola logo #20400[n] - an open curve formed by a plane that cuts the base of a right circular cone
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Hyperbola

Hyperbola logo #20687An open curve with two branches, all points of which have a constant difference in distance from two fixed points called focuses.
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hyperbola

hyperbola logo #21221In geometry, a curve formed by cutting a right circular cone with a plane so that the angle between the plane and the base is greater than the angle between the base and the side of the cone. All hyperbolae are bounded by two asymptotes (straight lines to which the hyperbola moves closer and closer t...
Found on https://www.encyclo.co.uk/local/21221

hyperbola

hyperbola logo #21199the 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: &hyperbola;. See diag......
Found on https://www.infoplease.com/dictionary/hyperbola

hyperbola

hyperbola logo #23813a smooth symmetrical curve with two branches produced by the section of a conical surface
Found on https://www.storyofmathematics.com/glossary.html

Hyperbola

Hyperbola logo #23811A type of conic section or symmetrical open curve. The hyperbola is the set of all points in a plane, the difference of whose distance from two fixed points in the plane is a positive constant.
Found on https://www.thoughtco.com/glossary-of-mathematics-definitions-4070804
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