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## hyperbola

hyperbola (hīpûr´bələ), plane curve consisting of all points such that the difference between the distances from any point on the curve to two fixed points (foci) is the same for all points. It is the conic section formed by a plane cutting both nappes of the cone; it thus has two parts, or branches. The center of a hyperbola is the point halfway between its foci. The principal axis is the straight line through the foci. The vertices are the intersection of this axis with the curve. The transverse axis is the line segment joining the two vertices. The latus rectum is the chord through either focus perpendicular to the principal axis. The asymptotes are lines, in the same plane, which the curve approaches as it approaches infinity. An equilateral, or rectangular, hyperbola is one whose asymptotes are perpendicular. A second hyperbola may be drawn whose asymptotes are identical with those of the given hyperbola and whose principal axis is a perpendicular line through the center; the two hyperbolas thus related are called conjugate.

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"hyperbola." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 15 Jan. 2018 <http://www.encyclopedia.com>.

"hyperbola." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (January 15, 2018). http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/hyperbola

"hyperbola." The Columbia Encyclopedia, 6th ed.. . Retrieved January 15, 2018 from Encyclopedia.com: http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/hyperbola

## hyperbola

hy·per·bo·la / hīˈpərbələ/ • n. (pl. -bo·las or -bo·lae / -bəlē/ ) a symmetrical open curve formed by the intersection of a cone with a plane at a smaller angle with its axis than the side of the cone. ∎ Math. the pair of such curves formed by the intersection of a plane with two equal cones on opposites of the same vertex.

hyperbola

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"hyperbola." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 15 Jan. 2018 <http://www.encyclopedia.com>.

"hyperbola." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (January 15, 2018). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/hyperbola-0

"hyperbola." The Oxford Pocket Dictionary of Current English. . Retrieved January 15, 2018 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/hyperbola-0

## hyperbola

hyperbola Plane curve traced out by a point that moves so that its distance from a fixed point bears a constant ratio, greater than one, to its distance from a fixed straight line. The fixed point is the focus, the ratio is the eccentricity, and the fixed line is the directrix. The curve has two branches and is a conic section. Its standard equation in Cartesian coordinates x and y is x2/a2y2/b2 = 1.

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"hyperbola." World Encyclopedia. . Encyclopedia.com. 15 Jan. 2018 <http://www.encyclopedia.com>.

"hyperbola." World Encyclopedia. . Encyclopedia.com. (January 15, 2018). http://www.encyclopedia.com/environment/encyclopedias-almanacs-transcripts-and-maps/hyperbola

"hyperbola." World Encyclopedia. . Retrieved January 15, 2018 from Encyclopedia.com: http://www.encyclopedia.com/environment/encyclopedias-almanacs-transcripts-and-maps/hyperbola

## hyperbola

hyperbola. Conic section formed by the intersection of a plane with both branches of a double cone (two identical cones on either side of the same vertex or pointed top).

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"hyperbola." A Dictionary of Architecture and Landscape Architecture. . Encyclopedia.com. 15 Jan. 2018 <http://www.encyclopedia.com>.

"hyperbola." A Dictionary of Architecture and Landscape Architecture. . Encyclopedia.com. (January 15, 2018). http://www.encyclopedia.com/education/dictionaries-thesauruses-pictures-and-press-releases/hyperbola

"hyperbola." A Dictionary of Architecture and Landscape Architecture. . Retrieved January 15, 2018 from Encyclopedia.com: http://www.encyclopedia.com/education/dictionaries-thesauruses-pictures-and-press-releases/hyperbola

## hyperbola

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