[hahy-pur-buh-luh]
/haɪˈpɜr bə lə/

1.

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.

British Dictionary definitions for hyperbola

/haɪˈpɜːbələ/

noun (pl) -las, -le (-ˌliː)

1.

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: x²/a² – y²/b² = 1 where 2a is the distance between the two intersections with the x-axis and b = a√(e² – 1), where e is the eccentricity

Word Origin

C17: from Greek huperbolē, literally: excess, extravagance, from hyper- + ballein to throw

Word Origin and History for hyperbola

n.

1660s, from Latinized form of Greek hyperbole "extravagance," literally "a throwing beyond" (see hyperbole). Perhaps so called because the inclination of the plane to the base of the cone exceeds that of the side of the cone.

hyperbola in Science

hyperbola in Culture

In geometry, a curve having a single bend, with lines going infinitely far from the bend.

: The path of a comet that enters the solar system and then leaves forever is a hyperbolic curve (half of a hyperbola).Note

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Scrabble
Words With Friends

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