# Hyperbola

[hahy-pur-buh-luh] /haɪˈpɜr bə lə/

**noun**, Geometry.

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.

/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

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

(hī-pûr’bə-lə)

Plural hyperbolas or hyperbolae (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.

hyperbola [(heye-pur-buh-luh)]

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

Note: 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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hyperbola (hī-pûr’bə-lə) Plural hyperbolas or hyperbolae (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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[hahy-per-bol-ik] /ˌhaɪ pərˈbɒl ɪk/ adjective 1. having the nature of hyperbole; exaggerated. 2. using hyperbole; exaggerating. 3. Mathematics. /ˌhaɪpəˈbɒlɪk/ adjective 1. of or relating to a hyperbola 2. (rhetoric) of or relating to a hyperbole adj. 1640s (iperbolical is from early 15c.), from Greek hyperbolikos “extravagant,” from hyperbole “extravagance,” literally “a throwing beyond” (see hyperbole). […]

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[hahy-per-bol-ik] /ˌhaɪ pərˈbɒl ɪk/ adjective 1. having the nature of hyperbole; exaggerated. 2. using hyperbole; exaggerating. 3. Mathematics. /ˌhaɪpəˈbɒlɪk/ adjective 1. of or relating to a hyperbola 2. (rhetoric) of or relating to a hyperbole adj. 1640s (iperbolical is from early 15c.), from Greek hyperbolikos “extravagant,” from hyperbole “extravagance,” literally “a throwing beyond” (see hyperbole). […]