# hyperbola

hy·per·bo·lanoun

*pl.*-·las or -·lae·

Geom. the path of a point that moves so that the difference of its distances from two fixed points, the foci, is constant; curve formed by the section of a cone cut by a plane more steeply inclined than the side of the cone

Origin of hyperbola

Modern Latin from Classical Greek*hyperbol?*, a throwing beyond, excess from

*hyperballein*, to throw beyond from

*hyper-*(see hyper-) +

*ballein*, to throw (see ball)

## hyperbola

noun

*pl.*

**hy·per·bo·las,**or

**hy·per·bo·lae**

A plane curve having two branches, formed by the intersection of a plane with both halves of a right circular cone at an angle parallel to the axis of the cone. It is the locus of points for which the difference of the distances from two given points is a constant.

Origin of hyperbola

New Latin*from*Greek

*huperbolē*

*a throwing beyond, excess (from the relationship between the line joining the vertices of a conic and the line through its focus and parallel to its directrix)*; see

**hyperbole**.

**hyperbola**

The equation of this hyperbola is

x2 - y2 = 1.

## hyperbola

Noun

(*plural* hyperbolas *or* hyperbolae *or* hyperbolæ)

- (geometry) A conic section formed by the intersection of a cone with a plane that intersects the base of the cone and is not tangent to the cone.

Usage notes

Origin

From Ancient Greek *ὑπερβολή* (huperbolē).