- 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.
Origin of hyperbola
Examples from the Web for hyperbola
An oval is never mistaken for a circle, nor an hyperbola for an ellipsis.
If the cone is cut off vertically on the dotted line, A, the curve is a hyperbola.Carpentry for Boys
J. S. Zerbe
I said, "if my orbit is a hyperbola, I shall never return to earth."Christmas Eve and Christmas Day
Edward E. Hale
The curve is in this case called an Hyperbola (see fig. 20).
In the hyperbola we have the mathematical demonstration of the error of an axiom.Fables of Infidelity and Facts of Faith
- 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: x ²/ a ² – y ²/ b ² = 1 where 2 a is the distance between the two intersections with the x -axis and b = a √(e ² – 1), where e is the eccentricity
Word Origin and History for hyperbola
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.
- 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.